diff --git "a/data/dm_maths/full_data_1/10103_11255.jsonl" "b/data/dm_maths/full_data_1/10103_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10103_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(u) = u**3 - 6*u**2 - 7*u + 3. Let l be y(7). Suppose -l*q + 8 = -q. Solve -q*j = -t - 0*t + 8, 0 = -t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/(14\/(-35) - 22\/20) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 2165*k**3 + 2.\nAnswer: -2165*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.025 - -45. Let w = -0.025 - i. What is the nearest to w in -1, -6\/5, 0.1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23212 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41341 + -1233?\nAnswer: 40103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29\/8 (b) -10 (c) 1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(1\/4)*t)))**(7\/5)\/(t*t**(-1\/4)*t\/(t*t**(3\/8)\/t)) assuming t is positive.\nAnswer: t**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 550079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1050\/33) + (-674)\/3707.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 117, 49714, 2, -1.\nAnswer: -5, -1, 2, 117, 49714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 4, j: 7, k: 1}. What is prob of sequence knc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 1 - 3) + 15. Find the common denominator of (-2)\/8*564\/u and -29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -7 + 8) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76 - 56*c**2 - 2*c**3 - 5*c**2 + 110*c + 29*c**2.\nAnswer: -2*(c - 2)*(c - 1)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 1782.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -86?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - b - 14, 5*p + 5*b - 591 = -631 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 - 417*k**2 + 2*k + 10. Let q(j) = 5*j**3 - 414*j**2 + 2*j + 7. What is -3*q(t) + 2*y(t)?\nAnswer: -t**3 + 408*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217.37 + 253.304. Let m = x + -36. Let h = m + 0.066. What is the closest to h in 2\/7, 4\/3, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3518671 years to months.\nAnswer: 4.2224052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539425 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + f + 1436, -11*w + 15*w + 950 = 3*f. Let x(q) = -q**2 + 4*q - 1. Let h be x(4). Sort w, h, -5 in increasing order.\nAnswer: w, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 11 + 17)*(-9 - 4*r + 9).\nAnswer: -216*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.8 and -1033852266.\nAnswer: -1033852273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22397.\nAnswer: 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -8*l - 15. Let g = -25 - l. Solve -g*z = -2*q - 2*z - 10, 4*z - 31 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 0. Suppose -58*t = -63*t + 220. Calculate the lowest common multiple of a and 319\/t - 6\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1988994 and 348?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450980 divided by 90196.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 6. Does 8 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 185*s + 149 = 183*s, -4*w + 4*s = -624. Calculate the remainder when w is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/6, 5, 2\/5, 513, 52?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -61.\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 9. Let u(m) = 2. Let p(f) = b(f) + 2*u(f). Calculate p(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -26*u**2. Let q(v) = -196*v**2 - 200*v**2 + 538*v**2 - 172*v**2. Calculate q(d(h)).\nAnswer: -20280*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 5*h + 16*h - 3*h to the form o + k*h and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35181.74 rounded to the nearest one hundred?\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 365*b - 367*b + 44 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 2, f: 2, n: 1, v: 4}. Give prob of sequence fvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 11) + 2 + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(1 + 0)*-3. Let q(k) = -k**3 + 2*k**2 - 4*k + 4 - w - 7*k**2. Let f be q(-4). Is f less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o + 10. Let y(n) = -22*n - 10. Calculate 5*y(s) + 6*z(s).\nAnswer: 4*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 237674.98 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:42 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.959 + 0.041. Put 2, z, -1\/11, 1 in decreasing order.\nAnswer: z, 2, 1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 - 966\/(-27). Let w be 368\/v - 2\/9. What are the prime factors of -2*2\/(-8)*w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 161713417465.\nAnswer: -161713417465.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143430002\/3415 - 42000. Let b = j + -60791\/6830. What is the common denominator of 49 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + a82c4?\nAnswer: a8297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 9*o - 140. Let a be (-204)\/(-18)*(-6)\/o. Let d(f) = -f**3 + 7*f**2 - 5*f - 8. Let m be d(6). Sort a, m, -3 in descending order.\nAnswer: a, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -529*c**4 - 5*c**3 - 2*c + 14729. Let l(t) = 352*t**4 + 3*t**3 + t - 9819. Let h(y) = 8*l(y) + 5*w(y). Find the first derivative of h(o) wrt o.\nAnswer: 684*o**3 - 3*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18826 equal to 18838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74299309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:05 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 953, 186 in decreasing order.\nAnswer: 953, 186, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3045, 2982, 2919, 2856, 2793?\n\"Answer: -63*z + 3108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*u + 10104 = 10054, -2*u = -16*o - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*m - 2, -487*m = -4*n - 488*m - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 14495924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2) - sqrt(44)) + 1*sqrt(44)\/sqrt(4) + 1.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90504 and 829440.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -209*r - 1044. Let z be g(-5). Let j(s) = -5*s**2 + 6*s + 1. Give j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 5*z**2 - 13*z + 19. Let x be f(7). Let y = x - -172. Solve -5*r = -j - 13, y*j - 10 = -3*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -104 (b) 0.4 (c) -0.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13463581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 1. Let t = 6.3 - 1.3. Let z = 2 - 2. What is the nearest to -1\/3 in q, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6454000019.\nAnswer: 31, 61, 397, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 - 4*u - 2. Give m(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/4 + 8*v**3\/3 + 5*v**2 + 5*v - 946. What is q(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 100081*t + 100085*t - 404, 2*q + 92 = t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26555316.\nAnswer: 2, 3, 67, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8445, 17195, 25927, 34635, 43313?\n\"Answer: -v**3 - 3*v**2 + 8766*v - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -50 and 0.07 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10*5\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.5 - 7.7. Which is the nearest to -2? (a) 1 (b) p (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19091.37 millilitres to litres.\nAnswer: 19.09137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*a + 252*a = 210. Solve 10*k - a = -25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -4 (c) -1\/7 (d) 1638\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from tiitbbbbtibttqlbbbt.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 33*l**2 - 111*l + 5372. Give y(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4739325 = 116*r + 4735381 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/180 - 5*b**3\/3 - 5. Let t(r) be the third derivative of n(r). Let z(o) = 2*o. Give z(t(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**3 + 126*j**2 - 85*j - 150. Calculate t(15).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -70, -1173 in decreasing order.\nAnswer: 2, -70, -1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 28*b**2 - 59*b**2 + 32*b**2 - 4 + 2*b. Give s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 <= -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g**2 - g - 58. Let a(n) = n**3 - n**2 - n - 1. Let h(k) = -2*k + 8. Let d be h(3). Let i(v) = d*a(v) - m(v). Does 14 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 - 7*r - 11. Let d(a) = -3*a**2 + 4*a + 5. Let h(t) = -5*d(t) - 2*s(t). Let x = -182 - -189. Let g be h(x). Solve 3*l + g + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272196 is divided by 1025?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -28*o - 75. Let t be p(-9). What is the greatest common factor of 472 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j + 2390 = 374 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w**2. Let q(s) = 11*s**2 - 6*s**2 - 6*s**2. What is c(q(h))?\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 3) to base 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (50\/2)\/(134044\/(-1104) + 121)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25123 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 2*k - 2 + 0. Let r = 84 + -90. Does 3 divide a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 2*v - 3. Let m be a(4). Let q = m - -30. Suppose 3*t = q*r - 15, -t + 25 = 3*r - r. Solve 0*s - r = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -456, -1889, -4294, -7671, -12020?\n\"Answer: -486*f**2 + 25*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*p = -0*t - 10, -1 = t - p. Let a(k) = -k**3 - 5*k**2 + k + 5. Let g be a(-5). Calculate the smallest common multiple of t and (g - 5)*9\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1356*v**6 + 2*v**5 + 42*v**2 - 7*v?\nAnswer: -162720*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**2 + 15*p - 15*p)*(-p**3 + 4*p**3 - 5*p**3) + ((-2*p - 3*p + 6*p)*(-p**2 + 2*p - 2*p) + 3*p**3 - 3*p**3 - 2*p**3)*(p**2 + p**2 + p**2).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-6\/7))*o**0*(o*o**(-2\/9))**(-38) assuming o is positive.\nAnswer: o**(-1916\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. What is the least common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001514293 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:03 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4411417 (base 9) to base 7.\nAnswer: -26066266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -137, -3 in descending order.\nAnswer: -3, -7, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179570102 to the nearest integer?\nAnswer: 34345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 11. Determine c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*r + 361*r - 1 - r**3 - 302*r in the form z*r**2 + f*r + s*r**3 + h and give f.\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4974\/15 - (-2)\/5. Let m be 0\/(5 - 6) - -76. Suppose 6*j - m = n. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20110201112 (base 3) to base 6\nAnswer: -2421405","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6164)\/69 - (-2)\/(-3). Is (-318930)\/m - (-4)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 280*j\/11 - 832.\nAnswer: -2*(j - 88)*(j - 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, 5, -9\/520?\nAnswer: -9\/520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + 2*w**2)*((83 - 83 + w)*(0*w + w + w) + 0*w**2 - w**2 - 5*w**2 - 4*w**2 - 2*w**2 + 3*w**2 - 41 + 41 + 12*w**2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m)**32 assuming m is positive.\nAnswer: m**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 - -389. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8352*o**4 - 205 - 1818*o**5 - 8352*o**4 - 2*o**2 - 77 wrt o.\nAnswer: -109080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2484022958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12628718 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -346\/5. Let k be ((-134)\/(-402))\/((-2)\/(-6))*4. Suppose 3\/5*r**k - l*r**2 - 2\/5*r**3 + 1\/5 + 2\/5*r = 0. What is r?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/216 and -2 + 1 - (37\/(-3996))\/((-1)\/183).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 124727194 and 124727194 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*o + 11 = 0, -14 - 12 = 4*g - 2*o. Let p(b) = -9*b**2 - 7*b - 1. Let j(f) = 8*f**2 + 6*f + 1. What is g*p(a) - 6*j(a)?\nAnswer: -3*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*s**5 - 4*s**5 - 179*s + 17*s**2 - 72*s**2 + 25*s**5 - 479*s wrt s.\nAnswer: 60*s**3 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-169757)\/(-4))\/((-41)\/(1148\/(-49))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 58. Let a(o) = o + 44. Suppose -10 = -2*i + 8. Calculate the remainder when a(j) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5.3. Let c = 0.1 + 0.2. Let q = 0.2 + c. What is the nearest to 2 in q, 0.4, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(8\/(-116)*-1). Suppose 3*n + x = 3*x + 119, 2*n + 4*x - m = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*k = 164*k + 1472. Let t = k + -107. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.96856 tonnes in grams?\nAnswer: 82968560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 23*v**2 - 3*v + 36*v**2 + v.\nAnswer: 13*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/(4\/(-12)))\/((-166)\/(-581)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 + (-168)\/(-48). Suppose g*p - 257 = p. What are the prime factors of p?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 81\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020201221210 (base 3) in base 13?\nAnswer: 768acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 - 12*y**2 - 13*y - 1572. Determine r(0).\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6961494 by -843.\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*u - 158 = 2*l, u = -4*l - 155. Let m = -38 - l. Let y = -0.006 + 1.006. Which is the fourth biggest value? (a) 0.2 (b) -4 (c) y (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12985772889 and -2.\nAnswer: -12985772891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/224 and 69\/1168?\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1210, 3, -22, -87, 2, -1 in decreasing order.\nAnswer: 1210, 3, 2, -1, -22, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 21 = -o, 4*y = -3*o + y - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -396877?\nAnswer: -396880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 2:45 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 439782513533 and 1021.\nAnswer: 439782514554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - d?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -29 (b) 14 (c) 4.01 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*i + 11 = 0, 3*y = -0*y - 2*i - 3. Let m be ((-12)\/7 - -1) + y. Is 5\/8 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 849 + -854. Sort 4, q, -27 in increasing order.\nAnswer: -27, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 70 + 2. Let g(x) = x**3 - 4*x**2 + 5*x - 4. What is the remainder when g(4) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 0.1. Let x be (-5 + 1)\/(-8 + 7). Suppose 2*v + 5*n - 15 = 0, n + 9 = 5*v + x*n. Which is the nearest to -2\/5? (a) v (b) k (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2016 is divided by 290.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 359117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9450 + -9441. What is the remainder when 2402 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.6 + -0.4. Let z = w - -4. Let s = 6.0000002 + z. What is s rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 11*d - 1. Let y be v(-11). Let z(g) = 5*g**2. Let q be z(y). Suppose -3*l - o = 14, 2*l - 3*o = 4 + q. Put -4, l, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 16\/6)*-2. Let a be ((36\/10)\/9)\/((-3)\/(-210)). Let n be (-3)\/4*a\/(-21). What is the closest to 0 in y, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.43 (c) 2\/23 (d) -2\/55 (e) 3 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10346011.24 to the nearest one hundred thousand.\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f - 4. Let x be o(3). Suppose 3*y - x - 79 = 0. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 14880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1132402 (base 5) to base 9\nAnswer: 31687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19a + -255?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-13)\/91)\/(-11)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:23 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + v**3 + 273 - 97 - 91.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 34068?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 2, n: 2, f: 3, y: 3, c: 1}. What is prob of sequence ufg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5090 - -5096. Solve 3*z - 18 = -h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.314231 + -82\nAnswer: -82.314231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -132222122 (base 4) to base 16\nAnswer: -1ea9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**8\/336 + 43*a**5\/12 - 171*a**4\/4 + 1426*a**2. What is the second derivative of x(n) wrt n?\nAnswer: -20*n**3 + 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -0.1, 0.2 in increasing order.\nAnswer: -1\/5, -0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -143*d - 130. Let i be f(-1). Let s(c) = 4*c - 52. Calculate s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(264) + sqrt(264)*2))\/(-2*sqrt(396) + sqrt(396) - sqrt(11)))\/(-6*(sqrt(36)\/sqrt(3) - sqrt(12)) + (-1*sqrt(72))\/sqrt(6))*-5.\nAnswer: -75*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189126 and 209874.\nAnswer: 49740138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = g - 4, -2*g + 6*r - r + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.92 from -0.2726.\nAnswer: -14.1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004564947501 to 6 dps.\nAnswer: 0.004565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 - 2 = -3*h, u + h - 2 = 0. Let s(c) = -2*c + c**u - 9 - c**2 + 14 - 4. Let y(o) = -o - 2. Let k be y(-4). What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6432 and 4512.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 - w + 14. Let v be i(0). Suppose 4*s + n = s + 42, -4*n = s - v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a90 - -66?\nAnswer: -5a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/7, 1170.5312?\nAnswer: 1170.5312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 87 + 24 = 0. Let r = j - 34. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/10)\/15*5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let t = -13\/60 - 1\/30. Put t, 1, y in decreasing order.\nAnswer: 1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzp when three letters picked without replacement from {p: 1, z: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13871 - -6368. List the prime factors of d.\nAnswer: 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12504662.\nAnswer: 2, 71, 107, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 9. What is the third derivative of -2*i**2 - 3*i**3 + 3*i**3 + 5*i**2 - 3*i**f wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 3704*x\/3 - 3703\/3 = 0. What is x?\nAnswer: 1, 3703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 143.66.\nAnswer: 2154.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 73.6, 2\/15, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73554.32 rounded to the nearest 100?\nAnswer: 73600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - s + 5*s. Let l(o) be the first derivative of -7*o**3 + 503. Determine j(l(d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375)*-3 + sqrt(375) - sqrt(375)) + sqrt(15))\/(sqrt(45) + sqrt(45) + -2*sqrt(45) + sqrt(5)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/77185 and 18\/97.\nAnswer: 7486945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7\/(-3) - -2)*(-45)\/(-44) and 31\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(1\/2). Suppose 3*j = 2*v + 68, f = -2*v + 15. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -41\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1989 + 363 = -6*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2766730 is divided by 184?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 110\/289, 3, 0.4, 0.21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-7\/2))\/(a\/a**(-2\/111)*a)*(a**(-3\/10)*a)\/(a**(-3\/8)\/a) assuming a is positive.\nAnswer: a**(24673\/4440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10320 and 185?\nAnswer: 381840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1 + sqrt(153) - sqrt(153) - sqrt(153))*5 + sqrt(153))\/(-4*sqrt(81)) - (5*2*sqrt(68))\/(-2*sqrt(576)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*u - 46*u - 7*u)*(-3*u - 1 + 1 + (3 - 1 + 0)*(0*u - 2*u + 3*u) - 2*u - 2*u - 3*u) to j*u**2 + x + v*u and give j.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**8\/110880 - a**7\/13860 + 11*a**5\/60 + 5*a**2. Let z(x) be the third derivative of t(x). Determine d, given that z(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 16*y**2 + 16*y - 11. Determine j(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/22)\/(-317 + 316)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1224\nAnswer: -489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -340 + 340. Is -30\/79 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 5*t**2 - 6*t - 2. Let x be v(-2). Suppose -56 + 2 = -x*o. Let d(j) = -5*j**3 + 7*j. Let r(p) = 2*p**3 - 3*p. Determine o*r(b) + 4*d(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -8) + 2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 28*p - 1635. Give d(37).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14952909 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986932433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 44*w**3\/3 + 2*w**2 - 44*w + 52. List the prime factors of s(44).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*t + 5*l = -210*t - 13421, 5*t - 33626 = 2*l. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 + 8*y + 4. Let b be a(9). Let k be (-8)\/(-10) + (24\/b)\/(-4). Factor 0*x + 2\/11*x**4 + 0*x**k + 0*x**3 + 0.\nAnswer: 2*x**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 - 7*o + 4. Calculate the smallest common multiple of i(-6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -6*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 2*l - 3*l + (3*l + 3*l - 7*l)*(-2 + 1 + 2) + 312*l - 90*l + 169*l)*(-4 - 1 + 2).\nAnswer: -1173*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367949.\nAnswer: 367949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 345679?\nAnswer: 345679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1855 + 3383. Suppose 0 = 3*v + 4528 - a. Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289.6 + 290. Which is the smallest value? (a) -2 (b) -1.7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0298 rounded to two decimal places?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 + 50*w\/3 + 280\/3.\nAnswer: -5*(w - 14)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/210496 and -39\/178816.\nAnswer: 53465984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:09 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - 2*j + 2*j**2 + 3*j - 3*j**4 + (-3*j**3 + 0*j**3 + 2*j**3)*(3*j - 3*j + 2*j).\nAnswer: -5*j**4 + 2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02035979 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 14*y + 40. Let d be z(10). Let t(m) be the second derivative of 1\/75*m**6 + 0*m**5 + d*m**3 + 1\/5*m**2 - 1\/15*m**4 + 0 - 3*m. Factor t(f).\nAnswer: 2*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737 - -47. Suppose -a = -6*q - q. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*j + 52 = -76, -5*n + 123 = 2*j. Suppose 0 = -5*y - 4*i + n, 31 = 4*y - 5*i + 11. Solve -y*a - 23 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1043627s?\nAnswer: 104362700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -883 - -61?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by -10.\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -416 - -3746\/9. Let s = -709 + 3544\/5. What is the closest to 2\/7 in a, s, 0, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and -95\/1244?\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 71. Let g(j) be the third derivative of -3\/8*j**4 - 2\/15*j**c + 0*j**3 + 0 + 0*j - 14*j**2. What is the second derivative of g(l) wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 22*m**2 - 26*m - 18. Let s be n(-9). Do -97 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)*(x**(3\/7)*x)\/x)\/(x\/x**(-2\/71)*x**(-30)) assuming x is positive.\nAnswer: x**(132502\/4473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (-2 + sqrt(108) + -2 - ((sqrt(108) - sqrt(108)*2) + 5)) + 2 + 4))**2.\nAnswer: -144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708810541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 3*n - 2*n + (0 - 2*n + 0)*(1 + 1 + 0) + 2 + 13 - 15 - 73*n as f + o*n and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**3 + 2*g**2 + 3*g + 2. What are the prime factors of r(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379 (base 11) to base 7\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 3 = 20*s + 11. Suppose -12\/7*r**3 + 0 - 4\/7*r**5 + s*r - 12\/7*r**4 - 4\/7*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 18*t**2 - 1. Let g be h(18). Let n(z) = 8*z**2 - 4*z - 5. Let l be n(g). Let s(c) = 17*c - 79. What is the tens digit of s(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2390 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -442, -854, -1400, -2086, -2918, -3902, -5044?\nAnswer: -6350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-30) - (-21)\/90?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - z = 4052, 0 = x - 3*z - 7 - 1017. Is x\/8 + (-3)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1313221*a**4*h**3 - 2*a**4*h + 8*a**2*h**3 + 233*a**2*h + 8*a**2 + 2*a - h**3 - 2 wrt a.\nAnswer: 31517304*a*h**3 - 48*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 2, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose 2*s - 6 = t. Let m = -1 - 0. Put -4, s, m in descending order.\nAnswer: s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 103840348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Suppose 0 = -3*h + c + 22, -2*h - h + 42 = 3*c. Let w(f) = 9 - 9 - h*f. Calculate w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 3*d + 0*d + 1. Let g be x(1). Suppose -44 = 3*c - g*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/p**(-5\/17))\/((p\/(p*(((p**(-1)*p)\/p*p*p)\/p)\/p)*p)\/p*p**(-15\/4)) assuming p is positive.\nAnswer: p**(-473\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*b**2 - 488*b**2 + 6*b - 33*b + 27*b.\nAnswer: -812*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-54) - 1)\/((-2)\/18). Suppose -11*x + t*x = 2*x. Solve -5*n - 8 - 7 = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14482343696 - 6750.\nAnswer: -14482350446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1872834085 + 1872834044.99999914. Let p = b - -40. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v + 887. Let r be b(-43). Solve -32*q + r*q = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-48)\/12)\/((-26403)\/8799 - -3)?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3*p**5\/5 + 21*p**4\/4 - 16*p**3 + 18*p**2 + 11. Suppose o(x) = 0. Calculate x.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 200*t - 12015. Give g(61).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 20\/(-225)*81\/54 + (-424)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 14) + 66 + -9 + -10\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -146*o. Let m(u) = 67*u**2. What is m(t(k))?\nAnswer: 1428172*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 28 + 13 + -32 + 53.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91305, 91306, 91307, 91308, 91309, 91310?\n\"Answer: k + 91304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -613 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let y(u) = -112*u + 45. Let n(l) = 6*p(l) - y(l). Is n(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:42 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -83, -144, -225, -332, -471?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27572, 27690, 27794, 27878, 27936, 27962, 27950, 27894?\n\"Answer: -g**3 - g**2 + 128*g + 27446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -6 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/1*(-608)\/8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 222960 + -222957. Let -3*s**p + 16*s**5 - 17\/2*s**2 + 0 + 48*s**4 + 3\/2*s = 0. Calculate s.\nAnswer: -3, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -27, 0.0505, -2\/9, 6?\nAnswer: 0.0505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58445, -117158, -175857, -234536, -293189?\nAnswer: -351810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g - 558. Let y be k(0). Let f be ((-11)\/((-132)\/y))\/(3\/(-2)). Suppose -2*t + 33 = -215. What is the greatest common divisor of t and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3554093 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*q**3 - 64*q**3 - 295*q**3 + 127*q**3.\nAnswer: -489*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 1400.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-3*l + 2*l + 2*l) - 2 + 2 - 3*l)*(2*l**4 + l**2 - 3*l**4 - 2*l**2).\nAnswer: 4*l**5 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 100266*b - 29023449 = 0.\nAnswer: -33709, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13117*l + 65251. Give y(-5).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 + -135.1. Let d = -1329863811 - -1329863668.9999878. Let m = d - v. What is m rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 0.24628.\nAnswer: -0.74628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m - 8 = -4*p, 4*m + 11 = -5*p. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163 + 274*u**2 + 163 to the form w*u**2 + j*u + l and give w.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 70. Suppose -11 + o = q. Solve -2*z = -5*u - 7, 0*z - u - 11 = q*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.04.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3391*y + 13441*y + 13167*y + 12640*y.\nAnswer: 35857*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*k = 256, 4*k = -3*u + 2*k + 381. What is the remainder when u is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyybyyyyybbyb. Give prob of picking 1 y and 3 b.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.8. Suppose 4*g = -3*j - 765, g + 3*g + 762 = -2*j. Let i = g - -941\/5. Which is the second biggest value? (a) -1\/4 (b) y (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Solve u = -4*o - 4 - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42\/11*s - 40\/11 - 2\/11*s**2.\nAnswer: -2*(s - 20)*(s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648114 times -274?\nAnswer: 177583236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 81509*r**2 + 6*r**3 + 81509*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 + 6*n**2 + 5*n - 2. Let t be 4*((-24)\/(-32) + -1) + 7. Let z(o) = 25*o**3 + 13*o**2 + 10*o - 4. Give t*z(u) - 13*j(u).\nAnswer: -6*u**3 - 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3993 - 3993.9. What is the second biggest value in 4\/3, -3, 3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-2\/5))\/s)\/s**4*((((s\/s**(-2\/5))\/s)\/s)\/s)**(6\/31))**(-13\/7))**(-1\/32) assuming s is positive.\nAnswer: s**(-949\/3472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t + 344. Calculate the smallest common multiple of b(20) and 224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -584, -17, 4 in ascending order.\nAnswer: -584, -17, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8323, 16671, 25035, 33415, 41811?\n\"Answer: 8*o**2 + 8324*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 6*r**2 - 7*r + 6. Let n be i(5). Let k = -68793 + 13621051\/198. Let y = k + -1\/198. Which is the smallest value? (a) n (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -217\/41939?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*0.97.\nAnswer: -0.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(1584))**2.\nAnswer: 24*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -7, 121.6, -4 in decreasing order.\nAnswer: 121.6, 2\/5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2509\nAnswer: 501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 6*t - 6. Let s(y) = y**3 + 15*y**2 + 14*y - 1. Let u be s(-5). Let d = -304 + u. Let r = d - -131. Determine o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - sqrt(20)*5 - sqrt(50)\/sqrt(40))**2.\nAnswer: 1817\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in 16\/97, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 63029 = -345429. Round m to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6156500 is divided by 297?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 6*y)*(174*y - 80*y - 59*y) + 5*y**2 + y**2 - 4*y**2.\nAnswer: 142*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21 and 79\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.3935 litres?\nAnswer: 55393.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 825\/12 + (-2)\/(-8) - (-984 + 998)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -419406 or -419425?\nAnswer: -419406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)\/m)\/(m\/m**(4\/5))*(m**(-3)*m)\/m**(-5))\/((m\/((m*(m*m**(-1)*m)\/m)\/m*m))**18\/(m**(1\/3))**(-35)) assuming m is positive.\nAnswer: m**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 14*p**2 - 15*p + 12. Let d = 655 + -658. Let g be 136\/(-9) + d\/(-27). Determine h(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Suppose -t - 3*t - 4*a + 28 = 0, -t - 3*a = -17. Let q(b) = t + 3*b - 6*b + 25*b + 20*b. What is s(q(g))?\nAnswer: -1764*g**2 - 168*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175\/1278 + 10\/71. Let i(k) be the third derivative of 4\/9*k**3 + 2*k**2 + j*k**5 + 0*k + 5\/9*k**4 + 0. Factor i(g).\nAnswer: 2*(5*g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -25*c**3\/6 - 10*c**2 + 27*c. Let z be k(-1). Sort z, -5, -12 in descending order.\nAnswer: z, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*h)*(-1437 + 360 + 364 + 377 + 372) in the form b + w*h and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 12*p + 20. Calculate n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/3)*s)\/s)\/s)**(-8\/5))**16 assuming s is positive.\nAnswer: s**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4\/2 - 123*m**3 + 1548*m**2 - 2733*m + 2613\/2 = 0.\nAnswer: 1, 13, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 815123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(0 + (-1*sqrt(2736) + 2 + -4 - (0 + sqrt(2736) + -1 + 5 + (sqrt(2736)*1 - sqrt(2736))))))**2.\nAnswer: 4608*sqrt(19) + 175680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96699*k**6 - 3*k**3*y**3 - k**2*y**3 - 35*k*y**3 - 49*k*y - 2*y**3 - 2 wrt k.\nAnswer: -11603880*k**3 - 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -127, -184, -229, -256, -259?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 854054, 1708082, 2562114, 3416150, 4270190, 5124234?\n\"Answer: 2*x**2 + 854022*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.2 + -13.16. Let h be 2\/8 - 5\/4. Let i be ((-3)\/6)\/(h\/4). Which is the second smallest value? (a) i (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 11*g**2 + g - 1. Let f = 21 - 3. Calculate the remainder when f is divided by s(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-217)\/434)\/(96\/(-64)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1359792 and 24776.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35 and -203948?\nAnswer: 203948.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.901 - 0.099. Let j = 0.4 + -0.1. What is the closest to -1 in j, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 9. Suppose -l = 2*g + 1, 7*l + g + 23 = 2*l. Let w be a(l). Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ddfff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72427, -145237, -218047, -290857, -363667, -436477?\nAnswer: -509287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*(-2 + -1). Suppose -3*v + j = -v. Suppose 2*s = -q - 2*q + 37, -2*q = -v*s + 12. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-13771117.\nAnswer: -13771117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -0. Suppose -5*t + 16 = -3*p - g, p = 5*t - 23. Suppose -5*d = -q + 5, -3*d + p*d - 1 = 3*q. Solve r + 3*r + 8 = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 133, 6\/11, 0.007, 7\/3, -6\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/2 - 676387*a\/2 - 1014585 = 0.\nAnswer: -3, 676390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 9*y**2 - 7*y - 55. Let u be s(-9). Let i be (-20)\/(-15)*(-3 + 33\/u). Which is the closest to 2? (a) -4 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/19, 7, -0.2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14968912 divided by 98\nAnswer: 152744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 32, 1961 in descending order.\nAnswer: 1961, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 7) to base 6.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 21*d = 6*w + 30*d - 6*d - 30, -21 = w - 3*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 5. Let z be t(-2). Suppose 3*p + 2*n - 73 = 0, -4*n = 2*p - 4*p + 22. Let k be (-14)\/p*(-6)\/(-4). Sort z, k, -11 in decreasing order.\nAnswer: k, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11507*b**4 + 8786*b**2 wrt b.\nAnswer: 276168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) - 13\/13)*2. Let p(k) = 3*k + 17. Let v(q) = 6*q + 32. Let f(o) = j*v(o) + 5*p(o). Determine f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2230220 - 11?\nAnswer: 2230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 849347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -803 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 10. Let f = d - -7.2. Which is the third biggest value? (a) -2 (b) 2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h + 3. Suppose -3*m - 6*j = -18, -9 = 16*m - 20*m - 5*j. Let r(g) = -21*g - 2. What is m*x(q) - 5*r(q)?\nAnswer: 25*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -25, 3, -0.4, 218 in increasing order.\nAnswer: -25, -0.4, 1\/2, 3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by -30*(4 - (-9)\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5880)\/2058*(21\/2)\/((-12)\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.858 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*r**3 - 3 + ((r + r - r)*(r + 3*r - 6*r) - 6*r**2 - 13*r**2 + 4*r**2)*(0 + 3 + 2)*(-r - r + r) + (0 - 4 + 6)*(2*r**3 - r**3 + 4*r**3).\nAnswer: 98*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3 + 8. Let w = 4.2 + -4. What is the biggest value in n, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80650 + -12339521\/153. What is the common denominator of j and 113\/102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39784080 by -20895.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -15 (c) 868202 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30810856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 6*v - 15)*(-8*v - 4*v + 2*v) - 3*v**2 + 2*v**2 + 0*v**2.\nAnswer: -61*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0508367929 to 5 dps.\nAnswer: -0.05084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3140\/2355)\/(3\/(9\/4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (314\/(-3))\/(4 + 152\/(-36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -81\/5 (b) -109 (c) -4\/5 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 238761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 397227*b**2 + 3850*b - 40 wrt b.\nAnswer: 794454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 795*g**2*q**2 + 14*g*q**3 + 1688*q**3 wrt g?\nAnswer: 1590*g*q**2 + 14*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4230773 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-69)*((12 - -2) + 25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 - 168 = 82*m. Let i(c) be the third derivative of 0*c - 1\/60*c**5 + 1\/3*c**3 + c**2 - 1\/8*c**4 + 1\/60*c**m + 0. Determine i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 8) to base 13.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*r + 147 = -49, 6 = 3*r. Let z = -42 - t. Suppose 0 = z*k + 6*k - 2715. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -10630 in increasing order.\nAnswer: -10630, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1673 + -1593. Let h(g) = 13*g + 5. Let z be h(15). Calculate the highest common divisor of z and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -27) + (-1 - -4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*c**2 + 194*c**2 + 208*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12)\/(19\/(13680\/(-2862)) - -4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622151604 to the power of 1\/2, to the nearest integer?\nAnswer: 40276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let v(g) = -82*g. Calculate w(v(o)).\nAnswer: 246*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5940427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184566 is divided by 92280.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:45 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36348338 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 <= -475.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*v - 5*p, 4*p = -5*v + 3*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -59\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-40)*1)\/((-2)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-10 - -30) - 26 - (42 + 1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (237\/3 + -5)) + -6. What is the second biggest value in 2, 7, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*s + 154, q - 38*s + 41*s - 79 = 0. Suppose 9*i = -3*d + 4*i + 77, -3*d - 4*i = -q. What is the highest common divisor of d and 570?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459474 = -61*g - 38*g + 209370. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639310377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-9)\/24*2). Let x be 3\/15*(1*(0 - 7) + 2). Which is the nearest to -0.2? (a) x (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose 24 + 11 = d*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let x = 0.278572 + -3.278572. Which is the closest to -0.3? (a) x (b) -2 (c) s (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*t + 232*t = 1584. What is the greatest common divisor of t and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*y + 225*y**3 + 40*y)*(-3 + 1 + 1 + (-3 + 2 + 3)*(0 + 1 - 6))*(4*y - 5*y + 3*y) to q*y**4 + k*y**3 + v*y**2 + p*y + t and give q.\nAnswer: -4950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 41, -30, 1 in increasing order.\nAnswer: -30, 1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 - 50*x**2 - 17600*x?\nAnswer: -24*x**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 1. Let z be x(-8). Suppose 6*u = z + 13. Calculate the lowest common multiple of 11 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3556.67056 + -0.17056. Let n = 4180.56 - w. Let o = n + -619. Round o to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 300?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -113.\nAnswer: 58\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*t - 141*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 less than 0.3384934?\nAnswer: -0.1415066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3895273, -7790545, -11685817?\n\"Answer: -3895272*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 22. Suppose 2*i + 2*i + 5*w - 23 = 0, -4*w - 18 = -2*i. Calculate the least common multiple of v and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2441114878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pofa when four letters picked without replacement from {g: 3, o: 3, p: 2, a: 2, f: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(-3*y + y + y)*(5 - 1 - 2).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51035949, -102071894, -153107837, -204143778, -255179717?\n\"Answer: m**2 - 51035948*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 116*m - 77312\/3.\nAnswer: 2*(m - 302)*(m + 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (9 + -6 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192531.\nAnswer: 3, 29, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w + 0*w)*(w**2 - w**2 + w**2) - 6147 + 12544 - 6080 - 34*w**3 + 3*w**2 - w**3 - 3*w**2 as u*w + z*w**2 + f + t*w**3 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -661 + 720.2. Let s = -58.2 + g. Which is the closest to s? (a) -4 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.0000095 + 41. What is f rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - -1 - -2. Suppose m*t - 6*t = 0. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 9, 0, -12 in decreasing order.\nAnswer: 9, 0, -12, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*t**3 - 19*t**2 - 19*t**2 + 38*t**2.\nAnswer: -118*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321\/5 + -64. Let j = 132 - 132.2. Which is the second smallest value? (a) j (b) 5\/6 (c) 0.07 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/12 and 161\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36 in -1, 12, -0.4, 5, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, 31, -36, 15 in decreasing order.\nAnswer: 31, 15, 2, 1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from pddddpdddppddppdddd.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8951 - 0\nAnswer: -8951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -0.7 (c) -0.1 (d) -2\/29 (e) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 18. Calculate the common denominator of -67\/6 and (5 + 518\/(-114))\/(4\/n).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75, -217, -359?\n\"Answer: -142*m + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 25*s - 44 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.8833*-0.4.\nAnswer: 14.35332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*-3*((-2 + 1 + sqrt(425) - (sqrt(425) - (sqrt(425) + 0)*-4 - sqrt(425)))**2 - (-2*sqrt(425))**2*4*-1).\nAnswer: 360*sqrt(17) + 127508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -36*p**5 + 1916*p**4 - 1072*p**3 - 653040*p**2 - 4053888*p + 933120 = 0?\nAnswer: -10, -9, 2\/9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 2*l**2 + 3*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m**4 + 268*m**3 + 384*m**2 - 1908*m + 648 = 0. What is m?\nAnswer: -3, 3\/8, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 5*m + 70 = 0. Find the common denominator of (-1 + 47)*7\/m and -59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/388 and 109\/31716.\nAnswer: 3076452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 16*d + 43. What is the units digit of j(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + sqrt(15) + sqrt(15))\/sqrt(3) + -4 - 6*(4 + sqrt(5)*-1))**2.\nAnswer: -784*sqrt(5) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - (-3 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) 1421\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 36*a - 480. Calculate y(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 16*u**2 + 27*u + 17. Let p be w(14). Suppose 3*x + 0*x - 6 = 0. What is the greatest common divisor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48234765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3873, 31377, 106329, 252549, 493857, 854073, 1357017?\n\"Answer: 3970*r**3 - 96*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3058 and 12?\nAnswer: 18348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*h + 99 = 1019*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 60*i**2 - 4*i - 6. Let u be d(-2). Let v = u + -208. Calculate the greatest common divisor of 68 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 210 and 1257 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(0\/(-11))\/(-1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1746, -450, -5 in descending order.\nAnswer: -5, -450, -1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61765 + -7?\nAnswer: -61774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -282?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 48. Let i be 128 + -1 - 8\/t. Suppose 0 = -3*o + 4*g + 262, -2*o + 48 = -3*g - i. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112)\/10*(-35 + 30). Suppose 4992 = 72*i - o*i. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4 (c) -0.16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1514*a - 12104. Let d be j(-8). Let g(c) = c**3 - 9*c**2 + 17*c - 68. Give g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/44 and -2*(-2073)\/(-432) - 2\/(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 26*n - 147. Calculate the remainder when 829 is divided by j(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 - 66. Let x(h) = h**2 - h + 15. Let j be x(0). Calculate the highest common factor of v and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 5*x + 8. Give n(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 4*u - 8. Let q be j(6). Suppose 4*i + 8 = -f, -i + 0*i = -q*f + 2. Let d be 1\/(0 + (-8)\/2). Put 5, d, i in increasing order.\nAnswer: i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 283, 258, 187, 46, -189, -542?\n\"Answer: -4*u**3 + u**2 + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i - j - 49, 0 = -i + 2*j + 18. Let z = 1 + 3. What is the least common multiple of z and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -0.4. Which is the closest to 2\/9? (a) 2 (b) -2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2. Let d(j) be the second derivative of j**5\/60 + j**3\/6 + 2*j. Let s(n) be the second derivative of d(n). Determine s(w(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 2. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/14*(-4)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-138528)\/94276)\/(2 + (-16)\/7). Factor 0 + d*o - 3\/7*o**2.\nAnswer: -3*o*(o - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 59*m**3\/6 + 35*m**2\/2 + 15*m. Let n be p(-5). Let q be 2\/(-8) - n\/80. Solve -i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826, 3347, 7556, 13459, 21062, 30371?\nAnswer: 41392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 1630. Let b(q) = 2*q**2. Give b(a(k)).\nAnswer: 18*k**2 - 19560*k + 5313800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, -30\/17, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 186 + 209 + -103 + -142?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1350350, 1350420, 1350540, 1350710, 1350930?\n\"Answer: 25*h**2 - 5*h + 1350330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 + -0.8. Let v be 28\/(-21)*(-3)\/(-2). What is the biggest value in -0.1, f, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*a**2 - 3\/4 + a = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-4))*w**(2\/19)*(w\/(w\/(w\/(w**(-2\/3)\/w)*w)))**(-20) assuming w is positive.\nAnswer: w**(-4402\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) 0.1 (c) 0.8 (d) -0.03 (e) -8 (f) 5 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*j - 580*j + 1176*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -30. Let a(l) = -l - 13. Let z(i) = 3. Calculate o*z(b) - 2*a(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 34*p + 18. Calculate g(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4124.4 and -1?\nAnswer: 4123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108.4 - -155. What is b rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131205, 131208, 131211, 131214, 131217, 131220?\nAnswer: 131223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d = -2*l - 13726, l = -2*d + 27462. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y**1)\/((y**(-3\/7)\/y)\/y**(2\/7)) assuming y is positive.\nAnswer: y**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.094 - -2.324. Is p bigger than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*3\/6*-1. Let i = y + -7. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 18 + 6 - 900*d + 3 + 6 + 5.\nAnswer: 2*d**3 - 900*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.69 - -645.31. Let k = 658.1 - l. What is the closest to k in -4\/11, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:13 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3472)\/42*(-342)\/912?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**5 + 452*c**4 + 35332*c**3 + 506736*c**2 + 771074*c + 299212 = 0.\nAnswer: -31, -19, -1, -2\/3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1. Suppose w - 4 = 2*d, 25 = -5*w - 7*d + 2*d. Let j(a) = a**3 - 6*a**2 + 3*a + 5. Let z(v) = w*k(v) + j(v). What is the tens digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -38.92. Round w to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(3 + (sqrt(13) + (sqrt(13) + 3 + sqrt(13) + sqrt(13) + sqrt(13) - sqrt(13)))**2) + (0 + sqrt(1300) + -1)**2.\nAnswer: -92*sqrt(13) + 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 67*n + 27*n - 48 - 199 + 26*n + 16*n.\nAnswer: -2*n**2 + 2*n - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 + 43 + 2*y**3 - 5*y**2 + 94*y + 18 - 44*y - 52*y as m*y**3 + n*y + i + f*y**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-11 - -5) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 23. Calculate u(-17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12567 = -4*z, -x = 2*z + 3*x - 6316. Let c = z + -12517\/4. Let g = -27053\/10 + 2711. Calculate the common denominator of g and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, 0, 189, -2100 in descending order.\nAnswer: 189, 3, 0, -3, -4, -2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -754, -1720, -3406, -5818, -8962, -12844, -17470?\nAnswer: -22846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/(-18)))\/(6132\/32704)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -3\/5 (c) -1\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177874 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 93*x**2 + 105*x + 409. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 948747535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 z when three letters picked without replacement from zzzsnnznnnnnn?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowxxixixwwwiioixii. What is prob of picking 2 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 50. Let t = 26 + y. What is the nearest to -0.1 in -0.3, t, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-2362)\/(-18) - (-8)\/(-36) is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2489 and 82327?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1929, -2153, -2513, -3003, -3617, -4349, -5193, -6143?\nAnswer: -7193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 3*i**2 - 4*i**2 - 6*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610 by -2.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**4 - 34*w**3 - 3*w**2 - 37. Let p(l) = -23*l**4 + 205*l**3 + 17*l**2 + 221. Let n(a) = 6*p(a) + 34*r(a). What is the derivative of n(f) wrt f?\nAnswer: -8*f**3 + 222*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 894847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 99?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1343037 + 4567037. What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92259752*i + i**2 - 92259752*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/7 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42553, -169902, -382047, -678988, -1060725?\nAnswer: -1527258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 264 = 5*x - 4*y, -108 = 2*x - 4*y. Let q be (x\/(-6))\/(3\/27). Let t = q - 56. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 300, 503, 706, 909, 1112, 1315?\n\"Answer: 203*n + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*f + 439 + 133 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160751 - b + 160751.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 31245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/97)*d)\/d**(1\/5)*(d*d**(-28)\/d)**(-48) assuming d is positive.\nAnswer: d**(652238\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6677248 is divided by 487.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away -7.07?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 19. Let v be a(9). Let u = -26 - -16. Let q = u + v. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f + 125. Let g(w) = 6*w - 42. Does 18 divide g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -6, 9, 22, 33, 42, 49?\n\"Answer: -j**2 + 20*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 128 = 382. Let n be 3755\/10*4\/k. Let h = n - 5\/204. Calculate the common denominator of h and 49\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one eighths of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 68. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1079 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:03 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279 = 60*u - 1266 + 4127 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434110518.\nAnswer: 2, 7, 173865037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(7\/13)*(h\/(h*(h**(-7)\/h)\/h*h))\/h**(-2) assuming h is positive.\nAnswer: h**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/(-24)*((-5445)\/3025)\/(12\/10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x + 12. Let s be w(2). Suppose 4*y - 2171 - 433 = -d, 2584 = 4*y - s*d. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 8. Determine y(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (45 - 40 - (0 + 112)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001110110111010 (base 2) to base 12.\nAnswer: 9a222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3 and -3\/211.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8484, 5, -2, 4 in decreasing order.\nAnswer: 8484, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7.3. Let t = -3674 - -33068\/9. Put g, 4\/7, t, -0.5 in increasing order.\nAnswer: -0.5, g, t, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 7711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 87, 3, -4 in ascending order.\nAnswer: -4, 0, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-3 + -14 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18985 from -782.\nAnswer: -782.18985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 9 + (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 2)*(16*a - 6*a + 7*a).\nAnswer: 136*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 3*f**3 - f**2 + f + 25*f**3 - 20*f**2 - 12*f**3 as n*f**3 + m*f + p*f**2 + k and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(7) - sqrt(3)) + sqrt(3))**2 + -2 - sqrt(24)\/(sqrt(8) - (sqrt(8) - sqrt(288) - sqrt(8))).\nAnswer: -sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 210 = 3*j, 2*f + 124 = 4*j - 2*j. What is the greatest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 10*b + 11. Let c be a(11). Let r be c*(-1)\/4*2. Suppose -5*g = 2*u - 23, -g + r = 5. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 at most -102\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.078774302 to 4 dps.\nAnswer: -0.0788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - -7 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13801484.\nAnswer: 2, 17, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330237 and 3645?\nAnswer: 1651185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11683 + 7904. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (-38 + 58 + (-19 - (8 + -1 + -13))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 c(r) be the second derivative of 0 + 40*r + 601\/3*r**3 - 4*r**2. Let q be c(-1). What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Suppose 2*i - 2*d - 8 = 0, -2*i = -5*d + 4*d - 4. Suppose i = -f*l + 17 - 7. Which is bigger: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 494?\nAnswer: 18278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5))\/(i\/i**(-2\/5)))**(-31)\/((i*i**(-2\/3))\/(i*i**(5\/3))*(i**2\/i)**(-27)) assuming i is positive.\nAnswer: i**(812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/(l\/(l\/l**2)))\/l)))**(5\/3))**(3\/25) assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 585 + -626. Let i(q) = q**3 - 11*q**2 + 6*q + 14. Let h be i(10). Let l = h - k. Calculate the highest common divisor of l and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlll when four letters picked without replacement from {l: 12, r: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 1553 = -554. Calculate the remainder when 504 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/2 + 10*y. Let l(g) = -3*g - 2. Let k(p) = 16*p + 11. Let r(s) = 2*k(s) + 11*l(s). Calculate r(n(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 9252?\nAnswer: 9252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(-6\/13)\/l))\/(l\/(l*l**(-10))))\/(l*l**13\/l*l**(1\/4)) assuming l is positive.\nAnswer: l**(-1029\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 45. Give r(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143\/849 - -811027\/28866. Let w = u + 21\/17. Calculate the common denominator of ((-16)\/24)\/((-16)\/(-158)) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -0.5, 3, 0.\nAnswer: -0.5, -2\/49, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-420)\/112)\/(0 + 1\/28). Let u = 109 + c. Suppose u*t + 24 = 5*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2537*f + 2535*f - 22 = q - 6, -3*f + 17*f = -3*q - 96 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54742 is divided by 150.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 43*j**5\/10 - j**4\/6 + 17*j**2 - 20*j + 2. Find the third derivative of z(u) wrt u.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 2*h)*(-6*h**2 - 21*h + 21*h + (-1 + 1 - 1)*(2*h**2 - 4*h**2 + 0*h**2) + h**2 + 2*h**2 - 4*h**2).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 9061?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 4. Let l be f(-4). What is the units digit of (1 + -9)*(l - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - 179. Which is the nearest to g? (a) 4 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191644115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1597715*j**3*p**2*q - 854*j**3*p**2 + 15819*j*p**2 - 22*p**2*q with respect to q.\nAnswer: 1597715*j**3*p**2 - 22*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y - 4. Let k = -35 + 42. Suppose 65 = k*r - 2*r. Suppose 4*i + r = -f, -6*f + 8 = -2*f + i. Give l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 118 and 0.17.\nAnswer: 118.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 + -4.9. Which is the nearest to -2? (a) 2 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/168 + ((-56883)\/(-8) - -1). Is 0\/(2 + -4) + w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*81\/315*-5 + 38\/1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2713335, 2713329, 2713321, 2713311?\nAnswer: 2713299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.842 and 791896.\nAnswer: 791893.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3\/491606827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 3, g: 4}. What is prob of picking 3 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 2*k + 31 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovo when three letters picked without replacement from {o: 4, v: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*c + 72, 0 = -c - c + 4*m + 96. Suppose -t + 82 = 4*i + 15, -c = -t + i. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -1264. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*x, 0 = -3*x + 3*h - h. Suppose x = 15*b - 14*b - 19. Let f = -8 + b. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348233 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = -2*w + 4*k, -w + 4*k = 13. Suppose 2*y - 33492 = 8*c - w*c, -3*y = -3*c - 20088. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 8*c**2 + c**2 - c**2 + 0*c**2 + 0*c**2 + (0 - 4 + 2)*(-2*c**2 + 2*c - 2*c) + c**2 - 6*c**2 - 7*c**2 in the form y*c + m*c**2 + j and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 127 = 101. Are 58 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 7. Let o(v) = 4*v + 15. Let n(f) = -5*c(f) + 3*o(f). What is n(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 1. Let x be h(-1). Let q be 3 - 2 - (x + -3). Let s(m) = 2*m**3 - m**2 + m. Let y be s(1). Solve -4*n = y*w + 14, q*n - 2*w = 1 - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61417 is divided by 239.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 10*l**2 - 5*l + 4. Suppose -f - 1 - 2 = 0, 4*k - 5*f = -17. List the prime factors of o(k).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 3*m + 2 - 13*m**3 - 2.\nAnswer: -13*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 111, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -2 + 16*g - 1\/30*g**6 + 0*g**4 - 23\/2*g**3 + 3\/20*g**5 + 0*g**2. Find the second derivative of r(s) wrt s.\nAnswer: -12*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 2. Let z be (-5)\/2 + (-2)\/(-4). Let s = 574 + -571. Let a(c) = 49 + 54 + s*c - c - 160 + 56. What is z*a(t) - 3*y(t)?\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7*r + 4)*(-1 + 4 - 2)*(-3*r + r + 4*r - 6*r + r + r + 3*r - r - r + (1 - 1 + 2)*(-2*r + 3 - 3)).\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1656 and 12.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773997 is divided by 430.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 - 137*y - 413 + 792 - 3*y**3 - 379 - 1097*y**2 = 0.\nAnswer: -137, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120142866?\nAnswer: 2, 3, 4079, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834 + -445612806?\nAnswer: -445610972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -17379 (c) -4 (d) 5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/8252675 and -57\/2640856.\nAnswer: 66021400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -19\/5626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*u - 795*u - 757*u - 334*u - 789*u + 219*u.\nAnswer: -2083*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170385 or 170383?\nAnswer: 170385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-12)\/4 - -2). Let p be ((-187)\/(-22))\/(1\/(-2)). Let w be (p\/(-34))\/(21\/2). Is h not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4, 4*b = h + 4*h + 16172. Suppose -3*f + c + 1 = -75, 86 = 3*f + 4*c. Suppose -10*v - b = -f*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 13*f**2 - 12*f - 5. Let b be ((-20)\/35)\/(2\/(-49)). Is 5 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/((-119)\/(-28) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j - 22 = 0. Let w(z) = 5*z - j*z + 9*z. Let i(y) = -35*y - 196. Let f(r) = -3*r - 16. Let v(a) = -49*f(a) + 4*i(a). What is v(w(p))?\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*18\/(-8)*10\/12765*-74?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110010110000000010000011?\nAnswer: 110010110000000010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i + 1. Let j be b(1). Let d be 2 - 0\/(-2) - (-46 - -46). What are the prime factors of (-3)\/(d\/(8\/j))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*-1*(sqrt(76) + (sqrt(76)*-2 - sqrt(76)))*3)\/(-6*sqrt(36) - (sqrt(4) + (sqrt(144) - sqrt(4) - sqrt(4)) - sqrt(4))).\nAnswer: -6*sqrt(19)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 90313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/20*4*-1*(-65)\/(-221)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 230 = 0. Let s = i + -30. What is the least common multiple of s and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 - -2) - 20\/(-40)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 + 13*j**5 + 0*j**5 + (-j**4 + 0*j**2 + 0*j**2)*(-2*j + 0*j + j).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 + 6746367*o.\nAnswer: 3*o*(o + 4497578)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 6*k + 7. Let f be c(-5). Let p = -107 - -41. Let y = p + 69. Solve -y*t + 4 = -f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12139*g - 12681*g - 12466 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 711 - 511. Suppose -32*v + j = 18*v. Solve 9 = -w + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 1\/2*d**2 + 1\/8*d**4 + 0*d - 1\/2*d**3 + 1. Let t(f) be the second derivative of z(f). What is the derivative of t(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3238977 - -74485157\/23. Let z = l - -492. Does 0 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 5. Let c be o(4). Suppose 5*h + 13 = -32. Let g = c - h. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.269 - 0.069. What is the closest to x in 2\/21, 6, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -902*d + 13*d**3 + 2717*d - 932*d - 14*d**3 - 883*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 13. Let s = -11 - x. What is the second biggest value in -4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6189 + d + 6186 - 12372.\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/2 - 2813*p**2\/2 + 771037*p - 1536444 = 0.\nAnswer: -3283, 2, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218585145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 21780*h + 23718420.\nAnswer: 5*(h + 2178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31572 and 5508?\nAnswer: 4830516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 212840 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let i(r) = 6*r + 1. Let m(v) = -v**3 + 22*v**2 - 21*v - 1. Let y be m(21). Calculate y*i(s) - u(s).\nAnswer: -5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, l: 4, f: 8, b: 1}. What is prob of picking 2 f?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.48, 3\/5, 0.1, -34?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.17716861 rounded to three dps?\nAnswer: -7.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 56*p - 57*p. Solve -6*i = -p*i - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 11108.\nAnswer: 55540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 754.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**2 + 0*r**2 + (-2*r - 2 + 2)*(3*r + r - 5*r) - 2*r**2 + 0 + 0)*(-230*r - 179*r + 148*r).\nAnswer: -522*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 489.86414 to one decimal place.\nAnswer: 489.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685679.\nAnswer: 3, 211, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3 - 15. Suppose 85 = -i + n*i. Let z = i + -10. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2022489)\/218484 - 2109\/(-228).\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4546563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) - -1)\/(6\/44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/73, -0.05, 0.5, 0, 1 in ascending order.\nAnswer: -0.05, -2\/73, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -111332312?\nAnswer: 111332301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 103*u + 1335. Determine m(-18).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -97, -155, -209?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvyvyvvvvv. Give prob of sequence yvy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*s - 1147*s**2 - 344*s + 1011*s - 341*s to the form t + y*s + p*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 2232?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let o = -0.02 + 0.42. Let z be ((-20)\/(-8) + -2)\/((-20)\/(-8)). Sort j, o, z in descending order.\nAnswer: j, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4320001 (base 5) to base 4.\nAnswer: -101312212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.111 + 1.911. Let a = 1.842 - r. Let x = 2.958 + a. Sort 4, x, 2 in decreasing order.\nAnswer: 4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 241 = -2*q - s, -3*s = 0. Let g(c) = 62*c**2 + c + 2. Let x be g(2). Let z = x - q. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2111854, -4223716, -6335576, -8447434, -10559290?\nAnswer: -12671144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -652288 and -12164?\nAnswer: 640124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24917 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -710 + 707. What is the nearest to -0.4 in -4, -2, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.0814199196449?\nAnswer: -1.0814199196449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 0*w + w)*(3 - 4 + 0) - 11*w + 70 - 70)*(w - w + w**2).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 17*u + 218. Determine v(-41).\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**8\/336 + 251*o**6\/60 - 111*o**5\/20 + o**4\/24 - 505*o**2. What is the third derivative of j(p) wrt p?\nAnswer: 60*p**2 + 3012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 10. Sort 0.3, -3\/4, g.\nAnswer: g, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34859252?\nAnswer: 2, 31, 73, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.8432 millilitres in litres?\nAnswer: 0.5218432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3648 + -3643. Let u(h) = h**2 - 7*h - 2. Let g be u(8). Let y be ((-1)\/3)\/((-7)\/g). Sort q, y, -4\/5.\nAnswer: -4\/5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205, -809, -1799, -3163, -4889, -6965?\n\"Answer: 2*l**3 - 205*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-856)\/(-36) - 2\/(-9). Suppose 0 = -2*t - 2*t + d. Suppose -5*j - 1 + t = 0. Solve -f = j - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k - 71*k - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -90. Suppose -12 = -f + 2*j, 3*j + 5 = -d*f - 0*f. Factor 0*i**f + 0 + 2\/11*i**4 + 0*i + 2\/11*i**3.\nAnswer: 2*i**3*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38618 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795912099.\nAnswer: 3, 265304033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2633550 (base 8) in base 13?\nAnswer: -1c9778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -45?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5549 and 8153.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 5624*v**3 + 8*v**2 - 22496*v = 0. What is v?\nAnswer: -2, 0, 2, 2812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6 and 59026 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254 + 172434?\nAnswer: 172170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -67 + 222. Find the first derivative of -5 + r*z**3 + 14 - 4 + 6 wrt z.\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l + 2. Let m(w) = w**4 - 15*w**3 + 4*w**2 - 7*w - 1. Let g(p) = m(p) + 4*u(p). Find the second derivative of g(h) wrt h.\nAnswer: 12*h**2 - 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-148)\/(-6). Suppose -b - 242 = -12*b. Let i = h - b. Which is smaller: 0.07 or i?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5698044*v**4 + 855696*v**2?\nAnswer: -136753056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u - 8 = -p - 47*u, 0 = 5*p - 5*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 9*z - 2. Let x be j(-5). Solve -7 = -5*q + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82839855?\nAnswer: 3, 5, 7, 37, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10609 is divided by 983.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -136.9 and -0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 77, 103, 119, 125, 121?\n\"Answer: -5*z**2 + 51*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*n*z - 32*n + 1 wrt z.\nAnswer: -37*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + 6 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.5, 1\/8, -1.6, -9\/130?\nAnswer: -9\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16300766 is divided by 627.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-22)\/4 + (-8652)\/(-94) + (-518)\/12173.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6)*54\/(-60). Let h = 13\/180 - o. Which is the third smallest value? (a) -3\/2 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 173. Let p(z) be the second derivative of o*z**4 + 0*z**5 + 0 + 1\/6*z**6 + 2*z + 3*z**2 + 0*z**3. What is the first derivative of p(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3545486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/5))\/g)**(-13\/5)*((g\/g**4)\/g)\/((g**7\/g)\/g*g)*g**1\/g**(-2\/3)*g*g**(-2\/5)\/g*g**(-6\/5) assuming g is positive.\nAnswer: g**(-667\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:07 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 86, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, 1\/2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -bcc?\nAnswer: -bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-46)\/8. Let n(y) = 2*y**2 - 3*y + 5. Is n(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 121*n + 8 - 1)*(-2 - 4 + 2).\nAnswer: 484*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d**(-39)*d))*(d**(-30)*d)\/d assuming d is positive.\nAnswer: d**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, s: 1, r: 5}. Give prob of picking 1 q, 1 r, and 1 s.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(4*sqrt(21)\/sqrt(7) + 5) + 4)*-5.\nAnswer: -120 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 5424*q\/7 + 16290\/7.\nAnswer: -2*(q - 3)*(q + 2715)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-7)*(-126)\/36. Suppose 0 = -d*u - 2*u + 16. Find j such that u + j**3 + 6*j - 6*j**3 + 3*j**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -2 - (-44 + -3 + -28).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*l - 570, 0 = -2*s + 6*s + 4*l - 540. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 1\/4*c**4 - 1\/4*c**5 - 3*c + 0 + 0*c**3 + 0*c**2. What is the third derivative of k(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/239?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 2 = j, -2*v = 5*j + 10. Suppose v = -4*h + 14 + 18. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 2)*(-3*g**2 + 0*g**2 + 4*g**2) - 43*g + 43*g + 56*g**2 in the form l + t*g**2 + y*g and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 7 = -8. Let x be 0 - (2 + -24 + -1 - -4). Let r(i) = x*i + 3 + 1 - 18*i. Determine r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v + 2*v + (6 + v - 6)*(0*v + 3*v + v))*(2*v + 2*v - 3*v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9632578*d - 9632717*d + 4448 = 0 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (16 + -21)) + -12 + (-5 - 59)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17*z**2 + 50*z + 6. Let v(i) = -34*i**2 + 6*i - 3. Let r be v(0). Give k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Suppose -n*s + 3*c - 1 = 2, 4*c - 27 = -5*s. Sort s, 6, -2 in ascending order.\nAnswer: -2, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -3, 1, -4 in decreasing order.\nAnswer: 13, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1740 - -3464. Let k = g - 1724.0000933. Round k to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -13 - 9 - -18 - 46\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447949 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**2)**37\/(t\/t**(1\/4))**(15\/2) assuming t is positive.\nAnswer: t**(-341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28561626 a multiple of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5971404ml to litres.\nAnswer: 0.0005971404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/6*4\/(-5). Suppose 4*c + 12 = 4*i, c + 14 = q*i + 3*c. Solve 0*p + 5*o - 35 = -3*p, 0 = p - i*o + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 3*b**2 + 5*b - 1. What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 6. Let r(a) = -2*a + 5. Let c(t) = 5*l(t) - 6*r(t). Let b(x) = -4*x + 5. Let o(q) = 6*q - 7. Let d(j) = 7*b(j) + 5*o(j). Calculate c(d(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 7*(-7)\/(21\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28973 is divided by 229?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883646.\nAnswer: 2, 61, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.124 - 1.51.\nAnswer: -1.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 13)\/(-1 + 0). Suppose c*b + 4*b - 136 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89\/15 + -29\/5. Let p = -6.3 + 1.5. Let v = 5.1 + p. Sort -2\/7, d, 0, v in ascending order.\nAnswer: -2\/7, 0, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29751 and -29808 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/4 + j**2\/2 + 2*j - 5. Let d be x(0). Suppose -30 + 90 = d*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r**2. Let c(z) = 660*z**2. What is 2*c(w) + 121*p(w)?\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5\/8)\/y)\/(y**(-15)\/y))\/(y**(2\/19)\/y**(-2\/47)) assuming y is positive.\nAnswer: y**(108783\/7144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 865 - 791. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/75 (b) 0.5 (c) 479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 2*v - 3. Let d be w(5). Suppose d + 1 = u - 3*c, 2*u = 5*c + 22. Suppose -3*m - 6 = -6*m. What is the greatest common divisor of m and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20192592 and 14?\nAnswer: 20192592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 4) + (-126 - -125)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/613 and (1301925\/76625 - 17)*(2 + -3)\/(-4).\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29612584*-1.\nAnswer: -0.29612584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**4 - 2*y**3 + y + 1. Let h(j) = 9*j**4 + 2*j**3 + 24*j**2 + 248*j - 520. Let m(p) = 8*f(p) + h(p). Factor m(c).\nAnswer: (c - 8)**2*(c - 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from zqbqeznzneee.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + 3. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**7\/7560 + 7*f**4\/24 - 2*f**2. Let z(w) be the second derivative of j(w). Factor z(t).\nAnswer: t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) -2.49 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 64 - 120 = 0. Let b be 32\/8*14\/(-8). Let y(h) = -h**3 - 8*h**2 - 10*h - 9. What is the remainder when k is divided by y(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 3539439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + b + 10. Let u be i(-8). Let a = 288 - u. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -13. Let r be 8*(-10)\/(320\/(-12)). Solve 2*s = -r*n + 5 + a, -n + s = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a13742 (base 12) to base 16.\nAnswer: 266162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 36681 - 3691 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77563.231 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*i - 373*i = -4*y - 64, 3*y - 8 = i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 40 = a. Let i(v) = 32*v**2 - 38*v. Is i(a) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -17. Let g = -181 - -180. Is g < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 16*l**2 - 12*l + 5. Let z be y(7). Suppose 6*k + 13 = z*k. What is the closest to -2\/19 in 2\/21, k, -1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 - c**2. Let o be f(1). Let l be 45\/o + 6\/(-24). Calculate the highest common divisor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 2*u + 4*k - 103, -4*k + 614 = -5*u. Is 2\/12 - 17241\/u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2 and -11\/1685.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = o + 24*m - 27*m, 5*m = 4*o - 118. Calculate the remainder when 108 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 5*g - 3. Let y be f(-3). Let r be y\/(2 + -2 + -2). Let m be -1 - (-1 + (2 - r)). Solve -q = m + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 59391?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 6. Let f(w) be the second derivative of -w**5\/20 - 3*w**4\/4 + 4*w**3\/3 - 7*w**2 - 2*w. Let s be f(-10). Solve -o - s = -n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8698867?\nAnswer: 227, 38321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*q - 1374*q + 32877 = -466*q - 13050 for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 9. Let c(a) = -5*a**3 + 9*a**2 + 4*a - 13. Let l(u) = -17*u**3 + 27*u**2 + 13*u - 39. Let i(b) = -7*c(b) + 2*l(b). Calculate i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 9*x**2 - 10*x + 5. Let z be d(-10). Let f be 2\/z + (-48)\/(-80). What is the units digit of 1\/f*(8 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*i**2 - 5*i + 0.\nAnswer: 5*i*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -192, -306, -456, -636, -840, -1062, -1296?\n\"Answer: z**3 - 27*z**2 + 2*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 1 + 3)*(-3*x - 2 + 2 + 2*x - 5 + 5 + (-x - x + 3*x)*(1 + 0 - 2)).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l. Let g(s) = -4 + 4*s**2 + 4 - 5*s. Let n(f) = -g(f) - 5*r(f). Let v(i) be the first derivative of -i**2 - 2. What is v(n(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186215.\nAnswer: 5, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/17 - 53\/34. What is the closest to 2\/5 in -3, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 37*r**2 - 17*r - 9. Let m be f(18). Let l(w) = w**2 - 10*w. Give l(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let p(r) = r**2 - 1 - 2*r + r**2 + j*r**3 + 2*r**2. Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -525364\/141 - -3726. Are 1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -25*q**2. Let z(a) = -2*a**2. Calculate 3*h(f) - 40*z(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, o: 7}. Give prob of sequence qqo.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -328 (b) -4 (c) 0.26 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 914118221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.302 to 1 decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100905034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/5488 and -43\/8?\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -0.07\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 30*g + 46. Is 15 a factor of f(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/420 and 109\/447580.\nAnswer: 1342740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-13 + (-24)\/(-22 + 46)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y - 189 = 106*y. Put 2, -2, y, 1 in descending order.\nAnswer: y, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/13518 and -3\/14?\nAnswer: 94626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 4*j. Let v = -32 - -37. Let q be r(v). Let m(n) = -n**3 + 100. Let k be m(0). What is the greatest common factor of q and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m + 12 = 3*f, 5*f - 3*m - 18 = 0. Suppose 3*k - 12 = -f*x, 5*k - 38 = -x - 2. Let a = -1 - -6. What is the least common multiple of k and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*h = -66, 5*h + 123 + 82 = 5*b. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let n be s(-11). Suppose 0*g - 2*g - 4 = 0. Find the common denominator of 760\/n*g\/(-8) and -3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4152.2 + -4152. Which is the nearest to 1? (a) 0.25 (b) z (c) -4 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42183 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 18*s - 35. Let u be f(20). Let n(i) be the first derivative of -1 + 0*i**2 - 2\/35*i**u + 0*i - 2\/21*i**3 - 1\/7*i**4. Factor n(y).\nAnswer: -2*y**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24417.348 to the nearest 10.\nAnswer: -24420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - 3 - (4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(80\/120)\/((4*1)\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1421?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 145609.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 778264013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1 + 0 + 2. Solve 5*x + l = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -56*f**2 + 3*f + 35. Give d(4).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 + 16)*2*1. Let n(p) = 5*p - 5. Let c be n(x). Suppose 5*w = c*j - j - 30, -5*w = 10. Sort -3, j, 1 in decreasing order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let w = -0.8 + -1.2. Let b = q + w. What is the second smallest value in -2, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6245737287 to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:49 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 23*c + 105. Is 18 a factor of r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -m - 3*m. Let r be 3 + (-20)\/m - 3. Suppose -47 = -0*g - r*g - 2*x, 4*g + 2*x - 36 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 12*f - 15. Let v be p(-10). Find the second derivative of -7*r**4 + v*r + r**4 + 0*r wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*m = 0, 18*g - 4*m + 132 = 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 7. Suppose -s*p + p + 21 = -5*f, -15 = -2*p + 3*f. Let b = -1 + p. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 2*s + 14, -12 = 3*s. Suppose 96*p = 78*p + 36. Let o be 64\/20 - 1\/5. Solve o = p*r - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 48, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 14. Let c(r) = r. Let t(f) = -5*c(f) + x(f). Let m be t(8). Let n(v) = -v + 8. Calculate n(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let q(j) = 25*j + 1. What is 7*m(i) + 2*q(i)?\nAnswer: -6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 508 - 517 = 0. Let p(h) = -5*h**2 + 6*h. Let x be p(6). Let w = x - v. Round w to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) + (2\/(-5) - -2). Suppose -b*c = -3*c + 7. Let l(x) = -x**3 + 9*x**2 - 11*x. What is the units digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -406 or -405?\nAnswer: -406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/30)\/(-1))\/(163\/(-978))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/11 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r)**(6\/35)*(r\/(r**(-1\/4)\/r))**(-10)*(r**(-1\/2)\/r**(-2))\/(r*r*r\/(r**(-2\/5)*r)*r)**21 assuming r is positive.\nAnswer: r**(-6459\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, 28, 160, 292, 424?\n\"Answer: 132*g - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-105)\/(-245))\/((-2)\/(-14)). Solve 0 = 5*k - w + 6*w, -2*k = -w + f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 49 + 68 = 0. Let t be (52\/6)\/((-6)\/(-45)). Calculate the greatest common divisor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 22711735?\nAnswer: 22711736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*o*r*w*z + 2*o*w**2*z + 5*r*w**2 - 2*r - 3*w**2 - 6*z wrt o?\nAnswer: -134*r*w*z + 2*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 9010371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:29 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 != 60.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g - 1. Let j(w) = -5*w - 2*w**3 + 1 - 3 + 7. Let z(l) = -3*l**2 - 20*l + 8. Let h be z(-7). Determine h*j(f) + 5*s(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49326?\nAnswer: 2, 3, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 47535*k - 41593120. Give c(875).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -2. Let p(c) = -3*c + 12. Let q(z) = -2*z + 11. Let y(x) = 3*p(x) - 4*q(x). Let t be y(m). Which is smaller: -2\/19 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.14 (b) 2\/3 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (10422\/(-2316))\/(2\/12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28738155.\nAnswer: 3, 5, 23, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32110 divided by 6422.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/36 and -22\/3105.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - i - 2*i + 4*i. Let s be c(-3). Let q(d) = -d**3 + 7*d**2 - 5*d - 5. What is the units digit of q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 108.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5332.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 6 + 6, 5*n - 3*y + 41 = 0. Let r = 17 + n. Find the first derivative of 16*b + 11 - r*b - 11*b + 19 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 1. Let x(z) = 3*z**3 - 3*z**2 + 3*z + 3. Give -3*p(j) + x(j).\nAnswer: 3*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1181 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4 and (-222)\/(-24) + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -13*b**5\/60 + 55*b**4\/8 + 28*b**3 - 3*b**2. Let f(i) = -6*i**2 + 82*i + 84. Let y(m) = 5*f(m) - 2*h(m). Factor y(n).\nAnswer: -4*(n - 21)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53020*k + 17808*k + 17606*k + 17609*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 3.\nAnswer: -2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l - 27*l - 2109 = 0. Solve -54*u = -l*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -2, 3, -3 in descending order.\nAnswer: 3, -2, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504200245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*r - 5, -s + 17 = -r + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8)*-2 - 1349\/(-142). Suppose d*k - 16*k = -2863. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/20)\/(12\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 30. Let i be q(11). Solve 5*y = i*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 + 452*u**2\/3 - 2446*u - 8676 = 0. Calculate u.\nAnswer: -241, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkkol. Give prob of picking 1 d and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1291 - 1290.999998902. What is g rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5 - 15*i**4 - 21*i**3 + 15*i**2 + 18*i = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3 + 3 - 7 - 7 - f**3 - 5*f**2 + 4*f. What is the remainder when g(-6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 46*c**2 - 2*c + 4. Let x be j(3). Let p = -244 + x. Suppose y = p - 43. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-4) - -1)\/(7\/84). Let a(x) = -x**2 - 12*x + 2. Is a(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2289625 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - 141. Let b = z + -48. Let t(v) = -b + 1 - 630*v + 636*v. Let r(f) = 5*f**2. Calculate t(r(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.06 (b) 0.5 (c) 24\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 64549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*p = 9, -4*g - 4*p - 49 = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -573, -896, -1217?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1381 - 2314 - 1813)*(-c + c + 3*c) as k + q*c and give q.\nAnswer: -16524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let w be y + (-2 - -2) + 8. What is the closest to 1\/2 in w, -2\/7, -3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 448*k**2 + 55*k - 3*k**3 - 414*k**2 - 2 - 52*k as v*k**3 + b*k + g*k**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0, -2.7, -1.1, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + -3 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -1, 31, -7, -4, 344 in ascending order.\nAnswer: -7, -4, -2, -1, 23, 31, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16216799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(400))\/sqrt(10))\/(sqrt(8) - (sqrt(8) + sqrt(128)*6)))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-102))\/(((-3)\/(-6))\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726.431 days in seconds?\nAnswer: 235563638.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*q - 214207 + 208835 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -87395 (b) 2\/7 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -1)*-2 + ((-2*sqrt(832) + 5)**2 - sqrt(832) - sqrt(832)) + sqrt(832) + 3 + 4*(-2*sqrt(832) + -5 + sqrt(832) + 0 + sqrt(832)*-1)**2 + 2.\nAnswer: 456*sqrt(13) + 16772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:42 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(95) + sqrt(95) + -2*(sqrt(95)*2 - sqrt(95)))\/(sqrt(80) + 1*sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*i**2 - 277*i**2 + 0 + 6 - 4 - 156*i**2 as u*i**2 + x*i + y and give u.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 161*k + 7168. Calculate n(-45).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(486) - sqrt(486)*2 - sqrt(6)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110110001111100111 (base 2) to base 11.\nAnswer: -957769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 7*j - 16. Determine s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111000110 + 1001110?\nAnswer: 100100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 62500*p**2 + p + 4. Let n(m) = 2*m + 10. Let y be n(-7). Let r be z(y). What is r rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 10:30 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -687, -3, -597938.\nAnswer: -597938, -687, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l**2 + 43*l + 382. Does 21 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19 + 3)*((-1)\/1 + 0). Suppose 0 = 16*m - 91 + 27. What is the greatest common factor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23.271706 and -0.1.\nAnswer: 23.171706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 9*b + 11. Let l(q) = q**2 + 3*q + 4. Let v(h) = 4*k(h) - 11*l(h). What is the second derivative of v(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmgmmmmtmmtmmm. Give prob of sequence mmm.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.2, 1\/47, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 < -63\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826885 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -295386.21 to the nearest 1000.\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 9*y**2 - 4*y**3 + 11*y**3 in the form n*y**3 + i + b*y + g*y**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 28?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10\/19 (b) 4\/7 (c) 5 (d) -14 (e) -3\/8 (f) -2\/409\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33466\/(18\/(-36)*-4).\nAnswer: 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.47 - 2.53. Sort -0.2, 3, b, 0.3 in descending order.\nAnswer: 3, 0.3, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 8. What is the closest to -11 in -2\/23, 0.3, 0.5, v?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 1. Let g be c(9). Suppose -11 = 22*h - g. Solve 0 = 2*m + 4*x - 4, h*m - 6*m = -4*x - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b = -38*b - 6. Suppose 4*z + 0*v = -b*v + 1990, 5*z - 2489 = -3*v. Round z to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let c(q) = 39*q**2. Calculate t(c(f)).\nAnswer: 3042*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 4*i - 1. Let b be z(1). Suppose 4*c - 13 = p, -c + 8 = c. Let w(g) = -2*g - 2. Let j(m) = m + 2. Determine b*w(t) + p*j(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/3 + 2359*m**4\/3 - 1201*m**3\/3 - 8257*m**2 + 3549*m + 10620 = 0.\nAnswer: -1180, -3, -1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 16. Let b be 10\/35 - x\/(-7). Let c be (6\/(-5))\/(b\/(-5)). Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**1*y)**(-33))**8)**(5\/14) assuming y is positive.\nAnswer: y**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690460 to the power of 1\/2, to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 62 = 5*r + 4*m, 44*r = 37*r + 5*m - 56 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0141 or 115500?\nAnswer: 115500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/10 and 21\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(9) - (sqrt(729) - (1*sqrt(729) - sqrt(729))) - sqrt(9)))\/(1*sqrt(384)*2 + sqrt(384) + sqrt(384) + sqrt(384)) + -2.\nAnswer: -2 - sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Does 8 divide (d\/6)\/(4\/168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nine fourteenths of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130347 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, u: 5, k: 2, a: 1, t: 1}. What is prob of picking 1 k and 3 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6142)\/(-8) + (-1419)\/516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46953353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100210120120010 (base 3) to base 9.\nAnswer: 10716503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685474416?\nAnswer: 2, 3, 11, 432749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -42) + -13 - 19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -420152 - -44?\nAnswer: -420105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(1 + -1). Suppose g = -5*c - c + 54. What is the first derivative of 4*t + c - 2*t - 3 + 5 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 4. Let z be 4 - (h + 3 + -3). Solve z*r - 25 = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(112) - (sqrt(112) - 1*sqrt(112))) + sqrt(112))*6)\/(2*sqrt(72)))\/((sqrt(2401) + sqrt(2401)*-1 + sqrt(2401))\/(sqrt(175)*-1)).\nAnswer: -10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(243) + 1 - ((-1 + sqrt(243))**2 + 4)) + -5 + 1 + sqrt(300) + (sqrt(12)\/sqrt(4) + -2)**2 + -4.\nAnswer: -242 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*m*s - m - 184*s with respect to m.\nAnswer: -73*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16\/55 + 1\/11. Let o(y) = -18*y. Let h be o(1). Let f be 4\/h*(-6)\/4. Which is the smallest value? (a) -0.5 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 115 = 3*j + 470, 5*j = -5. Let q(s) = 177*s + 0 + 2*s**3 - d*s + 0 - 2*s**2. Calculate q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 + 24*p)*(6*p - 5 + 2 + 2)*(2 - 2*p - 2).\nAnswer: -288*p**3 + 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39020696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124865, 249707, 374549, 499391, 624233, 749075?\n\"Answer: 124842*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 l when four letters picked without replacement from lnlnl?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(70)\/(sqrt(20)\/sqrt(2)))*2.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 627*x - 2*x**2 - 614*x + 3*x**2 + 2*x**2. Let u(j) = -j. What is o(u(d))?\nAnswer: 3*d**2 - 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -3 (b) 106 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(f - 47 + 47)*(7*f - 7*f + 7*f + (2 - f - 2)*(0 + 1 - 3) + f - 2*f + 2*f + 1 - 1 + 2*f) to t*f + n*f**2 + d and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112726, -112587, -112440, -112279, -112098?\nAnswer: -111891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*f + 4*y, -7 = -4*f - 3*y + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = -4*r. Let o(a) = a**2 + 1. Let q(y) = -4*y**2 - 5. Let d(k) = r*q(k) + 5*o(k). Let s(j) = -7*j**2. What is -6*d(c) - s(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/20 - n**4\/2 + 3*n**3\/2 + 5*n**2 - n. Let a = 842 - 849. Calculate r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q - 45*q = -71*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g - 0. Suppose g*f = 4*f + 5. Solve a + 3 = -5*m - 1, f*m + 5*a = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 n when three letters picked without replacement from {h: 2, n: 1, v: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4637\/37 + 383809\/888. Let q = -556 + g. Calculate the common denominator of ((-35)\/14 - -1) + 273\/(-7) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 18763 - 61152 = -23035. Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010011 + 10101?\nAnswer: 111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*p + 1569, -t - 2*p - 2*p = -509. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -50, -101, -192, -335, -542, -825, -1196?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + 11 + 3894 + -6?\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5 - 8 - 7*k + 14. Calculate u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:52 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 7 + 3. Let t(z) = z**3 - 4*z**2 + z - 1. Let d be t(w). Sort -2, d, 4 in ascending order.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -188, -228, -252, -254, -228, -168?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*4*(-75)\/(-42) + (-13)\/91\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5896 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2344 - 2346 = 3*z, 0 = -9*c - 11*c - 4*z - z + 70 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/37 in -0.5, -12, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 5*h - 1. Let b be k(4). Let o = -0.035 - -0.325. Let g = o - -0.01. Sort 2\/5, g, b in decreasing order.\nAnswer: b, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -111747*n**3 - 19229169*n**2 - 817529496*n + 836870412 = 0?\nAnswer: -16702\/193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38207135 divided by 7641427\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 15. Let h be 6*4 + 0 + 1. Suppose -g*n = -h - 135. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 631 = -2911. Let l = -111 - i. Suppose 5*p = 2*s + 83, -16 + 81 = 4*p - 3*s. Calculate the remainder when p is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 23184216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/9)*m**1*m\/(m**(6\/11)*m)*m*m\/(m\/((m\/(m\/m**(-3\/10)))\/m*m)*m) assuming m is positive.\nAnswer: m**(-287\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 1007?\nAnswer: 100c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -13. Let j be 6*(116 + 0)\/r. Suppose -69*a = -73*a + j. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*f - 6, 0*r - 2*r - 29 = 3*f. Let x(s) = 2*s**3 + 2*s**2 - 2*s + 3. Let n be x(2). Let a = n + f. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.406 - -2\nAnswer: -7.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 19. Let t = 43 + -25. Suppose 10 = o - t. What is the remainder when o is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -7*j + 509644, -3*h - 2*j = -217616 - 88177. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 32*b**2 + 34*b - 22. Let c be o(33). Let q(s) = 12*s - 4*s - c*s - 4*s. Let z(u) = -26*u. Determine q(z(k)).\nAnswer: 182*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 489 = 465. Let x(f) = f**3 + 4*f**2 - 6*f. Let q be x(-5). Solve a + o*a = -q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74986*k**5 + 114*k**3 + 15116925*k**2 wrt k.\nAnswer: 4499160*k**2 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94873 + -46646. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7685, -0.2, 0, 3\/7.\nAnswer: -7685, -0.2, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909*x + 300*x = -296*x - 299*x + 350 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 1. Let d be g(2). Suppose -3*c - 5*s + 11 = 0, 3*c - 3*s + 10 + 11 = 0. Let x = c + d. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*q + 9 - 1, 2*q - 2*r = -4. Let j be 40\/(-22) - (-4)\/q. What is the smallest value in 1, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:55 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 7*h**2 - 4*h - 7. Let a(c) = -4*c**3 + 12*c**2 + 5*c + 7. What is 2*a(t) + 3*l(t)?\nAnswer: t**3 + 3*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a + 32*a - 41*a.\nAnswer: -82*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 83. Calculate the least common multiple of r(23) and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 19. Let u be 0 + (-4)\/(-8) + n\/4. Suppose o + u*o - 60 = 2*v, -4*v + 62 = 5*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.03\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.25, -0.1, -0.2, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828*h + 823*h + 30 = 0. Solve -d - h = -2*j, 4*j + 4*d - 3*d = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-2)\/(-9)). Suppose -5*x + 22 = -3*w, -w + 0*w = -x + 6. Let t = b - x. Is t at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by -18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25\/3 + (-8)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 33, 68, 125, 210, 329, 488, 693?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -475349*w**3 + 196*w**2 - 196*w + 196. Let i(f) = -26705*f**3 + 11*f**2 - 11*f + 11. Give 196*i(d) - 11*l(d).\nAnswer: -5341*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1010012020 (base 3) to base 11\nAnswer: -155a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/6213 and -45\/19.\nAnswer: 6213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2 + 5. Let h be g(6). Suppose 4*m - 4*f = 12, 0 = -h*m - 0*m - 3*f + 15. What is the hundreds digit of 2\/(m\/(-882)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m - 10. Let b be p(-3). Suppose -2*g = -4*g + b. Calculate the remainder when 47 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135.551 and -0.9.\nAnswer: -121.9959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 124*u**3 - 74*u**2 + 4756*u - 10416 = 0. Calculate u.\nAnswer: -7, 3, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84001 and 1503.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*t + 976*t = 6504 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.722 + -4.07. Let t = y - -47. What is t rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 51*b - 93. Let r be s(8). Let y = r - 388. Is -73 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 4*j)*(-2 + 1 + 4) + 2 - j - 2.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 450318\/(2 + 4) + -5. Suppose 39*b - p = 15*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Let v be (4\/5)\/(9\/(-5)). What is the biggest value in v, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694301.1 millilitres in litres?\nAnswer: 694.3011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-176) - (-6)\/(-11)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 72042, 1\/13, -2 in decreasing order.\nAnswer: 72042, 4, 1\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12762620 - 12762620 - 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 13*t**2 - 6*t + 7. Calculate l(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 25565580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/728 and -61\/12224160.\nAnswer: 85569120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23701\/17524 - -121\/337. Let j = 63247\/10 + -6333. Calculate the common denominator of f and j.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:50 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 615498 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54948 + 102572. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2 in decreasing order.\nAnswer: 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 6. Let y be v(-7). Let b(g) = 343*g + 2. Let m be b(1). Let x = 5173\/15 - m. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 9890 = 47*c. What is the remainder when c is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -82. What is the highest common divisor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26689, 53569, 80469, 107395, 134353, 161349, 188389, 215479?\n\"Answer: w**3 + 4*w**2 + 26861*w - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 39988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5477109\/2 - 2420076. Let n = l + -5090555\/16. Let d = n - 319. Is d at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 26 = 2*s - 2*w, -590*s - 32*w = -587*s - 684 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/39)\/(((-200)\/(-810))\/(-10))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - b = 5782, -8*m = -9*m - 4*b + 1949. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, -13.\nAnswer: -13, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -35. Let y be (0 + 1)*v\/(-6). Solve -4*a + 9 = 2*o + 1, -2*a + y*o - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14506*t - 923866 - 144654 + 48511 - 459603 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-20))\/(5\/(5\/6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2) - (sqrt(50)*-2 - sqrt(2)))*3)**2*-1.\nAnswer: 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 545 + 2*s + 0*s + 618. Suppose -j = -3*d - 8, -3*j - 2*d + 84 = 5. What is the remainder when u(-8) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {a: 3, m: 3, r: 4, z: 4, v: 2, g: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676 - 678.71. Let f = -3 - t. Round f to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -142, -577, -1296, -2293, -3562, -5097, -6892?\n\"Answer: c**3 - 148*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 4*m**2 + m - 2 + 2*m - 2*m. Determine n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30749 is divided by 3073.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 - 6*c - 6. Let h(i) = -6*i**2 - 5*i - 5. Let u(a) = -5*b(a) + 6*h(a). Let r(g) = 7 - 7 - 8*g. Calculate u(r(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*z = z - 28, 3*g - 8 = -4*z. Suppose n - 4*v = -2*v + 11, 3*v = n - 14. Let w be g + n + 6\/(-2). Solve -x = -3*x + w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.587*-0.4\nAnswer: 0.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -191.48697\nAnswer: -6702.04395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14827?\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 + 46*y**2 + 30*y**2 - 268*y**2 + 192*y**2.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7*s + 255. Suppose -b + 4 = 4*c, 2*b + 3*c - 37 = -3*b. List the prime factors of (s + -1)\/(b + -9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/5*(-70)\/(-50).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 4*d + 1 + 0.\nAnswer: 29*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22\/3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -686 + 708. Is d greater than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {h: 2, m: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 66*a**2 - 87*a**2 + 5*a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 46*d**3 + 9*d**2.\nAnswer: d**2*(d - 9)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.17, -5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010967541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -98. Let h(u) = u**2 + 4*u + 2. Let i be h(0). Solve 24 = i*c + r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300, 568, 800, 978, 1084, 1100?\n\"Answer: -3*j**3 + 289*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -270 and -32804\/121 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-31)*b)**49*b**(-1\/5)\/b**(1\/31))**(-7\/8) assuming b is positive.\nAnswer: b**(1542037\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 17*d + 118. Calculate g(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7268782, -7268726, -7268670, -7268614, -7268558, -7268502?\n\"Answer: 56*c - 7268838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/8 - -253\/40. Which is smaller: 11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let y(s) be the first derivative of -s**3\/3 - 2. Calculate t(y(f)).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8622, -2\/9, -101 in decreasing order.\nAnswer: 0.8622, -2\/9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000000001101 (base 2) in base 16?\nAnswer: -900d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*s**2 - 432*s**2 + 668*s**2 - 2*s - 96 + 96.\nAnswer: 727*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 725.8 - 729.8. Which is the second smallest value? (a) 6\/29 (b) -3 (c) 0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2 - 2*j - 10. Let g(o) = -15*o**2 + 3*o + 15. Let h(l) = 8*f(l) + 5*g(l). What is the units digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 - -4)) + 2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-30 - -50) - -12 - (0 - -8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1134.97 + 1125. Let w = -10 - z. Which is the third smallest value? (a) -1 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 30.2. Let b = 4 + s. Let m be ((-18)\/(-45) + 0)*10\/14. Sort 5, b, m.\nAnswer: b, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714764, 1429527, 2144290?\nAnswer: 2859053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1 + d**3 - 6*d**2 + 7*d - 33*d + 17*d. Calculate s(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*f - 13, 5*f - 2 = -m + 5. Suppose -5*v - 4*c - c = -225, 5*v - 209 = -c. Let l = v - -45. What is the remainder when l is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 0 + 4*c**3 - 2*c**3 - 4*c**4 + 43*c**2 + 14 - 15 to s*c**3 + j*c**2 + v*c**4 + i*c + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -9 (b) -1\/9 (c) -14\/5 (d) -2 (e) -3 (f) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*d - 1434, -5*d - 1670 = -m + 720. Let u be 16\/(-950)*d\/(-6). Let z = u + 26\/19. Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:22 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1 + 0 + 1 + 11*g. Let t be b(5). Let f(x) = -14*x - 121. Let u be f(-10). What is the greatest common factor of u and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 25, 6, -17, -44, -75?\n\"Answer: -2*q**2 - 9*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 35625*j**2 - 285240*j + 570640.\nAnswer: 5*(j - 4)**2*(j + 7133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1756034309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -7*r**4\/24 + r**3\/3 - 3*r**2. Let h be x(-2). Suppose -q = 3*q + h. What is the second biggest value in q, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/11 + (-245)\/(-924))\/(3\/(-6)). Which is the smallest value? (a) t (b) 0.1 (c) 1 (d) -0.029 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 x, and 1 r when four letters picked without replacement from {x: 3, l: 2, r: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1054529*o**3 - 591115*o**2.\nAnswer: -6327174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 443324 * 0.79\nAnswer: 350225.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + 0.078. Let p = 0.002 + v. What is the third biggest value in 1\/5, p, 3, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 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: Let a = -79 + 84. Let m(d) = 3*d**3 - 6*d**2 + 10*d - 7. Let s(k) = 2*k**3 - 4*k**2 + 7*k - 5. Determine a*m(c) - 7*s(c).\nAnswer: c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17252065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*x + 105 = 7*w, -37 = -2*w - x. Suppose -2*g + w + 0 = 0. Let v = 6 - 5. Put g, 3, v in descending order.\nAnswer: g, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 190879\/(-16938) - 15\/(0 + -5). Let h be (2 - 0)\/(3764\/(-16)). Let i = h + g. Find the common denominator of -145\/6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 147. Suppose 0 = 6*q - q. Is 49 a factor of h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + 354. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(3 - -1))\/(2\/(-48)). Let p be b\/16*(-8)\/(-6). Solve -p*z - 4*h - 16 = -4*z, 0 = -3*z - 2*h + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38e1 + -1?\nAnswer: -38e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922474 is divided by 219.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = -29*j + 3532. Let o = j - 183. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9109 - 4540.8767?\nAnswer: -4574.7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2356 - -2508. What is the remainder when 7295 is divided by a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-9))\/(((-2570)\/6425)\/((12\/25)\/(-2))).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1)*(6 + -8). Let u be 6 + 7\/((-7)\/3). Let g(y) = 7*y - y + y**u - 3*y**2 - 10*y + 2 + 2. Give g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8222?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38 and -79\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -9\/2 (b) 164 (c) -2\/13 (d) -0.3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 7*(-6195)\/(-1666).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332424\/22004 - (-436)\/(-3)?\nAnswer: -118\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/2))\/q)**(3\/23)\/(q\/q**1)**(18\/7) assuming q is positive.\nAnswer: q**(-3\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573375?\nAnswer: 3, 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1510 - -1512. Determine v so that 0 - 2*v**2 - 2\/3*v - 2\/3*v**4 - h*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -271931.3929 - -271943. Let u = q - 11.6. What is u rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 4*z - 3. Let x be f(-5). Let j be ((-12)\/x)\/((-3)\/(-2)). Sort j, 1, 5 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((912\/8892)\/(12\/39))\/(33\/(-45))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 20, 4*w - 6*w - 3*p - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 bigger than -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48 and 24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*z - 10 = 6, 4*z = -o + 6. Let g = o + 5. Suppose g*p - 5*u - 56 = 0, 0 = 2*p - 0*p + 5*u - 54. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 29 = 4*w, -5*o + w - 49 = 0. Let j(b) = b**3 - 7*b**2 - 2. Let q be j(7). Let x be q\/o - 99\/(-55). Solve 0 = -x*m - 0 - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 - 16*z**3 + 6*z**2 + 64*z - 56 = 0. What is z?\nAnswer: -2, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 82\/9. Do b and -0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106.5 - 0?\nAnswer: -1106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*n**2*u**2*v**2 - 2*b*n**2*u*v + 4902*b*n**2*v**2 + 9*b*n**2 + 31*b*n*u**2*v + 2*b*n - 2*n*v + u**2 wrt v.\nAnswer: -2*b*n**2*u**2 + 9804*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6134356, -12268701, -18403044, -24537385, -30671724, -36806061?\nAnswer: -42940396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, f: 1, u: 1, t: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 1168*w**6\/15 - 3923*w**2\/2 - w + 2718. What is the derivative of r(x) wrt x?\nAnswer: 9344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12886.631347 and 0.38.\nAnswer: 12887.011347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777155 (base 8) in base 6?\nAnswer: 44030141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*i**2 + 2\/7*i - 2\/7*i**3 - 4\/7.\nAnswer: -2*(i - 2)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.748 rounded to two dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x**4 + 2839*x**3 + 10*x - 2839*x**3 wrt x?\nAnswer: 228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12064773 - -71?\nAnswer: -12064702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41098 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovllromrllrrrv. What is prob of picking 1 r, 1 v, and 1 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02869218534 rounded to five dps?\nAnswer: 0.02869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let f(g) be the first derivative of -4*g**2 - 2*g - 2920. Suppose 0 = 3*n + 2*n + 10. What is n*j(z) + f(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -23, 4 in descending order.\nAnswer: 4, -2, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(637) + 0)*4 + sqrt(637)) - ((sqrt(637) - 1*sqrt(637)) + -5 + sqrt(637))*6)**2 + -5)*-1.\nAnswer: -230852 - 7980*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*k = 672*k - 5940 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(567)*-2)**2.\nAnswer: 108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -35915.\nAnswer: 6\/35915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 264351.1 days in nanoseconds?\nAnswer: 22839935040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*j - 328 = 0. Suppose -4*z - j = -5*g, -g - 3 + 9 = -3*z. Let x be (-4)\/6*27\/(-6). Solve -g = 3*f - x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19789 by 664.\nAnswer: 19789\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = -x + 2, 7 = x + 2*q. Calculate the lowest common multiple of 1 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + 2 - (-7 + (-72 - -92))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231 (base 7) in base 3?\nAnswer: -1002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v. Let b = 4 + v. Suppose j = -0*j - 1, -b*z + 3*j + 19 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6669 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 619 or 609?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16)\/(-72) - ((-27696)\/27 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-4 + (-2)\/(-1)). Calculate the common denominator of k\/4 + (-52)\/14 and -67\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*p**2 + 57*p**2 - p**3 - 32*p**2 in the form g*p**3 + y + i*p + x*p**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 634*w**3 - 274778*w**2 + 20625374*w = 0.\nAnswer: -583, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2636*s + 572041. Give t(217).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5035.49 - 5133. Let b = 108 - 10. Let s = b + z. What is s rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, w: 4, c: 1}. What is prob of picking 4 w?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - 489?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.043 (c) 0.1 (d) 0.04 (e) -6\/175 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 2. Let k be s(-5). Suppose -m = -k - 1. Calculate the lowest common multiple of 22 and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-36)*(3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106535 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.23. Let m = -0.099 - -0.041. Let o = u + m. What is o rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 4. Let h(d) = 17*d**2 - 13*d + 10. Let j(k) = -8*k**2 + 6*k - 5. Let x(g) = 6*h(g) + 13*j(g). Let a(c) = -2*c**2 - 4. Determine f*x(t) + 5*a(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240916 divided by -4?\nAnswer: -60229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166424*a**2 - 51*a - 2*a - 166429*a**2 + 46*a + 7*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.5, -0.035, 0.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)\/((s**(1\/5)\/s)\/s)*(s*s\/(s*s**(2\/7)))**3 assuming s is positive.\nAnswer: s**(1483\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/(-20) - 0 - 3. Let j = 515 - 496. Put j, -0.5, x in descending order.\nAnswer: j, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -97487, -97523, -97557, -97589, -97619, -97647?\n\"Answer: a**2 - 39*a - 97449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183880963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6212693 millilitres to litres.\nAnswer: 0.0006212693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 34*w**2 - 28*w + 114. What is u(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k + 68*k to the form n*k + w and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -10. Suppose -3*j = q - 13 - 23, 3*j = 5*q + 36. Let m be j\/18 + (-60)\/9 + 3. What is the closest to 0.03 in m, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 13*j - 75. Let u(a) = 2*a**3 - 3*a**2 - 4*a. Let g(n) = 4*n**3 - 5*n**2 - 7*n - 1. What is j*u(s) + 3*g(s)?\nAnswer: 2*s**3 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 57 - -2) + -22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose 3*h = o - 48, 0 = -4*o - s*h - 69 + 191. Suppose i - 1 = 16. Calculate the remainder when o is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 53*s = -128 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -10*z + 327. What is the lowest common multiple of 2 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/488296 and -95\/65431664.\nAnswer: 65431664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/((s*s**(6\/7)*s)\/s*s)))\/s*s**(-4))\/(s*s*s**0*s*s*s**(-2)))\/((s**(-1)*s**(-3))\/(s**(1\/5)*s**(1\/11))) assuming s is positive.\nAnswer: s**(57\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzzz. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eps when three letters picked without replacement from sepejswsepcs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let a(i) = i**2 + 6*i**3 + 0*i**2 - 7*i**3 - 4 + 1 - 2*i. What is a(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {n: 1, k: 5, f: 1, j: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*m**3 - 143*m**3 - 11 + 4 + 7.\nAnswer: 91*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. Let p = -0.027 + 0.027. What is the nearest to 0.1 in u, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 8031 = 296. Is x < 595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/3 + 104494*g\/3 + 2729749009\/3 = 0.\nAnswer: -52247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**31)**(-30)*((z*(z\/(z\/(z*z**(-2\/15))))\/z)\/z)\/(z**15\/z*z*z*z) assuming z is positive.\nAnswer: z**(13243\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -503924, -503920, -503916, -503912?\n\"Answer: 4*h - 503928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7349*v - 52868 = -964144 for v.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10432 by 32.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 12*k + 2. Determine h(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 2296.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -12 + -5 + -10 - (-2 - 30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11014 = 8*u - 9162. List the prime factors of u.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2057) + (-2 + sqrt(2057) - sqrt(2057)) + sqrt(2057)))**2.\nAnswer: -2200*sqrt(17) + 205800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 64. Suppose 8*d + 123 = v*d. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1858, -1\/3, 0.34?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -2 (c) 4 (d) 1 (e) -0.037 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -140.004836 to the nearest integer.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25454 and -3?\nAnswer: 76362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2757 - -30362\/11. Calculate the common denominator of (17\/17)\/((-18)\/94) and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100011010000100 (base 2) to base 15\nAnswer: -62ae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-259)\/(-21) + 2\/6*-1. Let f be g + ((-18)\/3)\/(-3). Let r be 249*(-10)\/(-105) + 4\/f. Solve -5*s + 4 = r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2338507976 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 11. Let u = q - 129. Solve u*h - 4*v + 5 = -v, -h - 4*v - 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**3\/(m**(2\/11)*m\/(m**0\/m))*(m**3*m**(-3)\/m)**(12\/5) assuming m is positive.\nAnswer: m**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/21*-49*(-19)\/(-399).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 1, u: 3, w: 3, a: 5, h: 1}. What is prob of sequence rr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1750, -1752, -1754, -1756, -1758?\n\"Answer: -2*q - 1748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28273.19 micrograms to grams.\nAnswer: 0.02827319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 7:01 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11857, -24314, -36771, -49228, -61685?\nAnswer: -74142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 60 - 25) + -51?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -20*z + 25*z. What is the second smallest value in 3, z, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -715 - -716. Let v(r) = -2*r**3 - r**2 - 2*r. Let k(n) = n + 1. Give g*v(s) + 2*k(s).\nAnswer: -2*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12311 or -24621\/2?\nAnswer: -24621\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000683 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 35498*i**2 - 35498*i**2.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + -5 + (-11 - -10))*(-1 + -2). Solve 2*p = g*p - 148 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74891, -74892, -74893, -74894, -74895?\n\"Answer: -w - 74890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-4\/15)\/((h**(1\/3)*h)\/h**(2\/7)) assuming h is positive.\nAnswer: h**(-166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 1:06 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -613, -1360, -2085, -2782, -3445?\n\"Answer: l**3 + 5*l**2 - 769*l + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 56*i + 230 = 0 for i.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 345.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838.26 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -0.752\nAnswer: 0.13536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -635\/12. Let r = 31396\/41 - 766. Let z = r + -165\/164. What is the second biggest value in -1\/2, s, 5, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29383.19ml to litres.\nAnswer: 29.38319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + g = -51 + 52, -3*g + 3 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/19244 and -41\/392?\nAnswer: 1885912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*25\/10 + 8\/(-2). Let c(i) = -i - 3. Let s be c(-5). Let o be 0 + s\/(1\/1). Sort k, 4, o in descending order.\nAnswer: 4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.991835l in millilitres?\nAnswer: 2991.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**4 - 9141*w**3 - 596667*w**2 - 418899*w + 168606 = 0. What is w?\nAnswer: -57, -1, 2\/7, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89700 by 3900.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132 is divided by 1059.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*1*6 + sqrt(275))**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + 122355?\nAnswer: 122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/((sqrt(9) - sqrt(441)) + sqrt(9)) - (sqrt(11) + -2*sqrt(396))) + 2*(1*sqrt(3564) + sqrt(3564) + sqrt(44)))**2.\nAnswer: 2071916\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10660001 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 - 108*x + 112. Let a be g(21). Solve -272 = a*y + 22 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315398 = -4836*x - 2655*x - 232901 + 16438 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 4*m - 4. Let h be u(-1). Let d(x) be the first derivative of -1\/5*x**2 - 2\/15*x**3 + 1\/10*x**h + 0*x + 2\/25*x**5 + 3. What is p in d(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 900.6264ml?\nAnswer: 0.9006264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00264152 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 2*j**3\/3 - 9*j**2\/2 + 5*j. What is the first derivative of n(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + 0. Let z = u + -0.44. Let w = -473\/707 - -5\/2121. What is the closest to w in -1\/3, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 41*i + 19. Give v(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3102*i**2*l + 1459*i**2 - 3678666*l wrt i?\nAnswer: 6204*i*l + 2918*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -6*f**7\/7 + 143*f**6\/10 - 309*f**5\/20 - 219*f**4\/4 + 235*f**3\/2 - 66*f**2 - 2105*f. Solve k(j) = 0.\nAnswer: -4\/3, 1\/4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 6*o - 348. Suppose -o*g = -2*q + 236, -8*q = -3*q - 3*g - 597. What is the greatest common divisor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 10*c + 9. Let m be u(-9). Suppose m = 3*t - 0*t - 1896. Let s be (-1)\/5 + t\/10. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 4*q - 2. Give v(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -73*j - 13. Let p(w) = 144*w + 27. Let i(a) = 4*p(a) + 9*r(a). Let t(f) = -44*f - 5. Let c(d) = 3*i(d) - 5*t(d). Let z(k) = -k**2. Determine c(z(g)).\nAnswer: 23*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 24138.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.703866 hours to nanoseconds.\nAnswer: 27733917600000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 17644 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13))**(-5) assuming r is positive.\nAnswer: r**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o + 52. Let n be y(-7). What is the third derivative of -7*f**n - 8*f**3 + 2*f**2 - 34*f**2 + 3*f**3 wrt f?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*s**4 + 2627*s**3\/4 + 659*s**2\/2 + 3*s\/4 = 0 for s.\nAnswer: -1, -3\/1312, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272898*h - 462121*h + 1071949*h - 17879*h.\nAnswer: 1864847*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/9, 0.18, 139\/20, 4, -1, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 34*z**2 - 8.\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 95 = 95*s - 98*s, -3*s + 190 - 55 = 6*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0 - 5)*-29. Let t = 3510 + -2646. Suppose -t = -6*g - q. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1 - 12*m**2 - 32*m**2 + 18*m**2 + 2*m. Let x be 80\/(-200) + 7\/5. What is h(x)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -2\/15 (c) -0.04 (d) 1\/635\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 9*f = -38. Let r(g) = g**2 + 15*g - 43. Calculate the lowest common multiple of (9\/(-6))\/((-1)\/6) and r(f).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/(-135) + (24\/(-10) - -2). What is the nearest to 1 in -0.03, 4\/5, u?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -122*r**2 - 10*r - 82 - 591*r**2 + 714*r**2. Calculate x(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3 + n - 2)*(-43*n**2 + 6*n**4 + 43*n**2).\nAnswer: -6*n**5 + 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 + (-5)\/((-270)\/84).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 129*a - 2551. Determine s(-104).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 825 = -2*q - q, 0 = 2*r - q - 413. What is the remainder when r is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4248)\/(-2124))\/((4\/46)\/1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/2)))**(3\/8))**(4\/11)*((t\/(t**(2\/7)\/t)*t)**(1\/22))**8 assuming t is positive.\nAnswer: t**(283\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1189742 - 94004. Suppose -3*t - 5*l + 978607 = 0, -4*t - l + h = -209060. Suppose 8473801 + t = -4*w. Round w to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c\/(c**(1\/4)\/c*c))\/c)**(-29)\/(c*c*c\/c**(-1)*c*c*c**1)*(((c*(c*c**(2\/11))\/c)\/c)\/(c**(-2\/29)*c))**30 assuming c is positive.\nAnswer: c**(-139373\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, -75, -306 in decreasing order.\nAnswer: 61, 0, -75, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-98 - (-64 + 12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/18 - 7*i**3\/9 + 12*i. Suppose g(v) = 0. What is v?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Let j(a) = a**2 + 5*a + 4. Let o be j(l). Suppose o = -4*f - 4, -2*t - f - 2*f = -39. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 56 = -4*w - 122 + 61, 45*h = w + 941 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s**2 - 2*s)*(-6*s**3 + 0 + 0)*(2 - 4 + 0 + (-1 + 2 + 0)*(-1 - 3 + 5)).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v. Let r(u) = -2553057*u. Calculate h(r(t)).\nAnswer: 10212228*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957414.\nAnswer: 2, 1478707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + 15*l - 10. Let y be d(4). Suppose 5*j - 6 = -0*j - v, y*v = -8. Solve j - 1 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 369?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*13\/104*(-26)\/1001.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85536)\/1285956 + (-8)\/98?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 + h - 43*h**2 - 1 + 43*h**2 as i*h + j + v*h**2 + a*h**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407525 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54005 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 equal to -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22*s**4 + 29*s**4 - 52*s**4 + s**2 - 2*s**3 to the form t + k*s**4 + f*s + h*s**2 + w*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -13. Suppose i = 2*w + 19. Solve -w*s + 2*j = 0, -j = -s + 3*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*12\/120*-5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 - 4*s - 3*s + 4 + s.\nAnswer: -6*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 32 = 4*p - 37, 0 = 3*x + 4*p - 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 1409, 2746, 4571, 6872, 9637, 12854?\nAnswer: 16511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -727, -5, 2, -11162, 4, 0, -4.\nAnswer: -11162, -727, -5, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + 4 - -1. Let q(t) = 2*t - 4. Let u be q(n). Suppose 29 = 3*w + 3*m + 2*m, -u*w - 3*m + 19 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293674*o - 293674*o + 7*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -13. Let m = -7 - u. What is the smallest value in m, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300363 * 0.3\nAnswer: -90108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:21 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -1 in decreasing order.\nAnswer: -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -739.164 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-58 + 57)\/((-1)\/5) + 1110 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((260\/55)\/((-6)\/(-88)*4))\/(2\/9)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822101572 to the nearest integer?\nAnswer: 28672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043834 to the power of 1\/2, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1372)*5 + -1 + sqrt(1372) + -5)**2.\nAnswer: -504*sqrt(7) + 49401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, a: 7}. Give prob of picking 2 j and 2 a.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -161392, 2, 4, 0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/105)\/(11\/((-3630)\/(-20)))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**8\/6720 + c**7\/1260 + c**6\/360 + c**5\/40 - c**4\/12 - 3*c. Let g(r) be the third derivative of q(r). What is g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1652*i**2 - 1644*i**2 + 5*i + 14*i)*(-13 + 13 + 29*i)*(0 - 3 + 2) - 2*i**3 - 2*i**3 + 5*i**3 to the form k + w*i**2 + a*i + q*i**3 and give q.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*l + 812 = 235*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 17*d**2 - 17*d**2)*(0 + 13 + 4)*(9 + 8 + 3).\nAnswer: -1360*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1412 + 1385 - 407\/(-15). Let i = 6107\/15 + -407. What is f in -2\/15*f**2 + i + 2\/15*f**3 - l*f = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 73 = 67. Suppose -4*d - s + 26 = s, -2*d + a = -s. Solve 0 = 5*g, 7*g - 2*g = d*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + -340242?\nAnswer: -340412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*p - 8*p - 51*p - 73*p + 206*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233342.9 millilitres to litres.\nAnswer: 233.3429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -3241241?\nAnswer: -3241310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17801\/12 - 1479. What is the common denominator of (24\/58)\/((-20)\/(-290)) + (-122)\/24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 2. Suppose -q*g = 3*g + 5. Let v(x) = -x**2 + x + 1. Let y(k) = 2*k**3 + 6*k**2 - 6*k - 6. Calculate g*y(b) - 6*v(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -23 - ((-11 - -26) + 37)\/(-4). Let y(n) = 7*n + 2. Let o(f) = -4*f - 1. Let t(m) = -11*o(m) - 6*y(m). What is t(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - 149. Let m(d) = d**2 - 6*d. What is m(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740, 742, 744, 746, 748, 750?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, m: 1, q: 8, l: 1}. Give prob of sequence nmll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5060, 6937, 8814, 10691, 12568, 14445?\n\"Answer: 1877*n + 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdhkhbqd. Give prob of picking 1 h and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*i - 24, 14*i = 19*i - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -226668493442 take away 13?\nAnswer: -226668493455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1))**(2\/65))**46)**(-2\/27) assuming a is positive.\nAnswer: a**(-368\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5164.431 - -8.431. Let o = q - -5155.99995971. What is o rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2080*u - 2948*u - 2957*u - 5197*u to the form x*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6234?\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*o + 9 - 3 = 0, -5*s - o = -3. Let m be (4*s)\/(-198 - -1). Let x = 15941\/788 - m. What is the common denominator of x and 99\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208240.1*40\nAnswer: -8329604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*l + 115 + 421, m = 2*l - 268. Let i = 134 - l. Factor i - 3\/4*h**3 + 1\/4*h**4 + 3\/4*h - 1\/4*h**2.\nAnswer: h*(h - 3)*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, y: 1, m: 3, j: 2, d: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(2*sqrt(6) + sqrt(6))*-2 + -3 + -1)**2.\nAnswer: 16*sqrt(13)\/3 + 196\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 92873040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*m + 10 = 0, -2*r - 11 = 2*r + m. What are the prime factors of 689\/13*(r + (7 - 2))?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 30 - 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15494 - 13*p**2 - 26*p**2 + p**2 - 4*p**2 + 15493.\nAnswer: -42*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuukkku. What is prob of sequence ku?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*((-6)\/306)\/((-36)\/54).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c - 22 = -76*c - 3*q, 6*c + 8*c = 5*q + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - i = -3*i + 6, -2*x + 3 = i. Suppose -f - f + 24 = x. Is (-111)\/(-4)*f\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11504\/527 + 370\/17. Sort -2\/23, -1\/6, 3, i in increasing order.\nAnswer: -1\/6, -2\/23, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1228\/307)\/((-2)\/((-66)\/3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0640048 to four dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 456?\nAnswer: -13\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2415 and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 9) in base 4?\nAnswer: 30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 15*s + 4*x - 8 = 0, 5*s = -5*x + 25. Solve 2*p = -s*p + 2*w + 2, -5*p + 7 = -w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170 - 1691 = -392*w - 333. Calculate the highest common divisor of w and 22023.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*c**2 + 7653*c - 4107395.\nAnswer: 34*c + 7653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85360\/29 or 2943?\nAnswer: 85360\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*y - 25, -5*y = -1297*q + 1296*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(13) + -3 + 1)*-4)**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -4\/3, -1\/9, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, -1\/9, -3\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/9 - p.\nAnswer: p*(p - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 62654*w - 375920. What is l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3433, 3466, 3499?\n\"Answer: 33*i + 3400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-22)*(-1012)\/552.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 4. Let o be n(-1). Solve -m - 3*i = 2 - 3, 5 = 5*m + o*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 523576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*z**6 + 557*z**4 - 74082*z**2 wrt z?\nAnswer: -2040*z**3 + 13368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)\/h)**9\/(h**(-1\/2))**(-3\/17)*(((h\/h**(-4))\/h)\/(h*h\/h**2*h*h*h))\/(h\/((h\/(h\/h**0))\/h)*(((h\/(h*h**(-2\/5)))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(257\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 48\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:07 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 2 + 1 - 12 + 32. Give r(16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.1 (c) 0.7 (d) -1 (e) -5 (f) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49138174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.673532547 rounded to three decimal places?\nAnswer: 2.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300353*x**2 - 1300353*x**2 + 24*x**3 - 1 + 1.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450 + -442. Solve -4*h - 8 - u = 0, 0 = -3*t + 3*h + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519167 is divided by 167?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133253?\nAnswer: 133253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 5, -1\/3, 0.3, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2248407 and 155187.\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1428 + 1444. What is the remainder when 138 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u + 10. Suppose -5*k = -0*k - 15. Sort k, 4, u in descending order.\nAnswer: 4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23171313 is divided by 753?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -680d - -17?\nAnswer: -67e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 3*s. Let q be v(-4). Suppose -q*r + 253 = -3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - s + 45 = 0, 11*a = 7*a + 4*s + 60. Suppose -3*x = -n - 28, 4*x - 31 = -9*n + 4*n. Calculate the least common multiple of a and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -86, -323, -800, -1601, -2810, -4511, -6788?\nAnswer: -9725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 + 382*u + 303. Let k be b(-47). Let t(v) = 13 - 2*v**2 + 3*v**2 - 2 + 24 - 23*v. What is t(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*t = 3188, -t + 2*t - 3173 = -3*y. Find the common denominator of (2\/(y\/596))\/(2\/4) and 32\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 311*v + 770. Give a(153).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/1025499?\nAnswer: 14\/1025499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.08, 3, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -103644103.\nAnswer: 10364410.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-2)\/(-8)). Suppose t*a = -2*j + 22, 2 = -a + 2*j + 16. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96090, -96084, -96074, -96060, -96042, -96020?\n\"Answer: 2*i**2 - 96092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075629 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.18 (b) 2\/17 (c) 2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 5740608.\nAnswer: 51665472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from {c: 9, i: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - t**3 + t**2 - 3*t**2 + (5*t - t - 2*t)*(-4*t**2 - 6*t**2 - 28*t**2).\nAnswer: -79*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b - 12. Suppose b*g + 23 = t, -g = 3*t - 4 - 0. Let z(m) = -m. Let k be z(0). Solve k = -0*d - 4*d, -t*i - d = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (29 - 23 - (3 - -7)) - 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 100 and 0.1142?\nAnswer: 99.8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*s + 841*a**3 - 3*a**2*s + 2*a**2 - 391*a*s + 1 wrt a?\nAnswer: -6*s + 5046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*-3*(8 - 6). Solve -2*u = -2*t - a, 3*t = -5*u - t + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753332216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 62 = 3*k - 120, 0 = -4*f + 4*k + 152. Let x = f + -14. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.57 - 11. Let i = m - 0.07. Let q(p) = -p**2 + 2*p + 3. Let o be q(4). Sort i, o, 1\/2 in decreasing order.\nAnswer: 1\/2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 314. Let x = z - -278. Calculate the smallest common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 158?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:41 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -918 divided by 27.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -1165*i**7\/21 + 507*i**3\/2 + 2116*i. What is the second derivative of c(k) wrt k?\nAnswer: -46600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 5, 1.\nAnswer: 1, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -136952 * -4\nAnswer: 547808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 12*l - 11. What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -16. Suppose p = -2*n + 5. Calculate the smallest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 74. What is the least common multiple of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/12 + 121*x**2 + 3*x. Let b(c) = -c**2 - 3*c. Calculate 2*b(s) - 3*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588583*w**2 + 588583*w**2 - 2*w**3 - 14*w**3.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 + 39*r**2 + 13*r - 31. Calculate k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8417, -8621, -8841, -9083, -9353, -9657, -10001?\n\"Answer: -m**3 - 2*m**2 - 191*m - 8223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k + 99. Calculate o(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257 - -1067. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(456)\/sqrt(32))\/(-5*(sqrt(3) + sqrt(27))) + 4.\nAnswer: sqrt(19)\/20 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/2 (c) -5 (d) 1592.1 (e) -28 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {i: 6, x: 1, w: 7, e: 3, y: 2}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 15*c + 2. What is the remainder when 3 + 1 + 2 + -2 + -2 is divided by n(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.49*124\nAnswer: -184.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 41*v + 26. Give m(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b**(-1))\/b)))\/(b**(1\/28)\/b) assuming b is positive.\nAnswer: b**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q + 5*d = 562, 5*d - 70 = 3981*q - 3976*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.88 - 1.9. Let t = y + 4.02. Let x = -5 - -2. What is the nearest to 1 in x, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4383a - -5?\nAnswer: -43835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/1238165 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 9*g + 10272 = 0. Let a = g + -388. Solve a = -8*v - 0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5214 = -f. Let i = 1504 - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18302 greater than -274538\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120 (base 6) to base 13.\nAnswer: -13b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((sqrt(180)*-2)\/sqrt(3))\/(sqrt(12) - (sqrt(72) + sqrt(72) + sqrt(72)*1)\/sqrt(6)))**2 - (sqrt(140)*3)\/(-5*sqrt(112))).\nAnswer: 3*sqrt(5)\/10 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y + 3. Let m be 22\/(-33) - (-22)\/6. Suppose -27 = 2*f + 3*s, m*f = -5*s - 16 - 27. Let q(o) = -o**2 - o + 2. Give f*q(p) + 4*k(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 183*t - 1115. Determine a(-85).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d + 10 = 3*v, -5*d = 3*v - 22. Suppose 4*o = -6*t + 2*t + 12, -o - 4*t + 3 = 0. Suppose -4*z = -o*z - 3. Solve 1 + z = -v*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*o = 5, -4 = 2*b + 5*o - 0. Suppose w + 154 = b*w. Suppose -4*m + w - 29 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270069 to the power of 1\/2, to the nearest integer?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.79 times 0.4?\nAnswer: 4.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*z - 27, 30 = -5*z + 5*b + 25. What is the second smallest value in -1642, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92579 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.1809751 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:53 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1003 + -1002.9998694. What is f rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 4*s + 142 = -15*n, -s = -2. Is n > 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469308 by 3171.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((1\/(-5))\/(-1)). Let x = b - -1. Sort 2, 13, x in decreasing order.\nAnswer: 13, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k + 1. Let w be t(2). Let r = -13 - -15. Suppose 0 = 2*u + r*u + x - 35, -w = 3*x. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + h + (6 - 1 + 3)*(-2*h - 2*h + 2*h))*(-h - 2*h + 2*h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 412*y + 51*y**2 - 412*y to b*y**2 + i + v*y and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**6 + 9231*t**5 - 4026*t**2?\nAnswer: -360*t**3 + 553860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2ff (base 16) to base 8\nAnswer: -1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.397 and -8.9.\nAnswer: 3.5333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24529725\/(-636))\/(-425) + (-50)\/(-8)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -334. Is 50 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, -53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323843.91000046 - 323844. Let t = p - -0.09. Round t to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1011*s + 0 + 1 - 1012*s - 2 + 6*s**4 - 2*s**3 to h*s**4 + d*s + a*s**2 + q*s**3 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + 416\/6. Let d be -46 - ((-3)\/9 + 2\/6). Let k = d + g. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d - 15 = 0. Let n(h) = 2*h + h**2 - 2 - d + 2 + 1. Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:33 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3, 31 in decreasing order.\nAnswer: 31, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:52 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)**(12\/11)*i\/(i**(-10)*i)*i**13 assuming i is positive.\nAnswer: i**(277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2338307 and -0.105925015.\nAnswer: 2338306.894074985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -208ab30?\nAnswer: 208ab2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(-109)\/((-249392)\/(-96))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -20. Let n be (-22)\/(-6) - y\/9. Suppose -20 = m + n*m. What is the biggest value in 2, -3, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 163 = 3*y + 296, 3*y = -4*i + 477. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26438)\/(-8) + (-3)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*r - 237*r - 206 = 226 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 5\/2 (b) -1\/4 (c) 4445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72754 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -291. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 63*k + 974. Determine y(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = -1579 + 1726. Solve -u - w = -c, -9 = 2*c - 15*u + 18*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 2659 = 3185. Let s = n - 39. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 2*j - 2*j. Let v be f(0). Let o(y) = -5 + 3 + v*y + 2*y - 6*y. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2462136420 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 153\/5?\nAnswer: 153\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 12*7\/21 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjo when three letters picked without replacement from {o: 1, a: 2, j: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 8, k: 1, t: 1, y: 4}. Give prob of sequence jk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.06, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 7*l + 17. What is s(4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 845.8 greater than 1\/174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 899, 3355, 7447, 13175, 20539, 29539, 40175?\n\"Answer: 818*l**2 + 2*l + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/9)*(u*(u\/(u**(-38)*u))\/u)\/u assuming u is positive.\nAnswer: u**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 423631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 8*z**2 - 7*z + 6. What is m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 8*w**2 - 104*w + 260. Determine s(17).\nAnswer: -4109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-5*(-8048)\/3319800.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 times 0.6?\nAnswer: 61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61458\/17 or -3614?\nAnswer: -61458\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 2, -187 in descending order.\nAnswer: 2, -140, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23133 * 4438\nAnswer: -102664254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-6 + (15 + -7 - 2 - 2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14787 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*k + 9*k**2 - 20*k**2 - 275*k + 10*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.5, 65, 0, -517, 3\/7, 6 in descending order.\nAnswer: 65, 6, 0.5, 3\/7, 0.4, 0, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -234 + 78. Suppose 0 = 3*j - 4*x + i, 6*j + 130 = j + 3*x. Let o = 47 + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1908.6 + -1908.5985893. What is w rounded to 5 decimal places?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:06 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6420087, -6420064, -6420041, -6420018?\nAnswer: -6419995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w + 91*w - w**3 - 179*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1272*c**2 - 24*c - 8 - 7*c + 1267*c**2. Calculate n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**2 + 4*a + 1. What is the remainder when o(-3) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11280853\/30590 + 14025\/38. Let h = k - 2\/115. Let i = 0 + 0.3. Which is the closest to -2? (a) h (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*t - 45*t. Solve 5*s + t + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -0.1, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-2 + 0)*1. Suppose 4*k = -2*r + 14, -2*k + 5*r + 1 = -0. Solve k*u - w = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*w - 62, 8012 - 7877 = 7*k - 3*w for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*(38\/60)\/(-19).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let w(b) = 73*b - 1. Determine w(u(h)).\nAnswer: 73*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d = -5*g + 17, 7 = d + 4*g. Suppose -3*w + 3 = -d*c - 9, -4*c - 2*w + 8 = 0. Put c, -4, -5 in decreasing order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*t. Let r(w) = w**3 + 2*w**2 - 5*w - 3. Calculate the remainder when r(-3) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/3 of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 195, 3, 0 in decreasing order.\nAnswer: 195, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -169785*k**4 + 118956 with respect to k.\nAnswer: -679140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(325) + -5)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 61*x + 884. Give t(-20).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d. Let o be j(3). Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -6, -12, 0.2205, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9242532969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-70)\/4)\/(-7) + 2696\/(-944). Let c = -30\/413 + x. What is the second biggest value in c, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416017831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 500.9458 + -501. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 313 + -340.98. Let z = 28 + m. Let y = -81\/7 - -345\/28. Which is the nearest to z? (a) y (b) 0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = -99902 + 99542 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than -26017?\nAnswer: -26015.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a factor of 9660674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219571173.\nAnswer: 1693, 720361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = 376*g - 381*g, -5*g - z = z - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*v - 1 - 0, 2*f - 18 = 2*v. Let w(y) = -2*y**2 + 55*y + 13. Let u be w(19). Suppose -6*p + f*p + u = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4956\/11, 4, -3 in descending order.\nAnswer: 4, -3, -4956\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 - (2 - 1). Let l be 1\/(-1) - (a + -3). Solve i + 4*i**2 + l*i - i + 2*i**3 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x**2 - 2*x**2 + 3 - 3 + (-3 - 2*x + 3)*(-2 + 2*x + 2) - 2*x**2 + 2 - 2)*(17 - 17 - 12*x)*(2*x + 4*x - 3*x).\nAnswer: 252*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose -c + m = 2. Let s = c - -2. Let l(q) = -q**2 - q - 4. Calculate l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b + 4. Let x be s(5). Let c be -1 - (x - 0)*8227. What is the tens digit of c\/63 + 6\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445547 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 166850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -75. Put y, 2, 3, 0 in decreasing order.\nAnswer: y, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/55 - ((-1836)\/(-352) - 5). Let u be 4\/2 - 44\/21. Which is the closest to -3\/4? (a) d (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*y - 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4321 - 0.07.\nAnswer: 4320.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Let h = -3 + 5. Let p = -2.06575 + 0.06575. Which is the nearest to z? (a) 5 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 8. What is m(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.1 - 55.8. Let z = -10.7 + r. Let o = z - -9.7. Round o to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000 - 111001?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36299.\nAnswer: 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151402.\nAnswer: 2, 17, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-51353)\/(-15130) + 60?\nAnswer: 23\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 4*b**2 + 3*b**2)*(-5*b**2 + 5*b**2 + 2*b**3) + b**2 - b**2 - b**5 - b**3 + 3*b**5 + b**3 + (3*b**2 - b**2 + 0*b**2)*(0*b**3 + 3*b**3 - 2*b**3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 196 = -4*y, -58*a + 62*a - 380 = 2*y. What is the remainder when a is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 0*k**2 + 4*k**2 - 7 + 2*k**2 + 3*k. Let g be p(-7). Suppose -g + 1 = -2*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - ((-54 - 33) + 56).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226044883 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*f - 23. Let g = 13 + f. Suppose g*q = q + 78. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 4*w**2 - w + 2. Let k be l(-2). Suppose 6*t - k*t = 4. Suppose 5*z - 4*q = 59 + t, 0 = -5*q - 20. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 11. Let q = -5.5 - t. Which is the second biggest value? (a) 0.1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0*p**2 - 1\/6*p**4 - 56*p + 0 + 1\/5*p**5 - 17\/2*p**3. Find the second derivative of t(h) wrt h.\nAnswer: 24*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/7 - 237104216*i\/7 + 237104212\/7.\nAnswer: 4*(i - 59276053)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 + s**2)*(3*s + 2*s - s) - 27*s**3 + 2*s**3 - s**3.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6 and 18.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*v - 7, -2*c + v = 3*c + 3. Let k be (-139)\/(-7) - 29\/(-203). Let y be c*1*(5 - k). Solve h + 4*i - 27 = -4*h, 0 = h + 4*i - y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/5)\/((-1)\/(-12)*(-3168)\/792)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 4*p**2 - 2*p**2)*(-55 + 16 + 19 + 17) to w*p + t*p**2 + y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/20))\/(((w**(23\/2)*w)\/w)\/w))**49)**49 assuming w is positive.\nAnswer: w**(-453789\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -y - 103. Suppose 1121 = 11*s + y. Calculate the highest common divisor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -15 (c) -0.1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:39 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 1. Let c = 51 + -42. Suppose 2*o = -3*g - c, -6 = 5*o + 4*g + 13. Let n(p) = 5*p**2 + p - 1. What is o*z(t) - n(t)?\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*z - 5. What is the first derivative of 5*s - 5*s - 140 + 117 - z*s**4 wrt s?\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114896 (base 11) to base 14\nAnswer: -4a505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -11*a**3\/3 + 76*a**2 - 3*a - 5. Does 70 divide y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(9\/(-24)). Let q be 66\/(-9)*(-30)\/x. Suppose 4*g + 5*n + 22 - q = 0, 0 = -3*g + 5*n + 51. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133118\/87 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -20. Let n(w) = -w**3 + w**2 + 2*w - 10. Let b be n(5). Let s = b + 102. Solve 15 = s*m + p + 4*p, p + r = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2023503144 + -3?\nAnswer: 2023503141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*h**3 + 1269*h**3 - 655*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 - 6*p**2 - 51*p\/5 - 24\/5.\nAnswer: -3*(p + 1)**2*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 320\/5 + (48 - 28). Solve -117*p + 96*p - u = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-1152)\/30)\/(-6))\/(2\/(-25)). Let l be r\/(-36) - (-1 + 11\/9). Solve -x = 0, 0*z + 3*x = l*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)*c)\/c**11)**(-1\/2) assuming c is positive.\nAnswer: c**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 greater than 554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - 172\/112*-1. Let m = z - 7\/4. Which is the smallest value? (a) 5 (b) -0.1 (c) -3\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from {j: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514103?\nAnswer: 514103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4893 and 571782.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353889?\nAnswer: 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48754462 - -6?\nAnswer: 48754468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 8*r. Let c be n(-1). What is the greatest common divisor of c and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/49457? (a) 1 (b) 0 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 95*u**2 - 1904*u + 3. Determine d(-112).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -49*v. Let s(l) = 106*l**2. Calculate d(s(h)).\nAnswer: -5194*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 42\/8. Let u = -5 - t. Find the first derivative of -2 + 2*d + u*d + 2 + 2 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 6*l - 7. Let u be c(-3). Let a(o) = -2*o + 4*o**u - 33 + 4*o**2 + 28 + 7*o. Let q(b) = 7*b**2 + 4*b - 4. Give -4*a(x) + 5*q(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 26 = 2*r, -80318*b + 80307*b - 4*r + 59 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 183?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 623493?\nAnswer: -623490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 1, 131, 11, 3, -4, 8 in increasing order.\nAnswer: -4, 1, 3, 8, 11, 122, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210437 * -0.05.\nAnswer: 10521.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13776473 and 23584.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14709681?\nAnswer: 3, 7, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(-6*(sqrt(343) - (3 + sqrt(343) + sqrt(343) - sqrt(343)))*3 - -2*(-4*sqrt(343) + sqrt(343) + 5)).\nAnswer: -960 + 630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13033 (base 4) to base 10\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43998 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 6, -1, 15 in decreasing order.\nAnswer: 15, 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 11:25 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*u - 19. Let p be (96\/(-18)*50)\/(u\/4290). Round p to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25325964 is divided by 8441984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91 + 2 - 182 - 48 - 72)*(-4*t**4 - 20 + 20) to q*t + y*t**2 + k*t**3 + x + g*t**4 and give g.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**9\/v*v*v)\/v**34)\/((v\/(v**(-32)*v))\/v*v*v*v*v\/v**(2\/55)) assuming v is positive.\nAnswer: v**(-3188\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*i - 28, -i - 2*i - 8 = p. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8997.\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*r**4 + 132*r**4 - r**2 + 64*r + 2*r**2 - 62*r - 7*r**3 as p*r + d*r**2 + h + g*r**4 + o*r**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 8405.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95\/20 + (-3)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 24. Let f be n(-11). Let i = 28 - 74. Is f greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x + 3. Does 17 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834496 divided by 1534?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 15*y + 1. Let w(s) = -330*s. Calculate w(i(v)).\nAnswer: -4950*v - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 889, -480.4 in decreasing order.\nAnswer: 889, -42, -480.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 117\/2. Let z be -4 + (-1 - 0) - -4. What is the second smallest value in m, z, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47\/(-9) + (-100)\/36 + 3. Let p(n) = 2*n**2 + 3*n + 5. Let r be p(f). Calculate the highest common factor of r and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164134 (base 9) in base 6?\nAnswer: 2101351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -303*t - 1336 - 785 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2483640 (base 10) to base 16\nAnswer: -25e5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1463 - 1459. What is the remainder when 24 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 834730810?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27c - -e9f?\nAnswer: c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sseeeseeeee. What is prob of picking 1 e and 2 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(192) + (sqrt(192) - (sqrt(192) + (2*sqrt(192)*-3 - sqrt(192)))))\/(sqrt(196) - -2*sqrt(196)) + -4)**2.\nAnswer: 64*sqrt(3)\/21 + 1171\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6\/12869, -16 in descending order.\nAnswer: -6\/12869, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*5*4*(sqrt(325)*-6 - sqrt(325)) + 5.\nAnswer: 9 + 2100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i**2 + 3\/4*i + 0 - 3\/4*i**3 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 11724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:08 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f - 2. Let k be j(-1). Let a be (1\/(-2) + -1)*108\/k. What is a rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 + -121. Calculate the highest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 727*n + 5 - 2997*n.\nAnswer: -3724*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38721087 and 13005.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z**2 + 13*z - 19. Let s(t) = -7*t**2 + 7*t - 10. Let d(l) = -6*p(l) + 11*s(l). Suppose -4*r - 286 = -6*r. Let f be 455\/r - 2\/11. What is d(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 13*h + 45. Suppose -h*s = 2*i - 840, -3*i = s - 101 - 179. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -22*j**2 - 151*j + 1007. What is p(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218\/51 + -412\/51. Let h be (-3)\/(2\/4*18). Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 - 3) + (-26)\/3. What is the third smallest value in 2, h, 0.1, -8, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20110233 (base 4) to base 14\nAnswer: c5d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1584) + -1) - (-2 + (1*sqrt(1584) - sqrt(1584))))*5)**2*-2.\nAnswer: -714050 + 18000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87102 + -57875. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.002 + 4.998. What is the third biggest value in -3, o, -5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 + -0.717. Let n = x + -0.032. What is n rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 16986 - 20293 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*q**2 - 35*q**2 - 25*q**2 - 6*q + 2*q**3 - 10*q**4 wrt q?\nAnswer: -240*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:04 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 2\/3 (c) -0.157 (d) -5\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 15 (b) -1 (c) 2 (d) 130 (e) -2 (f) 3 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002334 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.03544 centimeters to meters.\nAnswer: 0.1703544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -703.6 + 606. Let k = 98 + l. Which is the smallest value? (a) -2\/37 (b) 2\/11 (c) 5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 4760316\nAnswer: -14280948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -871 (base 11) to base 5\nAnswer: -13141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23051\/925 - 25) + (-214)\/(-175).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 2*q, -9 = -j - 0*j + 5*q. Solve 4*f = -6*f + j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 244*p + 72. List the prime factors of x(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527349.\nAnswer: 1527349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 16) to base 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 0*k**4 + 3 + 5\/3*k**3 + 0*k**5 + 1\/180*k**6 + 0*k**2 + 0*k. Let d(u) be the third derivative of x(u). Factor d(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1482\/152*4*(-9)\/(-135)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.027 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m + 3. Let o be w(-8). Let b(q) = -q**3 - 5*q**2 + q - 5. Give b(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16\/4*(-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 87*q - 88*q + 1684*q**2.\nAnswer: 1684*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4718991, 4718992, 4718993?\nAnswer: 4718994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + 3. Let d = g - -0.44. Let h = 0.96 + d. What is the third smallest value in 2\/5, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55174 - -14a?\nAnswer: 55313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413416 - -2067084\/5. Factor d*b + 2\/15*b**2 + 2\/3.\nAnswer: 2*(b + 1)*(b + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/8)*h**(5\/6) assuming h is positive.\nAnswer: h**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 4*t + 37, 2*q - 20 = -t. What is the highest common factor of 180 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 9. Suppose -12 - 9 = -3*k - 2*o, 5*k = -s*o + 31. Solve -k*b + 11 = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuute?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -183. Solve 4*p - 3*h = 0, h - z = -4*p + 2*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 2*l, -22*l + 26*l = 3*n + 16. Let h(m) be the second derivative of n*m**3 + 1\/2*m**2 - m + 1\/12*m**4 + 0. Give h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -8c3d?\nAnswer: 8c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2)\/(-4))*(-14336)\/7168.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406700 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: Let a(b) = -b**2 - 4*b + 15. Let n be a(-6). Suppose -20*r = -14350 + 14270. Solve -r*h - 1 = u - n, -u + 1 = 3*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from hhahhtttam.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(4\/(-3)) + 8. Suppose i + n*d = 27, -i + 83 = -4*d + 11. Suppose -2 = -2*m + i. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 11. Let f be 0\/(-2)*1\/(-2). Let h = 0 - -1. Sort h, i, f.\nAnswer: f, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 + 26*f**2 + 192*f + 288 = 0. What is f?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 + 759838*b\/15 + 455892.\nAnswer: 2*(b + 9)*(b + 379910)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1405327 or -1405315?\nAnswer: -1405327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*m + 12, -4*m + 4 + 0 = -3*s. Let d be 10\/m + 6\/(-12). Suppose 0 = d*f - f - 327. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5 - 41) + -185 + 178?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9848084 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*p + 3, -3*p = -4*l + 5*l + 18. Let n be (1\/(-14))\/(1\/4). Which is the closest to n? (a) 1\/4 (b) -19 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + u**2 + 1 - 1.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ca3 (base 14) in base 16?\nAnswer: -349f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/6*(-18)\/(-6). Let a = b - 23. Is (-1)\/((-2)\/a) - -29 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/4 - a**2 - 129*a. Give x(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.98 - 1.18. Which is the third biggest value? (a) -0.3 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -675451219*w**5 + 7993*w**2 + 53027?\nAnswer: -40527073140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 9 = 0, -3*g + 379 = s + 375 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1180256*v + 413947?\nAnswer: 1180256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*n - c - 31, -2*c + 42 = -4*n. Let u = n + 20. Is 2586\/u - (-4)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 8*f - 7. Let y be d(-8). Let a = y + 12. Let c(w) = w - 1. Let j be c(a). Solve 17 + 3 = -j*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 33. Let x be r(-5). List the prime factors of ((-11)\/4)\/(x\/(-14040)).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1.356, 0.1, -7\/3.\nAnswer: -7\/3, -1\/2, 0.1, 1.356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1, -10, -3, 11.\nAnswer: -10, -3, -0.1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/63624 and -131\/2640.\nAnswer: 636240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 25087*z\/3 - 4001120\/3.\nAnswer: -(z - 50014)*(z - 160)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97\/3 - 61\/2. Let k = 3965\/462 - 788\/77. Let r = w + k. What is the second smallest value in r, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-7)\/(-14))*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 1\/(-3 + (-16)\/(-6)). Suppose 0*s - 4*s = 0. Suppose s = -g*w - w + 1630. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 1, u: 5, s: 4, x: 5}. What is prob of sequence sps?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 32. Calculate q(15).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {u: 3, y: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -521.00000111 - -521. Round o to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -111 (b) -4 (c) 302 (d) -95 (e) 0.2 (f) -0.2 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(520\/1072))\/((-40)\/(-20))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 1130 = 2*h. What is the common denominator of 1\/(-4 - (-2168)\/h) and 1\/4*38\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143698 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -466 in 1\/221, -4\/13, -2, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:01 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03874 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7821*b**2*c - 66*b*c - b - 11522568*c with respect to b.\nAnswer: 15642*b*c - 66*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53690308 to the nearest integer?\nAnswer: 7327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13382097?\nAnswer: -4\/13382097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2051422 - -5?\nAnswer: 2051431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 14) + 7 + 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iereibiiaiebiberirlr. Give prob of sequence bla.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i*i**32))\/i)**(-1\/44))**(-2\/21) assuming i is positive.\nAnswer: i**(-31\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-4662)\/(-3120)) - -7 - -7\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggc when three letters picked without replacement from cccgcccgc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/12810 and -23\/59780.\nAnswer: 179340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11\/(55\/(-304))*-30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 - 13 - (4 + 0) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let n be (-9 + 424\/48)\/((-4)\/64). Let y(q) be the first derivative of -17 + 0*q + 0*q**2 + n*q**3. What is x(y(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -118504 (base 10) in base 2?\nAnswer: -11100111011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3760*q + 385*q + 1 - 1 + 567*q.\nAnswer: -2808*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0)**2 + sqrt(272) + -4 - -5*(sqrt(272) + -2*sqrt(272)))*6.\nAnswer: -96*sqrt(17) + 1608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -s - 3*s. Let q(j) = 4*j**2 - j - 2. Let c(g) = 13*g**2 - 3*g - 7. Let v = -121 + 121. Suppose v = 26*x - 27*x + 2. Determine s*q(l) + x*c(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -92?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 316468.8 grams in nanograms?\nAnswer: 316468800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00964 to four dps.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52.5 + -73. Let d = k - -2.5. Let v = d + 17.99895. What is v rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1754*t + 113. What are the prime factors of m(-4)?\nAnswer: 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**2 + 5*t - 6. Let n(v) = 23*v**2 - 14*v + 17. Suppose 3*f - 7*f + 532 = 0. Suppose f = -5*q - 52. Let k = 54 + q. Calculate k*g(u) + 6*n(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400270, 800944, 1201618, 1602292, 2002966?\nAnswer: 2403640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:22 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 569*w**4\/4 - 56*w**3 - 3553. What is the third derivative of b(u) wrt u?\nAnswer: 3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388335.41us in days?\nAnswer: 0.000016068696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-84)*90*(-4)\/160?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 3. Let i be (-4)\/16 - 45\/(-4). Suppose 5*n + i - 1 = 0. Which is bigger: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751\/73760 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**5 - 1180*s**4 - 584*s**3 + 588*s**2 = 0. What is s?\nAnswer: -147, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 f, and 1 s when four letters picked without replacement from fwjfwkwfksksjjss?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/20*(-25)\/(-15)*-1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 16*t**2 + 4*t**3 + 46*t**2 + 4*t.\nAnswer: 4*t**3 + 30*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*(19*(-19)\/(-4332))\/(1\/(-6)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5361, 40850, 135563, 318600, 619061, 1066046, 1688655, 2515988?\nAnswer: 3577145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i - 93*i**3 - 37 + 94*i**3 + 23*i**2 - 34*i. Is n(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 2. What is the second derivative of -f*m + 4*m**4 - 4*m + 8*m wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.1. Which is the closest to l? (a) 5 (b) 4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 8 + 8. Let c(a) = -a**2 + a + 2. Let z(t) = -t + 1. Let k(p) = c(p) + 2*z(p). Calculate k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 10*m**6\/3 + 8*m**2 + 19. Find the second derivative of c(q) wrt q.\nAnswer: 400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2355 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29934 rounded to 3 decimal places?\nAnswer: 0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = q + 5, 138*q - 140*q - 16 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 minutes after 8:49 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409902.\nAnswer: 2, 3, 53, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-3 - 2 + 2)*(3 + 2 - 4)*(-k - 3 + 3).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 + 9.8. Let b = 0 + 0.5. What is the nearest to -0.2 in b, i, 3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1072)\/5360)\/((-6)\/(-200)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/7)\/m)\/m)\/(m**12*m))**(1\/11) assuming m is positive.\nAnswer: m**(-102\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*n*s**2 - 3*n*s + 848*n with respect to s.\nAnswer: -542*n*s - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20853\/20871115 + -1\/9305. Let t = d - -8962\/11215. Let -2\/5*u + 1\/10*u**3 + 1\/10*u**5 + 2\/5*u**4 + t - u**2 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -71. Let a be i\/72 - (-1258)\/12. Suppose -18 = -2*o - 4*s, -4*s - 13 + 1 = 0. Calculate the highest common factor of o and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.185 in -2\/13, -5, -0.5, 2\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 3}. What is prob of picking 1 q and 2 f?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5*z**2 + 78*i**2*z - i + 17*z**2 wrt i.\nAnswer: 20*i**3*z**2 + 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0684537km in meters?\nAnswer: 68.4537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.490169 - -1.49. What is j rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*h - 821 = -0*h, -2*h + 648 = 4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 + 3*i - 22*i**2 - 3. Let b(d) = -154*d**2 + 22*d. Suppose 57 = -1003*m + 1022*m. Let p(f) = m*b(f) - 22*j(f). Let a(y) = 2*y**2. Calculate a(p(c)).\nAnswer: 968*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 180, 294, 454, 660, 912, 1210?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40024 or 2?\nAnswer: -40024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48475*q**3 + 83369?\nAnswer: 145425*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202074050 divided by 1310.\nAnswer: 154255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 317 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -45*v**3 - 8*v**2 - 17*v + 17. Let w(x) = -11*x**3 - 2*x**2 - 4*x + 4. Let f(p) = 2*s(p) - 9*w(p). Is f(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11368146, -11368150, -11368154, -11368158?\n\"Answer: -4*h - 11368142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.219 - 0.019. Let r be (-17)\/(-20) - (-162)\/(-648). What is the second smallest value in p, -0.2, 0.7, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102132 divided by -212.\nAnswer: -25533\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (20 - (-1377)\/(-36))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 82. Is 28 a factor of (-14)\/42 + (l - (-427)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3068018353 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2611 (base 15) to base 16\nAnswer: 1fb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005899 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - c02?\nAnswer: -bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1660*k**3*t**3 + 2*k**3*t - 4*k**3 + k**2*t**3 + 18*k**2*t**2 + 2314*t**2 wrt k?\nAnswer: 9960*t**3 + 12*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163139 and 120909.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let c(x) = 695*x. Calculate c(z) - 278*m(z).\nAnswer: 417*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -4*f**5\/15 - 11*f**2. Give u(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 172, 259?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 1. Let g(s) = -3*s**2 + s - 7. What is g(z) - 6*k(z)?\nAnswer: -9*z**2 - 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-802)\/(-14) + (8\/14)\/(-2). What is the greatest common divisor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-15) + (-49)\/(-175)*45. Let v(u) = 4*u**3 - 58*u**2 - 11*u. Let d(b) = 2*b**3 - 29*b**2 - 6*b. Calculate r*d(a) - 6*v(a).\nAnswer: -2*a**3 + 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 12 = -4*i, 20 = -5*i - 3*c + 11 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1657 + 14912\/9. Let u = 0.3 - 0.1. Let i = 0.7 - u. Which is the third biggest value? (a) v (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301*i**6 - 262*i**2 wrt i.\nAnswer: -36120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 143697.2g?\nAnswer: 143697200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 5*p - 3*p. Let f(j) be the second derivative of 0*j**2 + 0 + 0*j**3 - j - 1\/3*j**4. Determine k(f(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6122 - 3155?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 9*j**2 - 8*j - 1. Let z be n(7). Let a = 160 + z. Solve -m = a*h - 4*h, 2*m + 3*h = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 - 331. Sort -3, b, 1, -1 in decreasing order.\nAnswer: b, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 8:31 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.74 - 21.54?\nAnswer: -680.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:06 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345 - 105313403?\nAnswer: -105313014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*d + 408 = 0, -3*d + 0*d + 1026 = 5*f. Let o be 29\/9 + (-46)\/f. Solve o*k = -15, -4*z + 3*k + 3 + 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 1774, 4061, 7286, 11449?\nAnswer: 16550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lloo when four letters picked without replacement from {o: 2, p: 2, g: 2, i: 2, l: 3, j: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 168 from -10780802.\nAnswer: -10780970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -1.782711?\nAnswer: 37.436931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 44 - ((30 - 15) + 29).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 3. Suppose -2*j = -0*m + 5*m - 77, -4*m + 88 = -5*j. Suppose -9*v + m*v + 32 = 0. Determine t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (287 - 285) + (-3 - 0 - (-2 + -11))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1689, -4596, -8739, -14124, -20757?\n\"Answer: -c**3 - 612*c**2 - 1064*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/13 + 17250*x**2\/13 + 37152150*x\/13 - 186192250\/13 = 0.\nAnswer: -4315, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/7 - 4206290*w**2\/7 + 8412574*w\/7 - 600898 = 0. Calculate w.\nAnswer: 1, 2103143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**7*y*y**(-5\/6)*y)\/(y*y*y**(-2\/5)*y*y*y**(-8)*y*y))**(-5\/2))**(1\/18) assuming y is positive.\nAnswer: y**(-317\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148022\/23417 or -6?\nAnswer: -148022\/23417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14993 (base 11) in base 14?\nAnswer: 79d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 91072*x + 637602.\nAnswer: -2*(x - 45543)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 23 = 5*w, -5*s - 5074*w = -5079*w - 50 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -24. Let o(d) = -d + 19. Is o(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 14*j**2 - 6. Let u be z(-14). Let d = u + 10. What is the remainder when 14 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*(-3 + sqrt(704)) - sqrt(704)) + -5 + 5)**2.\nAnswer: -96*sqrt(11) + 2826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23615.\nAnswer: 5, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 3575 = 27*z. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((-94 - 8) + 73)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317864905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3397279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:28 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 36*b**2 - b - 1. Let r(t) = 7*t - 29. Let z = -311 + 315. Let x be r(z). Determine d(x).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(112) + 2*sqrt(112) - sqrt(112))*6 + -6*-2*sqrt(112) + (sqrt(112) + sqrt(112) + -2 + 0)*-5)**2.\nAnswer: -88592 - 6272*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 310324830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 40 = -4*s, -4*z + 2*s + 9 = -23. Suppose 2*r + t = -16, -r - 3*t + z = -4*r. List the prime factors of ((-129)\/(-6))\/(r\/(-12)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 352*h = -25315 - 2453. Solve -566 + h = 61*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 = 3*j, 5*w + 5*j + 29 = 34. Factor 0 + 4\/3*g**3 + 4\/3*g**2 + w*g.\nAnswer: 4*g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -383\/18 - -43\/2. Let w = 25 - 20. Which is the second smallest value? (a) w (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 2*y**2 - 3*y - 34. Let g be l(-3). Let s(i) = i - g*i**2 - 8*i + 332 + i - 306. Let a(h) = 7*h**2 + 2*h - 9. Calculate -17*a(b) - 6*s(b).\nAnswer: b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 5*f + 353 = -3*i, 2*i - 5*f = 169. Let w = 68 + -29. Let c = i - w. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o - 1. Let u be m(-1). Let n(a) = -2*a. Let r be n(-2). Find the first derivative of h + r*h - u - 4*h wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322303553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 55. Let z = i + 7. Let t = z + -29.00057. Round t to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.102?\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**2 + 0 - 3\/2*m**3 - 1\/60*m**5 - 13\/24*m**4 + 0*m. Is 12 a factor of h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by -11 + 12 + (-4 - -57).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 24\/(-9))*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521780478 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67959*q*z**4 + 86*q*z**2 - 9*q*z + 2*z**3 - 12 wrt z.\nAnswer: -1631016*q*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.807041nm?\nAnswer: 0.000001807041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.14 - -0.14. Which is the nearest to 0? (a) t (b) 3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -7\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 28. What is the biggest value in 0.5, s, -1\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/67 (b) 3 (c) 2 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 + 2.8. Let s = v + -1.7. Let j = 23.85 + -28.85. Which is the smallest value? (a) j (b) 0 (c) -2\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -26*p. Let o(x) be the third derivative of -x**5\/30 - 3*x**2 - 4. Give f(o(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 11*p - 5. Let w be b(-5). Let v(x) = x**3 - 23*x**2 - 36*x + 43. List the prime factors of v(w).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 321 - 980 - 3*b - 668.\nAnswer: b - 1327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose 11*w - 10*w = 11. Suppose 0 = 5*r - g - 30 + 1, 0 = -3*r - g + w. Sort r, z, 2 in descending order.\nAnswer: r, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1 - (0 + -2). Let i(n) = -1 - 5*n - 4 + 4 + n**t. Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 5) to base 2\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8264 and 19627.\nAnswer: 157016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.141 + 2.779. Let h = -0.08 - c. Let a = -1.2 - -0.2. What is the closest to a in 3, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -1 + (-2 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:00 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221232 - 220300?\nAnswer: 1000332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103021200221 - -133?\nAnswer: -1103021200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13101 + -12010230031?\nAnswer: -12010303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 4. Let s be o(-3). Let p = -62803\/8 - -7847. Calculate the common denominator of (-606)\/(-9)*(-6)\/s and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -20528.\nAnswer: -20528.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24b + a?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110110100100 + 10100011111011?\nAnswer: 10000011010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -26 (b) -5 (c) 0.049 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 316 + 104 = -4*m, 3*m + 2*r = 169. Suppose -38116 = m*i - 59*i. Suppose -18*a + 5*a + i = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*d + 2, s = -5*d + d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1765*d - 1436695. Calculate h(-814).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 678, -0.3, 2, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -89.9.\nAnswer: 89.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 12*c - 1. Let m be r(-6). Suppose 7*b + m = -0*b. Sort 3, -13, 2\/15, b in increasing order.\nAnswer: -13, b, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632477171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {g: 1, u: 1, n: 4, a: 1, k: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/5, 1\/5 in increasing order.\nAnswer: -2\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1980 is divided by 945?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(6\/19)*i*i**12*i\/i**(-2\/29)*i assuming i is positive.\nAnswer: i**(7607\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 216, 858, 1928, 3426?\n\"Answer: 214*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6988904 and 19942.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + p**3\/6 - 15*p**2\/2 + 4*p. Let i be f(11). Let q = i + 237. Calculate the highest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscd when four letters picked without replacement from {c: 5, d: 2, s: 7}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 + 251 = -z. Suppose z*d = 15*d - 81763. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*g**5 - 3*g**3 + 128*g**2 - 2 wrt g?\nAnswer: -4800*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196.1599964137 + 196.16. Round w to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.1, 0, 20.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 47*s**2 - 75*s - 14. List the prime factors of u(-25).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 124, 431, 1028, 2011, 3476, 5519, 8236?\nAnswer: 11723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.3 (b) 0.3 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.25 or -5941?\nAnswer: -5941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2\/7, 3\/10 in increasing order.\nAnswer: -9, 2\/7, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1930)\/(-40) - 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from vyovymy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 20 = 2*s. What is the units digit of (-9)\/(-2)*s\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 904 - 901. Let c(x) = 7*x**3 + x**2 + 12. List the prime factors of c(q).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -13, 6 in ascending order.\nAnswer: -13, 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 - 1464*p - 535824 = 0.\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -4 (c) -0.2 (d) 2 (e) -2.153 (f) -1\/3 (g) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/8))\/(x*x**(2\/3))*(x\/x**(2\/3))\/(x**(-7)*x) assuming x is positive.\nAnswer: x**(133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 1746, 4967, 9756, 16113, 24038?\n\"Answer: 784*w**2 - 699*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0657 - -0.0343. What is the nearest to 0.1 in f, -0.1, 32?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 1, s: 2, c: 1}. What is prob of sequence iti?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623916, -623823, -623730?\nAnswer: -623637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.5 - -4.5. Let h = -12 + 4. Let b be ((-5)\/30)\/(2\/h). What is the nearest to -2\/7 in b, j, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 2*y - 5*y + 2*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -34. Let y = v + -6. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnii when four letters picked without replacement from innnnnniniii.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:42 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10520586 to the nearest integer?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 5*u**2 - u + 4. Determine n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203993035?\nAnswer: 5, 7, 31, 251, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n + 209128 = 108*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > 358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*522*54\/1944?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 41, 99, 209, 389, 657, 1031?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - (-46*2 + -3) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1\/1140*c**6 + 1\/1995*c**7 - 1\/228*c**4 - 1\/570*c**5 + 0*c**3 + 0 + 0*c - 12*c**2. Factor f(p).\nAnswer: 2*p*(p - 1)*(p + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z. Let t(o) = -9 + 3*o**2 + 8 - 1023*o + 1021*o. Let n(d) = -d + 1. Let y be n(-3). Calculate y*u(p) + t(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 47*a - 663. Give n(27).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*f - 5*b, -f + 4 = -633*b + 643*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3301130 - -10?\nAnswer: -3301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 16*j**2 - 5*j - 8. Let z be w(-20). Suppose 0 = -2*p - 7*p + z. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5020479252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0987381 months in centuries?\nAnswer: 0.00008228175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) - (-3)\/2. Suppose -114 = d*k + 2*i, 2*k + i - 32 = -146. Let g be k\/18 - (-2)\/12. Sort -1, 1, g in increasing order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094222.\nAnswer: 2, 17, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-20900)\/(-133) + (-32)\/(-28). Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 42*w**3 - 196*w**2 - 58*w - 9. Let f(h) = -19*h**3 + 97*h**2 + 29*h + 7. Let a(s) = -9*f(s) - 4*y(s). Calculate a(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**13\/b**6*(b\/b**(1\/24))\/b**(13\/5) assuming b is positive.\nAnswer: b**(643\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 take away -184?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12905*i**2 - 266*i - 12903*i**2 + 31*i.\nAnswer: 2*i**2 - 235*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-6))\/((-1)\/(-3)) - (-29555448)\/(-2696472)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*w + 6, -r - 4 = -2*w - 6. Solve -r*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -9. Is (-590)\/(2 + z) - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 - 775*p - 13. Determine o(-32).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313774765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(242))*5.\nAnswer: 9 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 11. Let n = 1204 + -1210. Determine l(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*o - 93*o + 109*o - 150 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 359733, 359734, 359735?\n\"Answer: s + 359732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2218?\nAnswer: -3\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*a + 19*a - 1 - 32*a in the form t*a + u and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*2896\/50680*-395.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = -137 + 247 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let z = -4.9595 - -1.9595. Which is the second biggest value? (a) 2\/11 (b) w (c) z (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 + 3*d - 14. Let y be i(-6). Is y\/(-2) - (-954 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18424 + -10797. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 427, 2, 24, 3 in descending order.\nAnswer: 427, 24, 3, 2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809533247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 60 = 52*f - 7*f. Sort f, -1, 0, 5, 29 in decreasing order.\nAnswer: 29, 5, f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g - 120. Let w(v) = 8*v - 109. Determine 4*s(o) - 5*w(o).\nAnswer: -4*o + 65","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27607 (b) 4\/5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -5, -3, -0.9?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**3 + 9*d**2 + 9*d + 7. Let l(o) = 2*o**3 + 4*o**2 + 4*o + 3. Let k be -2 + 160\/20 - -3. Calculate k*l(g) - 4*i(g).\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*6.2.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 97 = 78. Suppose -i*o = 6*o - 100. Let z(u) = -5*u + 6. Give z(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-29744)*-26*4\/6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, z: 2, e: 3, n: 1, v: 4}. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1348*b + 5304*b - 1356*b - 1349*b - 1253*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -1260, -2728, -5242, -9150?\nAnswer: -14800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059884 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgtng. What is prob of sequence gqtn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -78 + 23. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 19 = -5*b, -6*b - 10 = -5*b + 4*x. Suppose 3*w + 2 + 13 = 5*n, -5*n = -w - 15. Put w, -3, b in ascending order.\nAnswer: -3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p**4 + 6*p**3 - 2*p**2 + 10*p + 2. Let u(q) = -q**4 + q**3 - q. Let v(c) = o(c) - 6*u(c). What is the second derivative of v(z) wrt z?\nAnswer: 228*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214318\/31 greater than or equal to 6914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Suppose -8*k + 2 = -14. Let p be k*2*(-1)\/(-2). Let h(i) = i**2 + 6*i**p - 3*i**2 + 2*i**2. What is d(h(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/14 + -4\/7. Let g = -11.5325 + 9.5325. Let c = 3.6 - 0.6. What is the closest to g in 2, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a - 74. Let k be i(6). What is the fourth smallest value in 1\/5, 7, -0.5, k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/2 - (-808874)\/(-2266572). Let x = f + -2\/7359. Put -0.2, x, 1 in descending order.\nAnswer: 1, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 + 2*k**4\/3 + 7*k**3\/6 + 17*k**2\/2 - 7*k. List the prime factors of y(8).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 7 = 1847. Solve y - 6*y - 4*f = k, f - 15 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37482 or -37483?\nAnswer: -37483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {a: 1, r: 3, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2 - 5*j + 236. Let u(q) = 4*q**2 - 2*q + 118. What is -2*t(x) + 5*u(x)?\nAnswer: 2*x**2 + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1699061225 to the nearest integer?\nAnswer: 41220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - z - 11, i = 5*z - 0*z + 27. What is the smallest common multiple of 24 and i\/(-8) - (-2)\/((-8)\/(-89))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + 6.5. Let r = -4 - z. Let n = -19 - r. Does n = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 20222*z**2 - z - 20224*z**2.\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8307311ug to kilograms.\nAnswer: 0.0000000008307311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + o + l = -8, 4*l = 3*o + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - o**4 - 3*o**2 - 49*o + 49*o in the form v*o**4 + m*o**2 + k*o + h + z*o**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/79, 0.13, 2\/11 in descending order.\nAnswer: 2\/11, 0.13, -2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -9, 5, -1, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) -35 (b) -0.1 (c) -5.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 114100*j - 114098.\nAnswer: -2*(j + 1)*(j + 57049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, l: 4}. Give prob of sequence lll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 0, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 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: 3662 (base 8) to base 3\nAnswer: 2200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*j = -18, -4*d + 38 = j + 17. Let w be 342\/(-8) + 2\/(-8). Let f = -26 - w. Calculate the remainder when f is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1232643*a**2 - 692280*a - 97200 = 0.\nAnswer: -180\/641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 divided by 97?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 643928749 and 1894?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3411 (base 6) to base 11\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/10 - -1\/10. Let j = -11.4039 + 11.2639. Which is the closest to z? (a) 0.1 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.772 and -2618?\nAnswer: 70089.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.8545 millennia to years.\nAnswer: 695854.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18b561 (base 16) in base 9?\nAnswer: 3037228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f - 657. Let p be l(60). Solve 0 = 3*t - 4*i + 1, 5*t - 9 = -i - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -207.\nAnswer: 49\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -15 + 12 + 6 - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5951 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 233086787 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -5*i - g, 43 - 5 = -i - 4*g. Let n be ((-6)\/i)\/(2\/(-4)). Let w be ((-1248)\/(-65))\/(-8)*(-5)\/3. What is the biggest value in w, -0.4, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = 1. Suppose -4*w + 3*m - 22 = -u, w = -4*m - 5. Which is bigger: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 16*m - 5*p - 82, 3*m + 5*p = 62. What is the remainder when 65 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 101062?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135654 - 0?\nAnswer: -135654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 521 - 92*k - 712*k + k**2 + 27*k - 283*k.\nAnswer: k**2 - 1060*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 + -0.4. Let c = -98 - -787\/8. What is the nearest to y in 1\/2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 1793*b**2 + 970*b**2 + 849*b**2.\nAnswer: 26*b**2 - 50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3921 + 3690 = 33*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000241454 to seven decimal places.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (26 - 47)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7370\/(-7638)*19*2\/(-20*1)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/12)\/(1268\/(-112) - -3) and 20\/2097.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 119*1 + (-2 - -2). Let k(w) = 8*w**2 - 174*w - 1593. Let x be k(-7). Calculate the highest common divisor of a and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*x = 3*z - 14, 5*z - 175 = -4*x. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774*l**2 + 571*l**2 + 221*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2595)\/(-3) + -7 - -4. What is v rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 72. What is q(7)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/270 and -16\/15?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-80)*(-8)\/1*45\/18.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -959723.1346555 + 572302.952727. Let d = 387420 + f. Let z = d - -0.182. What is z rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.54, -19093, 0 in increasing order.\nAnswer: -19093, -0.54, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, e: 2, z: 4, t: 1, v: 3, h: 3}. Give prob of picking 1 v and 2 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 13*q + 12. Let g be z(12). Suppose 2*p - 10 = -g*p. Let o be 2\/(-3 - -1) + 17. Solve p*c - 1 + o = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 58*w - 665. Calculate c(9).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose -2*l**5 - l**4 + l**z - l**4 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7813 + bb52?\nAnswer: 433b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 2, h: 2, d: 1, n: 1}. Give prob of picking 1 u, 1 d, and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 12) to base 3\nAnswer: 111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/4))\/m**(-5))\/((m\/(m**4*m*m))\/m)**(-34\/5) assuming m is positive.\nAnswer: m**(-691\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a - 2. Suppose -17 = -2*z + 15. Let t be (-14)\/(-8) + 4\/z. What are the prime factors of c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:44 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112835 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2960 = -605. Is ((-5)\/5)\/(3\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2. Let u be c(2). Suppose 4*p + j - u = -3, 15 = 5*p - 2*j. Let g(r) = -6*r**3 - 5*r + 5. Let t(d) = -d**3 - d + 1. What is p*g(q) - 5*t(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:16 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1, -11.09, -2.3?\nAnswer: -11.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -291, -266, -231, -186?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.2, 2, 4.\nAnswer: -10.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.624135 rounded to three dps?\nAnswer: -4.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 431840185 by -1145.\nAnswer: -377153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1026 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 + n - 1. Let y(r) = 20*r**3 + 4*r**2 - 4*r - 9. Let p(o) = 5*s(o) - y(o). Let a(b) = -7*b**3 - 4*b**2 + 4*b + 2. Give -9*a(k) + 4*p(k).\nAnswer: 3*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 8*g**2 - 9*g + 2. Calculate the smallest common multiple of i(-9) and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/((-27)\/6)*1. Sort -7, y, -2, -5 in descending order.\nAnswer: y, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26005 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-f + 3*f - 4*f + (0*f + f + 0*f)*(0 - 2 + 0))*(23 + 40 + 26)*(-13*f - 33*f + 3*f).\nAnswer: -15308*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 - 8775*u + 52830 = 0 for u.\nAnswer: -1761, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19637*r + 19662*r + 117200. Which is greater: -4690 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3358184 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -235?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 1747540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -1 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.7 (c) 3\/11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 14*k + 5. Let f(d) = -44*d**2 + 5*d + 4. Let a(x) = -197*x**2 + 20*x + 17. Let s(o) = -2*a(o) + 9*f(o). Give -4*r(h) + 11*s(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 185 = 2*t - 35, -2*l = 5*t - 143. What is the remainder when l is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6453 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 - (2 + -8 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 741 and 11856.\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83731 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 7. Suppose 3*x + 0*x + 18 = 0. What is the remainder when k(x) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16234634.\nAnswer: 2, 13, 83, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 3*t**2 - 4*t**2 + 3*t**2 + 2*t**4 to the form d*t**4 + s*t**2 + f*t**3 + c*t + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 45.08.\nAnswer: -45.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 + 35889*j**2 - 312091*j wrt j.\nAnswer: 24*j**2 + 71778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1592, 5868, 12830, 22478, 34812?\nAnswer: 49832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*-5.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - (79 - 18)) + (28 - (1 + -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21662, -43418, -65176, -86936?\n\"Answer: -p**2 - 21753*p + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 230\/3467, -2\/9, -7 in descending order.\nAnswer: 230\/3467, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14270*l**2 + 24873*l**2 + 17892*l**2.\nAnswer: 28495*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 + 2*h**2 + 4*h**2)*(4*h - 3*h - 3*h) + 1193*h**3 - 968*h**2 + 1176*h**3 - 2371*h**3 to the form p*h**3 + o*h**2 + l + n*h and give o.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 14, 11, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + 3*h + 10. Let i be z(5). Suppose -t + 2 = i, -4*t + 7 = -3*p - 1. Solve -4*c + 16 = -4*g - 6*c, 2*g + 5*c = p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6 + 1 - 5*j - 1595*j**2 - 4*j + 1594*j**2. Calculate m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 825, 1289, 1753?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 4, -31, 0 in increasing order.\nAnswer: -31, -27, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**2 + 2*c - 38. Let u(s) = -19*s + 1. Calculate u(x(i)).\nAnswer: 304*i**2 - 38*i + 723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*n = 250*n - 4. Let u(i) = 3*i**2 + 4 - 6*i**2 - 3 + i**3 + i. Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18816610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -11*o + 2. Solve 44*y + 174 = o*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/(-30 - (-20)\/(-5))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(22\/11))\/(25\/1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 5. Let u(i) = 19*i - 9 - 8 - 3. Suppose 78 - 106 = 14*a. Let s(n) = a*u(n) - 9*l(n). Find the first derivative of s(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 117. What is y(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/38)\/(522\/145)*(-63)\/1995*-19?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssitsittstsitttssss. Give prob of picking 3 t.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194527106?\nAnswer: 2, 97263553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 24 - (-159900)\/36 - (-10)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:07 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 0*m + m)*(1 + 1 - 3) + 3 + m - 3)*(-102*m + 102*m - 12*m**2) - 2*m**3 - m**3 + 4*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Which is the nearest to 0? (a) l (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**3 + m**2 - 6*m + 7. What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25180 (base 10) in base 12?\nAnswer: 126a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b - 198*b + 179*b + 9*b. Let d(f) = -2284*f. What is a(d(k))?\nAnswer: 6852*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -25. Put -2, i, 3 in descending order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -115. Solve z - 3*u = 19, -3*z = 2*z + w*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 44378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -286, -992, -2380, -4678, -8114?\nAnswer: -12916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835)*-2)\/(sqrt(180) - (-1*sqrt(180) + sqrt(180))) + (sqrt(42)\/(sqrt(6)*-2) - (sqrt(280)\/sqrt(8))\/sqrt(5)))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(1377) + sqrt(1377).\nAnswer: -4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2365*c = -1973*c - 769, 5*a = -c - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 2. Let l be a(-1). Let t be 3\/(-6) + 123\/l. Suppose 5*i = 2*u - t, 2*u - 20 = -0*i + 2*i. Solve y = -4*y + u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:42 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 2*s - 18, -3*s - 3 = 0. Suppose o = 2*k - 20. Let c = k - 12. Let l(r) = -r + 6. Give l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*6\/(-6) - -5. Suppose -4*l + 4 = -4. Suppose 0 = 5*x - 29 + 4, 0 = s*t - l*x - 2. Solve -t*h - 7 = -19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:09 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -83859153 divided by 3?\nAnswer: -27953051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -32*a**3 + 5*a**2 - 7*a + 14. Let c(w) = -16*w**3 + 3*w**2 - 3*w + 6. Let m(o) = 7*c(o) - 3*u(o). Suppose m(l) = 0. What is l?\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/((-9)\/12). Suppose -4 = s - q. Let p = s - -5. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by (-28 - 0)*((-27)\/6 + 3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17836714 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 + 2 = 2*j, -j - 5*p = 7. What is the tens digit of (-288)\/(-9) + (-2)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 - 60222*u - 302224107 = 0.\nAnswer: -10037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 58250*f + 169653125 = 0. What is f?\nAnswer: -5825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - 210212011000?\nAnswer: -210212002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 2425*f**3.\nAnswer: -2425*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 71 + 904. Solve 0 = -14*k + 39*k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:34 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1499, -1905, -2555, -3425, -4491, -5729?\nAnswer: -7115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*o + 169*o + 452*o - 256*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345624049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/1405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*d + 59. Suppose 48 = -3*k + 165. Let i = k + d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*3\/(-9)*87829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5416 - 5416 + 6994*p + 2792*p - 613*p**3 wrt p.\nAnswer: -3678*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368.4 - 352.4. What is the third smallest value in p, 2\/15, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r. Suppose 0 = b - 200 - 12. Let o(a) = 212 - b - a**2. What is o(x(w))?\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 6. Suppose j + x = -5. Let h be ((-12)\/j)\/(12\/56). Solve -h*q - q = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhzbbza. Give prob of picking 1 z, 1 h, 1 a, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0 + 18*j)*((-1 + 1 + j)*(3 - 2 - 2) - 37*j + 5*j + 75*j) to the form c + r*j**2 + h*j and give h.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149054 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -429, -776, -1113, -1434, -1733, -2004?\n\"Answer: b**3 - b**2 - 351*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (14 - (-1 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -103, -155, -207, -259?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 1, -7, -21, -41?\n\"Answer: -3*s**2 + 7*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - 4. Let x = g - 0.188. What is x rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.5. Let z = 7.4 + -1.4. Which is the third smallest value? (a) i (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.926? (a) -2 (b) 0.1 (c) -0.5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1116*t - 1. Let z be n(1). Suppose 2*u + 3*o = -460 + 1215, -o = 3*u - z. Let g = u + -260. Calculate the highest common factor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.7278157 months?\nAnswer: 0.00227317975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 37 = -v, -71*g + 35*g - 11*v = -32*g + 50 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + 27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -129.5 and -3.5.\nAnswer: 453.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m + 4*r, 2*m - 2*r - 31 = -m. What are the prime factors of (-92)\/(-6)*(m - 10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1743437\/105 - 16604. Calculate the common denominator of 61\/45 and h.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557464853?\nAnswer: 17, 251, 599359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 6*o - 3. Let u be b(-5). Suppose -3*d + 122 = -3*n + 2*n, -4*n = -u*d + 68. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 93*(-4)\/(0 - -12). Let h = a + 35. Solve 2 - h = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 246*a**2 + 5 + 4*a**2 + 4 - 10 as i + h*a + s*a**2 and give s.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15161 + -15157. Sort 5, 2, q, -6, 8 in decreasing order.\nAnswer: 8, 5, q, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 3 + 3 + (6 - 139 + 7)*(1 - 1 + 4*d).\nAnswer: -502*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 + -808026116390.\nAnswer: -808026116390.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 1. Let l(o) = -6 - o**3 + 6. Let g(s) = 8*l(s) - 3*v(s). What is the derivative of g(a) wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 306\/(-7)*37\/(481\/(-546)). Suppose -1840*k + 3456 = -c*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336 + -185. Let o = x - 147. Solve -3*j = -2*l - 2, -2*l + o*l = j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -747849962 - -501359962. Round x to the nearest 1000000.\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 193. Let p = -79.99884 + r. Round p to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -22. Calculate the remainder when 249 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -54301*b**2 + b. Let w(x) = -x + 921. Give w(s(o)).\nAnswer: 54301*o**2 - o + 921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = -7. Is l\/13 - 8856\/(-104) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 0)\/(4\/(-52)). Suppose -5*l + 5*u = 9*u - 3, 12 = 3*l - u. Calculate the lowest common multiple of l and r\/(-14) + (-2)\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 + 90*r. Let q(d) = d**2 - 13*d. Calculate -15*q(k) - 2*z(k).\nAnswer: -3*k**2 + 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 - 34*r - 1. Let w(m) = m + 3. Let b be w(6). Is f(b) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-24)*(0 - 2). Let n = -0.1 + 2.1. Which is the nearest to j? (a) n (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (11 + 143 - 36).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2. Let y(z) = 160*z**2 - 6. Give -6*h(n) - 2*y(n).\nAnswer: -320*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 18 = -40. Solve 4*o - b - 4 = 2*o, -5*o = d*b - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.16 in -3\/8, 3, 14959?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) -2\/4717 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 + 17*r - 1. Determine t(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228833\/7 or -32691?\nAnswer: -228833\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100393 (base 11) to base 10.\nAnswer: -161516","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 1000100100001 (base 2) in base 12?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(162) + 3)**2) + (3*sqrt(2))**2 + 5 - (2*(sqrt(50) - -6*sqrt(50)*5))**2.\nAnswer: -192348 - 53*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*j = 2*i, -3*i + j = -19. Suppose -o = -4*c + 24, i*c - 4*o - 10 - 31 = 0. Let n be 60\/68 - (416\/221 - 2). Sort c, n, -5, 0.\nAnswer: -5, 0, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*d**2 + 8\/5*d - 18.\nAnswer: 2*(d - 5)*(d + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15151 divided by 1.\nAnswer: 15151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-9 - 0))\/2. Let r = 7 + 2. Suppose -r = -2*v - g, v - 9 + 27 = 4*g. Solve x + v = a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 148 - 2 = 4*z, 2*z = 3*k + 520. Let n = k - -110. Let f = -56 - n. Solve 11 = -r - 2*c - 1, 0 = c + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 17*k**2 + 17*k + 18. Let m be d(-16). Let s be 4\/((-8)\/(-10))*1. Solve 4*a + s*i = 3*i, -m*a + 3*i = 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4909326 is divided by 6809?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 17*d = -4480000. What is d rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -55*l - 1. Let p(t) = -22 - 5*t + 23 + 60*t. Let m(x) = 3*p(x) + 4*y(x). Is m(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7327+-203421.3004\nAnswer: -203420.5677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13*d - 15*d + 16)*(d - d - d)*(-2 + 4 - 3).\nAnswer: -2*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(125) + -3 + -3 + 0)**2.\nAnswer: -70*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12233 (base 5) to base 16\nAnswer: -3af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 32 = -17. Calculate the remainder when 55 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.13 + -59.9. What is b rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 - 1\/2*s**4 + s**2 - 5\/6*s**3 + 1\/20*s**5 - 2*s. List the prime factors of d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/7 (b) -5 (c) -296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 3*j**2 + 0*j**2 + (22*j**2 - 77*j**2 + 23*j**2)*(-4 + 1 + 2).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18299733*h - 18299733*h - 25*h**2.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 3*v + 27 = 0, 0 = -5*q - 4*v - 26. Let m = q + 3. Let d be (m - 0)*8\/(-6). Is d bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 - ((0 - 1) + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:00 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g**5 + 43*g**3 - 43*g**3 - 14*g**2 wrt g?\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34253 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 5*u - 34*u**3 + 6*u.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -232 - 19*p**3 + 232 + (-2 + 2 + 2*p)*(p**2 + 2 - 15*p**2 - 4).\nAnswer: -47*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 + 3*h + 9. Suppose 31*n - 22*n - 351 = 0. What is the remainder when q(-7) is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 116878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 914\/3 - 304. Let t(q) = 3*q**2. Let l be t(-1). Suppose -20 = -5*k, 2*k = -l*m + k - 11. Which is the second smallest value? (a) 5 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.009 + -0.109. Which is the nearest to -2\/7? (a) t (b) 2\/21 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Let m = -2 + o. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 13*z**2 - z**2 + (2 - 8 + 2)*(2*z**2 - 4*z**2 + 7*z**2))*(4*z**2 + 0*z**2 - 6*z**2) as m*z**2 + u + p*z**4 + k*z**3 + d*z and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -929\/7. What is the biggest value in -6\/7, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64c77 (base 15) in base 8?\nAnswer: 1161076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - n)*(2 + 0 + 1) + 4*n + 3*n - 6*n + (-3 + 5 - 3)*(2*n - 3 + 3))*(0*n - 2*n**2 + 0*n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -238*p + 1. Let n = 35 + -37. Let j be i(n). Suppose -697 = -2*m + j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541305 (base 7) to base 10.\nAnswer: -94134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5078046, -5078044, -5078042, -5078040, -5078038, -5078036?\n\"Answer: 2*y - 5078048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160276 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/42*16992\/9440.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l - 3*l - 2*l**2 + 2*l**2 + 2*l**2. Let o(s) = 56*s**2 + s - 3. Let v be o(2). Let q(x) = v + x**2 - 223. Calculate q(g(m)).\nAnswer: 4*m**4 - 76*m**3 + 361*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/29 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/33 and -97\/450.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -685 - -2741\/4. Let f(q) be the second derivative of 0*q**3 - r*q**4 + 0*q**5 - 6*q + 0 + 2\/15*q**6 + 0*q**2. Find the third derivative of f(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2311*n = -2303*n + 96 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 48*m - 8730 = 0. Let z(k) = k - 9. Let u be z(12). Suppose 3*j = 4*v + 6*j - 1143, u*v - 3*j - m = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 4*b**3\/3 - 32. Let i(c) = -60*c**2. Calculate i(y(g)).\nAnswer: -960*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 4\/10 + (-112)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 110*q - 33 - 254*q + 111*q. Let o(m) = -m**2 + m + 1. Let k(g) = j(g) + 33*o(g). Let c(t) = -4*t**2. Determine c(k(w)).\nAnswer: -4356*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2253966 and 83\/57720?\nAnswer: 45079320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401204111 + 140?\nAnswer: -401203421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9 = -3*a, 5*a = 4*n - 33 + 1. Calculate the common denominator of 129\/(-6) + a\/6 and -29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/27 of a day?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -6, -5\/3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -12 + 82. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -496, -235, 294, 1181, 2516, 4389, 6890?\nAnswer: 10109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 + 6\/(-15). What is the common denominator of (-11 + -2)*c\/(-36) and -3*(-177)\/96 - 45\/15?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*y - 714*y + 236*y - 2 + 4 + 261*y - 2.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 79 - 5*w**2 + 37.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 3)*(j**4 + j**3 - j**3) - 267*j**2 + 14*j**3 + 270*j**2 - 15*j**3 - j**4.\nAnswer: 2*j**4 - j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 + 124 - 155 - 9*a**2 - a**2 + 0*a**2 as k*a + f*a**2 + x and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/7 - 6794*z + 80777263 = 0. What is z?\nAnswer: 23779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 35*k**2 + 746*k - 43. Give q(14).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430632?\nAnswer: 2, 7, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5145 divided by 16?\nAnswer: -5145\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.314181 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a - 127. Let j be 19\/(5 + 7\/((-28)\/16)). Let w be q(j). Let y(n) = -n**3 + n + 1. Let u(g) = -4*g**3 + 6*g + 4. What is w*y(s) - u(s)?\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-20))\/1*4\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116600 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -580*p**2 - 1427*p**2 + 2*p + 485*p**2 + (2*p**2 + 4*p - 4*p)*(-3 + 0 + 2) + p**2 + 3*p**2 - 6*p**2 - 4 + 4 + p**2.\nAnswer: -1525*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 16*r + 37. Let b be z(-17). Suppose -18*q + b*q + 6 = 0. Sort -4, 41, q.\nAnswer: -4, q, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 3:51 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3 + 540 + 447 - 822 + (-4 + 5 + 1)*(0 - 3 + 2))*(3*j**4 - 6*j**4 + j**4) as s + k*j**3 + m*j**4 + q*j + t*j**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*y + 21, -4*v + 2*y + 13 = 3. Suppose -v*s + 19 = -1. Suppose -364 = 2*g - 5*g + s*b, -3*g + 2*b = -367. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60658 by 4.\nAnswer: -30329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:40 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3052940 + -33?\nAnswer: 3052908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 32*y = 152 - 84 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -18. Let s = -147 - p. Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15748680 and 1080?\nAnswer: 141738120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:27 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13573 - 13058. Calculate the remainder when v is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 15*k = 210. Suppose -75*p = -k*p - 620. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -99*f + 14. Let d(z) = 59*z - 8. Let t(o) = 5*d(o) + 3*h(o). Calculate t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*h = 1048, 1518 + 1691 = 3*o + 2*h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 5. Let x(r) = 2*r**3 - 4*r**2 + 2*r + 1. Let g be (1 + (-3 - 0))\/(-1). Let o be x(g). Solve -i = -o*i - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:55 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -228, -30, -4 in decreasing order.\nAnswer: -4, -30, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/13 (b) 1 (c) 245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 36 + -10 + 3 + 28 + -8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 3. Suppose -23 = -10*s - 63. Sort m, -2\/23, s in descending order.\nAnswer: m, -2\/23, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/3151)\/(84\/14).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 + 40 = 3*m, -h + 2*m = 6. Suppose -65 = -5*n + h*f, -9*f + 6*f = 0. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a. Let b = a - 2. Let n = b + -3. Let t(m) = -m - 4. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhlg when four letters picked without replacement from {l: 4, y: 2, h: 1, g: 1, w: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 43*k**2 + 42*k - 93. Let t be y(-44). Let p be 16\/(-56)*-14 - t. Solve 5*d - 4*v = 3, -5*d - p = 2*v - 0*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/146055 and -1\/9737.\nAnswer: 146055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*j + 249*j - 21 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94276 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 38*l**2. Let z be m(-2). Suppose -z = -3*o + 22. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + a**4 + 4*a**5 + (3 + a**4 - 3)*(-a - a + a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5 - 54216044*n**4\/3 + 18071996*n**3\/3 + 54216048*n**2 - 162648130*n\/3 + 36144028\/3 = 0.\nAnswer: -2, 1\/3, 1, 9036007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/358 + 5189\/716. Find the common denominator of a and -121\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/((1 - 4)\/(-3)). Suppose k = -6*t + 4*t + 50. What is the third derivative of 28*c**3 + 6 - 7 - t*c**2 + 1 wrt c?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 - 3459 - 1727 = 238*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -989\/10 - -99. Let c = -1972.98 + 1973. Is c <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 f when four letters picked without replacement from hfhhhhhhfhfhhfhhhhh.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.8. Let w = n + 0.2. Which is the third smallest value? (a) -0.2 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 3*z**2 - 5*z**2 as p*z**2 + h + s*z and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at most -1048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.292 - 62.\nAnswer: -83.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let l be (-80)\/(-64) + -2*6\/8. What is the closest to l in r, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let y be 4\/(12\/(-15))*u. Solve -y*b + 4*a = -13, 3*a = 4*b + 4*a - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 8 + -5 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*k - 2*w, 17*w - 13*w - 29 = k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1085*q - 2179. What is o(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/21 - (-536)\/402. Which is the third smallest value? (a) d (b) 0 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141.98949 months to decades.\nAnswer: 1.18324575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(3\/7))*v**16 assuming v is positive.\nAnswer: v**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042078772.\nAnswer: 2, 7, 37217099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 317, 0 in descending order.\nAnswer: 317, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9522.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(0 + -1*5*(sqrt(684) + 0 + -4)*6))**2.\nAnswer: -388800*sqrt(19) + 5669997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/9 - 4)*(-2)\/24. Which is the closest to -1? (a) 10 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*r**4 + 348*l*r**3 - 18*l*r**2 - 7*r**3 + 16 wrt r.\nAnswer: 48*l*r + 2088*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/2, 1, 0.3, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 0)\/(((-1862)\/(-11172))\/(1\/(-15))). Factor -1\/3*r**t + 0 + 2*r.\nAnswer: -r*(r - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 351?\nAnswer: 64\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22726961.6162 + -5?\nAnswer: 22726956.6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 26 + 34. Let q(i) = 2 + 0*i**2 + i**2 - 1 + 0*i**2 + s*i. What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41303911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (-4 - (-6)\/12*10) + 4683.\nAnswer: 32788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-90)\/(-25))\/(450\/(-7875)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 0 + 0*m**2 - 1\/6*m**5 - 1\/3*m**4 - 1\/6*m**3.\nAnswer: -m**3*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 14888950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 10. Suppose 5*j + 10 = -2*m - v, -2*j = 4*m. Suppose -m*x + 6 = x. Solve -2*k - 8 = 3*k - 3*f, -x*k - 4*f = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - x - x**2)*(-4*x - 3*x + 5*x) - x**3 + 4*x - 4*x)*(142 + 39 + 115).\nAnswer: 296*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 3. Let s be x(2). Let q be 3\/2 - (-1)\/2. Suppose -n + 55 = n + s*k, q*n = 4*k + 34. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 66 (b) 0 (c) 24 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24991669 and 2527?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 - 4)*((-1 - 2 + 6)*(0 + 2*r + 0) - 3*r - 7*r + r - 2*r + r + 3*r) in the form y*r + w and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -57, -63, -61, -45, -9?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21923, 175543, 592505, 1404479, 2743135, 4740143?\n\"Answer: 21945*v**3 + v**2 + 2*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 902*i + 7279. Is b(192) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**3 - 238*i**2 + 84. What is the thousands digit of d(51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1405, 0.12, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 0 + (sqrt(272) + sqrt(272) + -2*sqrt(272))**2.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4247, -4258, -4269, -4280, -4291?\nAnswer: -4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = g + 923, 5*b = 4*b - 2*g - 311. Let f = -299 - b. Calculate the highest common divisor of 296 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629775 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/18*r**4 + 0*r + 1\/504*r**8 + 1\/105*r**7 + 1\/180*r**6 - 1\/30*r**5 + 0 + r**2 + 0*r**3. Solve z(d) = 0 for d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + 260\/45. Suppose -3*p = 2*v, a*v - v = 0. Suppose p*k + 7*k - 42 = 0. Solve k - 1 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11214\/5 + 653\/15. Find f, given that -x - 19*f**2 + 1\/3*f**3 + 361*f = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.07 + 62.074251. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-2)\/(sqrt(480)\/sqrt(5)) + ((2 + sqrt(2057))**2 - sqrt(34)\/(sqrt(2)*6)).\nAnswer: 269*sqrt(17)\/6 + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1909164 divided by -8.\nAnswer: 477291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g**5 + 2*g)*(1857 + 216 + 68 + 1724 - 326).\nAnswer: -7078*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.96. Which is the closest to -1? (a) 2\/3 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 0*x - 7*x - 2*x. Let q(p) = 11*p + 1. Let f(a) = -85*a - 8. Let v(i) = f(i) + 8*q(i). Determine y(v(h)).\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 1. Let h = -31 - -25. Let o(q) = -q**3 + 15*q**2 - 2*q - 2. Let a(j) = h*d(j) + o(j). What is the tens digit of a(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -43. Let w(k) = 4*k**2 + k**3 - 6 + 2*k + 7 + 0*k**a - 8*k**2. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53242 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 18 = -12*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 6*g - 3. Suppose 0 = -4*b - 3*x - 3 + 34, 3*x = 3*b - 18. Let r = 10 - b. List the prime factors of u(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35174, -35183, -35198, -35219, -35246, -35279, -35318?\nAnswer: -35363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {e: 1, k: 2, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {n: 12, y: 1, l: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(847) - (sqrt(847) + sqrt(847) + -1)) + 0 - sqrt(847)) + -2*(-2 + ((sqrt(28) + 1*sqrt(28))\/sqrt(4) - sqrt(7))))**2.\nAnswer: -216*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395531894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66834, -66832, -66830?\n\"Answer: 2*y - 66836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1271634898*a**2 + 748912187?\nAnswer: 2543269796*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -177. Let g(b) = 5*b - 2. Let c be g(2). Let v = u - c. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 18. Let g = -1 - -0.8. Let t = -0.3 + g. Which is the second biggest value? (a) t (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 535.1 + -535. Which is the closest to 3\/8? (a) h (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -4. Let o = 7.7 - 8. Let s(x) = -x**2 + 1. Let u be s(-2). Sort i, u, o in ascending order.\nAnswer: i, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/95*-20 - (1 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 37 + (1 - -3) - 13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4410 = -4*i + 3*l + 30125, -5*l = -i + 6433. Let j = i + 7143. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 161252 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850795 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 83*f**2. Let j(u) = -u**2. Determine 6*j(o) + l(o).\nAnswer: 77*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a hour in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (25 + -42 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1828*a**3 + 5*a**2 + 5*a + 4. Determine w(-1).\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(1\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(4\/1))\/(15\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1723507494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 47 = f + l, -3*f + 5*l + 45 = 0. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813693247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 10584072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*a - 14129 = -301*a - 3153 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38.6, 6\/11, 3, 1, -0.079, 30 in descending order.\nAnswer: 30, 3, 1, 6\/11, -0.079, -38.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-42) + (-17)\/(-3). Suppose -12*s + 10*s + j = 0. Solve s*b = -20 + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 338, 719, 1100, 1481, 1862?\n\"Answer: 381*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -39*q**2 + 17. Let r(f) be the first derivative of 7*f**3\/3 - 3*f - 221. Let u(a) = 34*r(a) + 6*w(a). Let m(g) = -14*g**2. Give m(u(s)).\nAnswer: -224*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f + 17*f - 55*f + 13*f. Let i(m) = 2*m. Give l(i(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Let d = 832 + -431. Suppose d = u*v + 105. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**3\/3 - 2*m**2 - 10*m - 1. Let v be h(7). Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 5. Let u(o) = -2. Let m(h) = 2*d(h) + 5*u(h). Let c(z) = z + 3*z - 3*z. Calculate m(c(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341 divided by -26.\nAnswer: 341\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 54 (b) 4 (c) -12 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + n - 10 = 0, 25508*i - 25507*i - 2 = 5*n - n for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*j + 66*j - 51*j)*(8*j + 0 + 4 - 5) - j + 2*j**2 + j.\nAnswer: 482*j**2 - 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 871444*v. Let q(n) = 486*n**2. What is q(p(y))?\nAnswer: 369075517536096*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(122*k - 39*k + 55*k).\nAnswer: -414*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 209\/(-990)*-15*6\/((-1)\/(-1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose 0 = -y - 5*d - 7, -4*y - d - 5 = -w*y. Which is the biggest value? (a) 2 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -98*t**2 - 13\/2*t**3 - 16*t - 2. What is the first derivative of c(m) wrt m?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29087*p**4 + 77046*p**2?\nAnswer: -698088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5481 and -61\/29548883?\nAnswer: 797819841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(76)*2 + -1)*-2)**2.\nAnswer: -64*sqrt(19) + 4872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(b + 3*b - 3*b) + 2*b - b + b + (4 - 4 + 2)*(0 + 0 - b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2848114558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j. Let k(p) = 5*p - 2*p + 3*p. Let d(c) = -9*k(c) + 4*o(c). Let h(s) = -2*s**2. What is d(h(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-g**5 - 3*g**5 + 3*g**5) - 4*g**5 + 2*g**5 + 3*g**5)*(-3 + 4 + 1 + (-8 + 1 - 3)*(0 + 1 - 3)).\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1062204 (base 9) to base 14.\nAnswer: -10c87d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/(-432))\/((2\/3)\/1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bghhb. What is prob of sequence gb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*k + k + 3*u, -3*k + u = -11. Let n = k - 1. Let w = 10 - n. Let t(g) = -g + 3. Calculate t(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + -58b4a?\nAnswer: -58b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 = -2*s, -3*h = -4*s - 0*h - 23. Let c be 3 - s*(-3 + 2). What is the derivative of c + 1 - 2 - 2*u**4 - 5 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51620356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - p**5 - 2 + (5 - p**2 - 5)*(-3*p**3 + 2*p**3 + 2*p**3) + (2*p**2 - p**2 - 3*p**2)*(-5*p**3 + 2*p**3 + 2*p**3) - 5*p**4 - 5*p**5 + 5*p**4.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 2. Let a(q) = 7*q. Let r(c) = 40*c + 2. Let h(s) = -12*a(s) + 2*r(s). What is 3*h(f) + 7*i(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43909235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 11747622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*p - 4508 - 17225 = 25*p. Let n(i) = 2*i**2 - 6*i + 2. Let q be n(-6). Let x = p + q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -5*t - 39, -5*z - 1915*t - 10 = -1911*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115018?\nAnswer: 2, 131, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 3, 22267, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-3224)\/420 + 2. Let d be (-355)\/(-525) + (0 + 1)\/(-3). Let z = d + x. What is the common denominator of 37\/7 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -2. Let x = 6.9 - 7. What is the nearest to x in f, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - j**2 + j**2)*(3 - 1 - 3)*(117 - 60 + 98).\nAnswer: -155*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-22304)\/160)\/(-41)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - 0.52. Let h = m - -0.4. Let c = h + -0.8. What is the closest to c in 0, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, 22, -3, 1.2, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.5. Let i = m - 0.2. Let u = 0.00000035 + i. Round u to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/((-160)\/(-75) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 366.0032524467.\nAnswer: -366.1432524467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 2. Suppose 5*r - 4*a = -z + 11, 0 = 5*r + 4*a - 41. Suppose 0*u = 5*u - r. Solve u = -3*w + 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4\/4 - 3*w**3 - 273*w**2\/4 - 165*w\/2 + 450 = 0. What is w?\nAnswer: -5, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*6*(2 - -3). Suppose 5*k = -c - 12, -3*c + k - 63 = 21. Let z = a + c. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-38 - 6) + 17.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2349899993 = t, -c + 2442*t = 2441*t - 469979993. Round c to the nearest one million.\nAnswer: 470000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 45*s**2 + 189*s + 147.\nAnswer: 3*(s + 1)*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6 = -3*b, 4*g = -2090*b + 2087*b + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = -81. Suppose 0 = 2*r - y - 142. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 12*w - 3. Let x be c(-5). Suppose 35*a - 6 = x*a. Let n(m) = a*m - 1 - 5 + 6. Let k(q) = 12*q. Calculate n(k(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 39*l + 459. Let c be q(48). Let g be (-540)\/(-5) - (0 + 0). Calculate the highest common divisor of g and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219007 and 13226?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162234 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s + 1. Let d be f(-1). Let v be -1 + (d - 5)*-2. Solve -3*k + 2 = -a + v, 2*k = -4*a + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let a = -8833 - -8887. Suppose -u*j = -a - 206. Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12*o**2 - 9*o + 14. Is 16 a factor of m(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 0.0051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18006519 and 1683?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 + 12*t**2 + 459*t - 6. Let s(h) = 4*h**3 + 10*h**2 + 459*h - 5. What is 5*j(z) - 6*s(z)?\nAnswer: z**3 - 459*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -50014555042 - -5\nAnswer: -50014555037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -508\/1581 - -8\/93. Let c = 7 - 9. Let m = 11864.5 - 11864. What is the second smallest value in c, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 2430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 806839?\nAnswer: 806842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, 26, 89, 160, 233?\n\"Answer: -x**3 + 13*x**2 + 17*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2627454, 2627456, 2627458, 2627460, 2627462, 2627464?\nAnswer: 2627466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1304504302 - 5?\nAnswer: 1304504264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 21*v - 19. Let o(d) = -3*d**2 + 63*d + 57. Let a(s) = 6*o(s) + 17*t(s). What are the prime factors of a(16)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 1}. Give prob of sequence pvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + z**2 + 6*z**2 - 448 + 2*z**2 - 50*z - 6*z**2.\nAnswer: 2*(z - 32)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617435357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 0.25. Let t = 0.3 - 1.3. Sort t, 3, d in descending order.\nAnswer: 3, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffa when four letters picked without replacement from {a: 3, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7498941, 7498942, 7498943?\nAnswer: 7498944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -293\/11 (b) -0.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1434 + d?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -51 + (26 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5*k**(1\/10)*k**4\/(k**3\/k) assuming k is positive.\nAnswer: k**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -0.6. Let v = n + -0.6. What is the second biggest value in v, 2\/19, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - -2)*30\/70. Suppose 0 = 4*v + a*h - 13383, -10686 = -5*v + 2*h + 6037. Suppose -2*b + 10075 - v = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -56 - 40. Solve -3 = -u*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16*q**32 assuming q is positive.\nAnswer: q**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 21\/6*8\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*p**3 + 0*p**3 - 2*p**3)*(136 - 4 - 70) + (p**3 - p + p)*(2 - 3 + 2) to u*p**2 + t*p**3 + h + j*p and give t.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*g = -42, -2*g = d + 4*d + 105. Suppose -199*b = -175*b. Put 1, d, b in descending order.\nAnswer: 1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4 + 0*j**2 - 523*j + 452*j + 189*j**4 + 5*j**2 - 3*j**2 wrt j?\nAnswer: 2328*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -453724.\nAnswer: 181489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 - 81*b**3 + 477*b**2\/2 - 237*b + 315\/4.\nAnswer: 3*(b - 105)*(b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3468077611 to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**4 + 230*v**3 + 3900*v**2 + 28730*v + 76895 = 0.\nAnswer: -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/11*(0\/677)\/(-1*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*3*17\/((-119)\/63). Which is smaller: f or -942\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-54 - -54 - (2 + -21) - 100).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6*w + 56. Let g be 12\/w*((-126)\/(-3))\/2. What is the second derivative of 9*a**2 + 9*a**2 + 3*a - g*a**2 - 8*a**4 wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7193 divide 379593915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 + 102. Let b = 49 - i. What is the highest common factor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.6299ml to litres.\nAnswer: 0.0446299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3378.56384 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 40563.326 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - p**3 + 1191*p - 8*p**3 - 1 - 2 - 1173*p to l*p + m*p**3 + d*p**2 + h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16608 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1646925 or 1?\nAnswer: -1\/1646925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + 1495*q + 3347. Give g(376).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p)\/(p**(-4)*p*p)*(p**(2\/5))**(-6\/7) assuming p is positive.\nAnswer: p**(-47\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41492557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from rrirrdrrddri.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039582 is divided by 57754.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564*h - 1770*h - 17*h**2 + 354*h - 7*h**3 - 2 wrt h?\nAnswer: -42*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 6}. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27540)\/(-675))\/((-1)\/(-5)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3690)\/(-2583))\/((-2)\/(-21))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 9. Let x be n(5). Let j be (12\/30)\/(x\/(-5)). What is the nearest to 0 in 1, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/600*y**6 - 1\/300*y**5 + 0*y**4 + 1\/1050*y**7 + 0 + 2*y**2 + 1\/1680*y**8 + 0*y + 0*y**3. Factor n(j).\nAnswer: j**2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o. Let c be (8 - 6) + ((-2)\/(-1) - 2). Let j(z) = z. Let v(g) = c*r(g) - 6*j(g). Let a(d) = 5*d - 2*d - 5*d. Determine v(a(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -29378*f - 4964888. Give k(-169).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2852\/(-69) - -18) + 24\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/sqrt(4) - ((sqrt(7) + 1)**2 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -4*l + 3*w + 3, 5*l = 4*w + 27. Suppose l*o + 615 = 8*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 69 = -5*s + s, 0 = -3*s - 6. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2\/5)*(-60)\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.15 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + m + 2*m - m + 3*m - 4*m + (-m - m - m)*(3 - 4 + 3) to the form c + f*m and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)*5*-6)**2.\nAnswer: 648000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*((-641)\/641)\/(((-1850)\/6)\/(-5))?\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 360 + -1079\/3. Let z be (-3)\/(-12) + 9\/(-4). Let y be -1 - 0\/(-1 - z). Is v at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -29*y - 18. Calculate i(24).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vvjjvvjvvvvjjvvvvvvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/60*-5 - 35\/(-21). Suppose -2*x + 10 = o*a + 5, 5*x = -3*a + 17. Which is bigger: 4\/149 or a?\nAnswer: 4\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212100032 + 0?\nAnswer: 1212100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*p*q**3 + 17515*g**3*p*q**2 + 3*g**2*p + 2208*g*q**3 - 2*p*q**3 - p*q wrt g.\nAnswer: -12*p*q**3 + 105090*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7256 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5501 = -4*d - 2*v + 5529, 3*d - 35 = 2*v for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 2*p**2 + 3*p**2 + 8*p**2 + 2*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -197\/53 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21642648 - 21648674 = 46*o for o.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109514 is divided by 163?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvhqzvv. Give prob of sequence qzv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (2 + (2 - -3) - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 247 + -239 - (0 + -49)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*o + 23 = -443*o - 0. What is the closest to 5 in 3.4, -4\/9, o?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j + 30. Let z be h(4). Let b = -2 - z. Let t(q) = -q + 28. Let g be t(b). Solve c - 3*y - g = 0, -c - 5*y = -y + 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/21 - (-7)\/((-63)\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**2 + 1\/3*r**3 + 0 + 4*r. Let f(k) = 5*k**2. Give x(f(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73262803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 7. Suppose 4*s = -4, -2*v + 0*v - s - h = 0. Is v less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5907 (b) 0.3 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*x - 16, -4*d + d = 2*x - 8. Suppose -x*h + 13 = 5. Suppose h*o - 286 = 52. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14\/5 + 33\/10. Put 0, -3, a in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66874 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 10102204224?\nAnswer: 10102204300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**7\/6 + 4*y**5\/5 - 67*y**4\/12 - y**3\/3 + 253*y. Find the third derivative of x(i) wrt i.\nAnswer: 420*i**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.23 or -90.81?\nAnswer: -20.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -47437\nAnswer: -76\/47437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 11, y: 7}. Give prob of picking 2 j and 1 y.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:02 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*p - 0*p. Let i = p - -8. Suppose -v + i = -0. Is v less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let c(x) = 9*x + 6. Let y(o) = 6*b(o) - c(o). Let i(t) = -t**3 + 9*t. Give -2*i(g) - 7*y(g).\nAnswer: 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 3, h: 2}. Give prob of picking 2 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40204 (base 6) to base 14.\nAnswer: -1cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 divided by -42815.\nAnswer: -376\/42815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 7:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0565, -5, -0.0473 in increasing order.\nAnswer: -5, -0.0473, 0.0565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-171)\/36 + (5 - 0). Determine i so that 1\/4*i - n*i**3 - 1\/4 + 1\/4*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*r + 6*m - 2*m, 2*r + 3*m - 13 = 0. List the prime factors of (4\/6)\/(r\/54).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 - 64*u**2\/3 + 38*u + 60 = 0. What is u?\nAnswer: -1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 3. Let x be a(2). Let f(j) = 2*j**3 - 12*j**2 + 11*j + 28. List the prime factors of f(x).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 at least as big as 797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.124 and -0.75.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/7 - 136*y**4\/7 - 2946*y**3\/7 - 28548*y**2\/7 - 128952*y\/7 - 221616\/7 = 0.\nAnswer: -38, -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 + -4. Let n(r) = 2*r + 15. Let m be n(-8). Let g be 1\/5 + 2*m\/(-15). Which is the third smallest value? (a) t (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106882131 to the nearest integer?\nAnswer: 10338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(448)*1)**2 + -5) + (((sqrt(77) + (sqrt(77) - 1*sqrt(77)) + sqrt(77))*4)\/(sqrt(77)\/sqrt(112)))**2.\nAnswer: 6282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854383762619742*d + 854383762619742*d + 8*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -11*f + 90. Calculate the remainder when 35 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*(w\/w**(-4\/11)*w)\/w*w)\/(((w*w*w\/w**(-2))\/w)\/w)**6 assuming w is positive.\nAnswer: w**(-194\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -46*b. Let h(y) = -75*y. Calculate t(h(f)).\nAnswer: 3450*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/15)\/((-31)\/7812*-70).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3232, 12814, 28738, 51004, 79612?\nAnswer: 114562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 268987397 to the power of 1\/2, to the nearest integer?\nAnswer: 16401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4834, 4830, 4824, 4816, 4806?\n\"Answer: -q**2 - q + 4836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 628. Let j(k) = -2*k - 80. Give j(m(u)).\nAnswer: 2*u**2 + 1176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 9. Let x be v(7). Suppose 0 = -x*q + 25 + 17. Let r = -47 - -68. What is the greatest common factor of r and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1560*y**4 + 2473*y**3 + 14483149*y**2.\nAnswer: -37440*y + 14838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 - (-5)\/3. Let h be ((-8)\/4 - 14\/(-6))\/(-4). Let t = h - k. Which is the biggest value? (a) 3 (b) t (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*l**2 - 14*l**2 + 14*l**4 + l + 13*l**2 in the form k*l**3 + y*l**2 + h + w*l + g*l**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10. What is the remainder when 27 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a**5 - 1173*a**4 + 8338*a**3 - 6620*a**2 - 856*a + 1280 = 0. Calculate a.\nAnswer: -32, -2\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18128 and 69026480?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 (base 4) in base 15?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6231 and 1643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(2\/21)*q**3\/q*(q*q*q*q**(-2\/5)\/q)\/q*((q\/q**(2\/3))**(-1\/3))**(-1\/3) assuming q is positive.\nAnswer: q**(2447\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/17613623 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246*a**2*d*y - 62*a**2*d - 2*a**2*y - 3*a*d*y + 11*d + 4 wrt y.\nAnswer: 246*a**2*d - 2*a**2 - 3*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 125. Suppose c - r*x - 5 = 10, 5*c + x = 20. Let s be c\/25 - 48\/(-10). Solve -k + 0*j - 1 = j, -2*k + j = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 1024140032?\nAnswer: -1024140134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*r - 30, -y - 1 = 4. Find the second derivative of 10*b + 8*b + 4*b - r*b - b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 n, and 1 f when four letters picked without replacement from {e: 7, n: 3, f: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-45))\/((-135)\/50 + 3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.64 + -7.417. Let o = q + -0.103. What is o rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*l**2*q - 4*d**3*l*q**2 + 44*d**3*q**3 - 11*d*l**2*q**3 - 7*d*l**2*q**2 + l*q**2 wrt q?\nAnswer: 264*d**3 - 66*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/2 - 53*q**3\/6 - 14*q**2 + 2*q. What are the prime factors of s(-17)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23229?\nAnswer: 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:02 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) - sqrt(228)*1*-3) - sqrt(228))\/(sqrt(432)*-2).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2, 0.07, -0.4, 237.1237?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 - 2*a - 1. Give s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h**2 + 8*h - 3. Let x be c(3). Let p be (-4 + x\/(-25))\/2. Is -1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 78047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1076*z**2 - 2*z + 2151*z**2 - 1072*z**2 + 2*z.\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -332 - -558. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.7 - 63. What is the smallest value in w, -4\/9, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18984, 29738, 40492, 51246, 62000?\nAnswer: 72754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2 - 160*t - 24. Determine m(-23).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/(7 - (7 - 3))*3. Find the second derivative of -31*o**5 + 94*o - 27*o**5 - d*o**5 + 44*o wrt o.\nAnswer: -2160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012371159 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 46*q - 10. Let a(i) = -31*i + 7. Let x(j) = -7*a(j) - 5*l(j). Let h be x(-1). Let d = h - -8. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092*w + 1103*w + 286 = 0. Which is the fourth smallest value? (a) w (b) 4 (c) 2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1674 and -123\/10?\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 2*r**2 + 0*r**3 - 3*r**3 + 2 to the form b*r**2 + v*r + s + z*r**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313110 + 2?\nAnswer: 2313112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1280844, 1280861, 1280888, 1280925, 1280972?\n\"Answer: 5*n**2 + 2*n + 1280837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/(-219)*3*29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 391, 7, -33, 17 in descending order.\nAnswer: 391, 17, 7, 3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 10*x**2 + 9*x + 6. Let d be q(9). Let a be 22\/d + 28\/(-42). Let p = 13 + -5. Solve 0 = -a*o + p*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2. Suppose -4 - 51 = -5*u. Let p(n) = -4*n - 2. Let g(l) = -21*l - 11. Let i(v) = u*p(v) - 2*g(v). What is z(i(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520\/91 + 1*5*(2 + -3)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 253*u**6\/120 + 9*u**5\/2 + 113*u**2. What is the third derivative of z(v) wrt v?\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -122, -167, -194, -197?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1214353 - -10?\nAnswer: 1214363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13832.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8803975.\nAnswer: 5, 211, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 5, l: 6, v: 1, g: 5, a: 1}. What is prob of sequence aul?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78.96793 decades?\nAnswer: 9476.1516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v**2 - 2*v**3 - 3*v**3 + 27*v**2 - 4*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 8)\/4*-7*300\/(-210). Sort -32, i, -1.\nAnswer: -32, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.98 (b) -1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + sqrt(343))**2 - ((4 + sqrt(175))**2 + sqrt(7))).\nAnswer: -966 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 840.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315 + -315.000004022. Round j to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**3 + 331*r**3 + 71*r**3.\nAnswer: 353*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/7 - -11\/14. Let z = -0.749 + 0.7263. Let j = 0.0773 - z. Which is the biggest value? (a) l (b) 0.2 (c) j (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (2 - (0 + -2)). Let i be b*3\/(-138)*-2. Suppose 0*l + 2*w = -l, 5*l = w. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252920 or 995?\nAnswer: -252920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 83 + 83. Suppose -f = -118 + c. What is the smallest common multiple of f and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b37 (base 13) in base 4?\nAnswer: -1000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-j**2 + j - j) - 4*j + 4*j - 7*j**2 - 16*j**2 + 0*j**2 + 6*j**2 to the form f + p*j + v*j**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2432 and 2736?\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p - 5*p**2 + 3*p + 5*p + (p - 3*p + 0*p)*(0*p - 5*p + 2*p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*k + 1338*k = -18550 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6))**26*(i**(2\/9))**19)**(-3) assuming i is positive.\nAnswer: i**(-1676\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -651b7 (base 12) in base 5?\nAnswer: -13231324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -44*a - 21. Let n be b(-3). Suppose -123 = -6*y + n. What is the remainder when 922\/8 - 2\/8 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 28 - (1 + 3 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 1 g when three letters picked without replacement from gwgnbwvbwwwswwnsw?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/(2\/(-3)). Let f be (-1)\/(s + 2) - 8899999. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/r)\/r*r*r\/(r\/((r\/r**14*r)\/r))*r**(-17)\/r**(-1) assuming r is positive.\nAnswer: r**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 7*m - 2*f = 4, 5*m + f = 1. Suppose 4*w + 5*d - 44 = 0, 5*w = -3*d + m + 41. Suppose 0 = 9*v + w*v - 675. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (234\/15)\/((-4)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 18*c - 66. Let f be i(21). Put 1, 5, f in ascending order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 + 4*k - 1. Let f(v) = v**2 + v - 1. Let z(x) = -6*f(x) - u(x). Let c = 33 + -23. Is z(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11477*z + 11741*z - 15576 = 0 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - 4 - (2 - 1). Suppose -3*p + 15 = -5*y - 8*p, -17 = o*y - p. Let t(s) = s**3 + 4*s**2 - 4*s + 3. Give t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/14 - (0 + 1\/2). Suppose -4*f = w - 533, -c*w + 0 = -f + 107. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 507\/(-57) - 5022\/(-558).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30713 - 10418 = 15*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202232 (base 4) in base 13?\nAnswer: 2b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 4*c - 4*c)*(543*c**2 + 336*c**2 - 231*c**2).\nAnswer: 1944*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**2 + 2*c - 3. Let j(h) = h**3 + 20*h**2 - 5*h + 5. Give -2*j(f) - 5*v(f).\nAnswer: -2*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14350 = -7*g + 1022. List the prime factors of g.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**2\/7 - 22084*y\/7 + 11040\/7.\nAnswer: 4*(y - 2760)*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15210, -60690, -136490, -242610?\nAnswer: -379050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 16. Let l be o(5). Suppose -12 = -l*a + 6*a. Let j be a\/(-16) - (-21)\/4. Solve 4*s - 5 = j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61305120 a multiple of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 262252 + 1606*o**3 - 262252 + (-5*o**3 + 0*o**3 + 3*o**3)*(5 + 2 - 4) + 4*o**3 + 0*o**3 - 2*o**3.\nAnswer: 1602*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -67*r - 53. Let h be m(-8). Let d = h - 266. What are the prime factors of d?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 14*o + 13. What is z(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 31. Is h greater than or equal to -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017673 rounded to seven decimal places?\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 11*r**2 + 15*r - 14. Let j be s(10). Let h be (0 + -1)\/((-18)\/j). Suppose -h*c + 3*a + 9 = 2*c, c = a + 3. Solve c*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/(36\/144).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1457095647 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**5\/10 - t**4\/18 - t**3\/3 + t**2\/3 + 28*t - 24. Let g(z) be the first derivative of u(z). Find m, given that g(m) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5365.4 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*q + 6. Let v = -26 + -9. Let g = v + 49. What is the lowest common multiple of q and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 28*g**3 - 4*g**2 + 4*g + 8. Let j be l(3). Suppose 3*z - 436 = 5*i, -6*i + 11*i = -5*z + j. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/677 or -0.079195?\nAnswer: -3\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ff6 (base 16) to base 7.\nAnswer: -460543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:37 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h, 0 = -2*a - 4*h - 38957 + 96265. List the prime factors of a.\nAnswer: 2, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = -44. Let g be ((-4)\/3)\/(q\/21). Suppose -g*d = d - 27. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 101 + 121. What is the greatest common factor of 407 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-36))\/7 + (-32)\/504?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 26*z + 62*z - 118*z + 17*z + 9*z.\nAnswer: -4*z + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 2) + -15 + (18 - 36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1493, 5, -4152 in ascending order.\nAnswer: -4152, -1493, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + z**2\/2 + 11*z + 29. Let u be a(-7). Suppose u*b = 8*b. Solve 4*y + b*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -617*g + 662*g + 450 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -5. Suppose 10*w = 5*w + 100. Calculate the remainder when w is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/(-30)*(-2832)\/(-14). Round o to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -97, -127, -141, -133, -97, -27, 83?\n\"Answer: m**3 - m**2 - 44*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.6 or -2380?\nAnswer: -2380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 247 = 284. What is the common denominator of -28\/87 and p\/(-6)*-3*(-16)\/(-72)?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let b be g(5). Suppose -b*r + 2 = -4*v + 13, 5*r + 13 = 4*v. Solve 0 = v*u - 0*y - y + 1, -12 = 4*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66468256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129005466 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6902196 and -95\/16764.\nAnswer: 75924156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12602 and 0.4.\nAnswer: 5040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 5*y - 3. Let d(a) = -a**2 + 8*a - 9. Let q be d(6). Let f be m(q). Let 3 + 21*s**f + 27*s**2 - 17 - 36*s + 2 = 0. What is s?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 55 = 3*m + 1169, -5*i + 1525 = -5*m. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:23 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**4 - r**3 - r**2 + r - 1. Let y(f) = 9*f**6 - f**4 + 3*f**3 + 11*f**2 + 3. Let i(c) = -3*l(c) - y(c). What is the third derivative of i(u) wrt u?\nAnswer: -1080*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.009 - -199.991. Let w = k - 200.3. Let v = -5 + 5.3. What is the closest to w in v, 0.5, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 20. Give s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 12*c - 9. Let w be u(11). Suppose 2*t - 4*t = w*r - 418, -832 = -4*r - 2*t. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -1.5. Let r = -0.7 - 0.1. Let k = r + i. Sort -0.5, -0.3, k in descending order.\nAnswer: k, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-208)\/24)\/((-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**6 + 3*j**4 - 574*j**2 wrt j?\nAnswer: -600*j**3 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 = 2*a + 5*i, -10 = -5*i. Suppose -32 = -p - 3*b, 3*p + 0*p = -5*b + 80. Suppose -v = a*g - p, -3*v + 4*g - 2*g = -68. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 12800. Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210200103 (base 4) to base 7\nAnswer: 5504315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-62)\/3)\/((-8)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 4*k - k + (3*k + 2*k - 7*k)*(-5 + 0 + 3) + (0 + 2 - 1)*(3*k - 2*k + 2*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 12*c**2 - 8*c - 1. Let z be f(-13). Let v = 71 + z. Suppose r + 133 = 5*r - 5*w, -v*w = -2*r + 69. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + g**3 + 2*g**3)*(g + 3 + 2 - 4).\nAnswer: -g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712782?\nAnswer: 2, 3, 7, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c - 43. Let j be l(-3). Is -1\/126 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g - 1. Let b(i) = -11*i**2 - 5*i - 7. Let n(t) = b(t) - 5*o(t). Suppose -59*y = -49*y + 10550. Let z = 1053 + y. What is n(z)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209*m + 147710 = -48891 for m.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 4. Calculate the remainder when 71 is divided by n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 20. Let d(t) = t**3 - 2*t**2 - 11. Let c be d(0). Let b be z(c). Suppose -b*m + 1770 = -3*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(15093\/78)*-18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 6741144*x**2 - 13482276*x.\nAnswer: -3*x*(x + 2)*(x + 2247046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -1 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261135977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 351996353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 403?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29550*t**3 + 32*t - 11*t + 10*t - 29368*t**3 to m*t**2 + n*t**3 + x*t + p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26428000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, 40, 151, 368, 727, 1264, 2015?\n\"Answer: 6*r**3 - r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5389367.\nAnswer: 5389367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/372459 and 73\/240.\nAnswer: 29796720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 19.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/204 + 3*z**5\/85 - z**4\/3 + 8*z**3\/17 - 2072*z**2. What is t in h(t) = 0?\nAnswer: -6, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 74. Let g = n - -13. Suppose -2*p + 3*x = -33, -3*p = 4*x + x - g. What is the lowest common multiple of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -350 + 319 + (1 - -3 - -5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 117. Give d(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-80))\/((-2)\/(-25)). Let p = -3\/241 - -515\/2651. Let w = 9 - 5. Which is the nearest to 1? (a) w (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128)*6 + -2)**2*3 - (-1 + (sqrt(2) + sqrt(14)\/(2*sqrt(7)) + sqrt(2) - sqrt(22)\/sqrt(44))).\nAnswer: -674*sqrt(2) + 18829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f - 68*f + 1920 = 62*f - 236*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 8. Let p be t(-6). Let r(k) = 3 - 4 - 1 + 0*k - k. Let q be r(p). Are 2 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3940500 != -3940501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14285 + 14314. Put b, -4, -33 in increasing order.\nAnswer: -33, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111981, 100373, 88765, 77157, 65549, 53941?\n\"Answer: -11608*k + 123589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2214023 - 2?\nAnswer: 2214021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -344632.052 and -0.82.\nAnswer: -344632.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.017 and 1509.\nAnswer: 25.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 - 13*t**2 - 2*t + 7. Let k(w) = 1 - 4*w**2 + 11*w**2 + w - 5 + 3*w**3. Let j(z) = -4*i(z) - 7*k(z). Suppose -o + 0 = -3. Determine j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5 and 53\/40332.\nAnswer: 201660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 134, 0, -4 in increasing order.\nAnswer: -4, -0.4, 0, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*f + 4*z, 3*f - f + 5*z - 48 = 0. Suppose 0 = 5*n - f - 76. Find j such that -4 - 13 - 2*j**2 + 17 + n*j = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:23 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*a - 15, 3*a = -12. Let w be 9 - ((j - -4) + -3)\/2. Solve -w = -l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10101831*q**4 - 5*q**3 - 167*q**2 + 35527*q?\nAnswer: 242443944*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 3. Let i(c) = 2. Let z(b) = -5*i(b) - 6*j(b). Determine z(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 197?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 178*c**2 - 4*c + 3. Let v be r(1). Suppose -5*g = p - 442 + 160, -3*g + v = -2*p. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 478224933 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-4)*-1*0. Let m(x) = -x**3 + 2*x + 88. Does 13 divide m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let k = 0.3 - 0.2. Let o = -40 + 40. What is the nearest to o in k, j, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -871*t - 245625. Calculate s(-282).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*u + 10 = 0, -532*y + 534*y = 5*u + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2904*k**5 + 2*k**4 + 3*k**3 - 1412*k**2 - 3*k - 3?\nAnswer: 174240*k**2 + 48*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 + -5)**2 - (((-1 + sqrt(288) - sqrt(288)) + sqrt(288))**2 + 5) - (sqrt(288)*-1 + -5 + (1 + sqrt(288) + -2)**2 + sqrt(288)).\nAnswer: 288*sqrt(2) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146492 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b = 121*b - 31*b + 236 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (87 - (36 + 4)) - 38\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-4088)\/(-714)*3 + -1 + 0\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292012*i**5 + 293796*i**5 - 1 + 1 - 1638*i wrt i.\nAnswer: 35680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 168*b - 352. What is d(-83)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/120 - 4*l**3\/3 + 4*l**2. Let h(i) = i**3 - 4. Let k(q) = 4*c(q) - 7*h(q). Differentiate k(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9366496 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442593 plus 1388404667?\nAnswer: 1388404666.9557407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -866780 (base 11) to base 15\nAnswer: -1c5650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/11968 and 77\/85544.\nAnswer: 7527872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80024 - 1.039748.\nAnswer: 80022.960252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064 + 58.\nAnswer: 58.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1052 rounded to 3 dps?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32750000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 804 and 14124.\nAnswer: 946308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*v + 2366 = 0, -2*o + 12*v = 7*v - 938. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Solve -p = 2*o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 1356*p**2 - 14472*p - 13120.\nAnswer: -4*(p + 1)*(p + 10)*(p + 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 67971816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = 33*v. Let y(s) be the first derivative of 0*s**4 + 6 - 6\/5*s**5 + v*s**3 + 0*s + 3\/2*s**2. What is the second derivative of y(z) wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 204775, 409549, 614323, 819097, 1023871, 1228645?\n\"Answer: 204774*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33774.0021103 - 33774. What is m rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssy when three letters picked without replacement from ooooyotoysyweyttyots.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64502937*o + 84968818 wrt o?\nAnswer: -64502937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. Let a = 11 - t. Suppose 3*j - 3*p + 1430 = -p, a*j - 3*p = -2385. Round j to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/4 (b) -0.2 (c) 57735 (d) -4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 16. Let x = -19 + h. What are the prime factors of 2 - (-3)\/((-3)\/x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*p - 2*u - 18, 0 = p + 8*u - 21. What is the second biggest value in p, 4, 15\/43, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 309 = -6. Suppose -25 = -8*d - l. Solve d*y - 5 = 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598568 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337580 divided by 37155?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 times -1.18?\nAnswer: -199.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -i - 3*i + 1470, -4*m + 2*i - 1176 = 0. Find the common denominator of ((-946)\/260 + 2)\/(m\/(-245)) and 31\/9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1. Let g(i) = 11*i + 2. Let n(c) = -g(c) + q(c). What is the remainder when 37 is divided by n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 2*p - 20. Let h(a) = a**2 - 1. Let l(u) = c(u) - 2*h(u). What is the remainder when 48 is divided by l(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154377 + 2934672 = 15*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*o**2 + 7*o**2 + 73*o**2 + 5*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3007502 not equal to -3007451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6464569um to nanometers.\nAnswer: 646.4569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 70*f**2 + 14*f**2 - 39*f**2 - 15*f**2.\nAnswer: -110*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - (-20)\/6. List the prime factors of 12\/(-18)*k\/(-2)*53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -4*l**2 + 3*l - 2\/5*l**5 + 10\/3*l**3 + 0 - 1\/3*l**4. Factor q(g).\nAnswer: -4*(g - 1)*(g + 2)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, 0, -4, 9, 4 in descending order.\nAnswer: 9, 4, 0, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -531.37808 + 402.37808236. Let j = h + 129. Round j to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235189554 less than 2232?\nAnswer: -235187322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 97?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-2)*6\/(-12). Let x = f + -9. What is the units digit of (8\/12)\/(x\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 14*z**3 + 2*z**3 + 2*z**3 + 8*z**3.\nAnswer: -2*z**3 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37057752 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/8)\/(-5 + -1 + 0 + 7)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 6 = -16*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/144)\/(595\/255).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 - 449*i**3\/3 - 2701*i**2\/6 - 901*i\/3.\nAnswer: i*(i - 901)*(i + 1)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110 times 9\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.5635 rounded to 1 decimal place?\nAnswer: 339.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22703 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 6*g**2 + 8*g - 4. Let c be k(4). Let m = c + -56. Suppose 0 = -m*t + 204 - 36. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 22*z + 1. Let f be m(-10). Let y = f - 19. Suppose -6 = -19*t - 6. Solve q + y + 3 = t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**2*u**3 - 6*d**2*u - 116194*d*u**3 + 17618*d*u**2 - 3*u**3 + u**2 - 16*u wrt u?\nAnswer: -60*d**2 - 697164*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-71847\nAnswer: -14369.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 40 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + o - 3649 = 0, 0 = i - 0*i + 3*o - 1211. What is the remainder when i is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 172. Let t(b) = 2*b - 34*b**2 + 18*b**2 + v*b**2 - b. Let h(r) = r**2. Calculate t(h(x)).\nAnswer: -x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(16\/6 - 0). Let o(l) be the second derivative of l**5\/20 - 2*l**4\/3 + 5*l**3\/6 - 15*l**2\/2 - 5*l. What are the prime factors of o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032213 (base 4) to base 6\nAnswer: -35143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1402 + -1402. Solve -i - 14 + 19 = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -74905801562.\nAnswer: -74905801563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 6}. Give prob of sequence oo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 174718959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31724 divided by -721.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 6068. Let z(s) = 6*s. Calculate z(q(d)).\nAnswer: 42*d - 36408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -43. Let v = 31 + -20. What is the lowest common multiple of (-20 - -16) + (13 - s) and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 10 + 53. Let c = t - -35. Suppose 0 = -5*h - 11 + 71. What is the lowest common multiple of h and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 2, 5, -5, -4, -2306 in decreasing order.\nAnswer: 109, 5, 2, -4, -5, -2306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**41\/(o**4*(o\/(o*o*o\/(o*o**(-1\/2))))\/o))**(1\/5) assuming o is positive.\nAnswer: o**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - 31 - (60 + -16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45590, 73256, 100920, 128582, 156242?\nAnswer: 183900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 14*d**4 + 50*d**3 + 46*d**2 - 2*d - 12 = 0.\nAnswer: -2, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117 + 10*u + 117)*(-3*u + 3 - 3)*(2*u + 3*u - 4*u) in the form r*u**2 + j + q*u + p*u**3 and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71136 and 10359180.\nAnswer: 82873440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*y + 5*y**3 + 7*y**2 + 4*y**3 - 4 + y**2 - 7*y**3.\nAnswer: 2*y**3 + 8*y**2 + 486*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.52 to zero decimal places.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*2)*-4 - sqrt(78))\/((sqrt(42)*2)\/sqrt(7)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 469, 1093, 1967?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 3*v = 9. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82368 = -380*x - 918*x + 10959 - 10255 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(100)*6*-4*5)\/((sqrt(14) + (sqrt(98)*-1)\/sqrt(7) + sqrt(14))\/(sqrt(112)\/sqrt(4) + sqrt(7))).\nAnswer: -3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -13*a**2\/2 + 22*a + 146. Let r(h) = 42*h - 67. Let c(x) = -17*o(x) - 6*r(x). Find the first derivative of c(u) wrt u.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-128)\/(-616)) + -41?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 89762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + 221022?\nAnswer: 1001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3126*o - 257*o - 3118*o + 196*o - 2077*o as j + g*o and give g.\nAnswer: -8382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56413, 56405, 56397, 56389, 56381?\nAnswer: 56373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/500)\/((-1)\/(15*-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -1658, -2288, -2918?\nAnswer: -3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584*n + 6383 = -1571*n. Is n < 491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 5*n**7\/42 - 17*n**6\/2 - 105*n**5\/4 - 265*n**4\/12 - 2*n - 239. Factor s(i).\nAnswer: 5*i**2*(i - 53)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -718*m - 606*m**3 - 54396*m**2 + 54396*m**2 wrt m?\nAnswer: -3636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 42*q**2 - 168*q + 192.\nAnswer: -3*(q - 8)*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*q = -149 - 27 + 38. Let d = -1 + 1. Solve d = q*y + 4*y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1581 = -4*g + 550, -4*l - g + 829 = 0. Let m = l + -167. What is the remainder when 122 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -8, -14, -20, -26?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 + 387. Calculate the remainder when 57 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425 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: Let h be ((-5)\/(-10))\/((105\/(-6))\/7). Let t = -1.8 - -2. Suppose -3*k - 1344 + 1356 = 0. Which is the biggest value? (a) 0 (b) t (c) k (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 + (-24 - (-10 + 0 + (-565 - -547))).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3275*v + 944. What is the units digit of p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g + 2141 = 4*c + 562, 160 = 7*c - 5*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 31 (c) 3\/13 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0840579 and 6.\nAnswer: 5.9159421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.049382867 to three decimal places.\nAnswer: 16.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5\/7, 0.5 in descending order.\nAnswer: 0.5, -5\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2087896858064*u + 2087896858079*u.\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29869 - -30085. What is the smallest common multiple of 396 and a?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.3 and 0.045142?\nAnswer: 0.2843946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026108330 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153.49999811 + -153.5. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(38 + 26 - 17)*(3*n + n - 6*n) + n - 6*n + 3*n)*(2*n**3 - 2*n**3 - n**4).\nAnswer: 96*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 2\/299, -6 in decreasing order.\nAnswer: 2\/299, -0.06, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y**3 + 198*y**3 - 71*y**3 - 65*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:35 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11259 = 4*l + 187*l - 1347 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x = -30*x - 42. Which is smaller: x or 15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349647?\nAnswer: 3, 116549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25048872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38295 = -1250*l - 415*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -99 (c) -0.2 (d) 199.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:24 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 13815?\nAnswer: 607860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1324571, 1324569, 1324567, 1324565?\nAnswer: 1324563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -583, -3, -14, -5, -59, -4 in ascending order.\nAnswer: -583, -59, -14, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35538200.\nAnswer: 2, 5, 177691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537 less than 2884.564542?\nAnswer: 4421.564542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0 + 0)*(-24 - 160 + 27) - 3*q**2 + 0*q**2 + 2*q**2 + 15*q**2 - 11*q**2 - 37*q**2 + (3*q - 6*q + 2*q)*(4*q - q - 2*q).\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 13. What is r(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {p: 5, j: 1, g: 3, x: 5, u: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 20. Let b(g) = g**3 - 16*g**2 + g - 13. Let a be b(t). Solve -a = 2*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -106*j**2 - 363*j + 6. What is the remainder when 595 is divided by m(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -522*t**7 + 286*t**3\/3 - 10*t - 8992. What is the third derivative of b(l) wrt l?\nAnswer: -438480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-27)*j\/j**(20\/9) assuming j is positive.\nAnswer: j**(241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 15*l**2 - 22*l - 2. Does 62 divide p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*k - 1423 - 3167, -2723 = -3*g - 5*k. List the prime factors of g.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -189, -406, -709, -1098?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101557, -406321, -914285, -1625449, -2539813, -3657377?\nAnswer: -4978141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24) + -7*5\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*s**2 - 321*s**2 - 79*s**2 in the form n + i*s + f*s**2 and give f.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:17 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -902*g - 64033. Calculate t(-71).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1, k - 2886 = -3*k + 2*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 3*z**3 - 3*z**3 + (-z + 0*z + 3*z)*(2*z + 3*z**3 - 2*z) + 6*z**4 + z - 2*z - 5*z**4.\nAnswer: 5*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**6\/30 - j**5\/30 + j**4\/6 - j**3\/2 + 4*j**2 + 3. Let b(x) be the second derivative of p(x). What is the tens digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2145941 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 280999120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 d, and 1 i when four letters picked without replacement from ukidiucds.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 4187 + 3188 + 11*j**2 + 12*j**2 - j - 23*j**2.\nAnswer: -j**3 - j + 7375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10918 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 3. Let b = -10 - -2. Let n(m) = -11*m + 9. Let g(v) = b*p(v) + 3*n(v). What is the smallest common multiple of g(2) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30. Let w = 0.988 - -0.012. Which is the closest to p? (a) w (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -7, 0.3, 9\/7, -1.2, -6\/29, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0330992027 from -86.53.\nAnswer: -86.4969007973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/60 - 7*m**3\/6 + 8*m**2. Differentiate y(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -17. Let d(x) be the first derivative of -3*x**2 - 3 + t - 1 + x**5. What is the second derivative of d(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1482714 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from hijiiiiqhqqiiiiqjj?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12759272 + m - m + 2*m**2 + 12759272.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -372.09. Let a = 378 + w. Are 0.14 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150)\/45*(-234)\/4. Let d = v + -91. Calculate the highest common factor of d and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x - 8. Let i be z(-6). Let a(o) = o**3 + 9*o**2 + 4*o - 8. Let c be a(-6). Let q = c + i. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21793217?\nAnswer: 31, 43, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/5470197 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1563672, -1563675, -1563678?\n\"Answer: -3*a - 1563669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -728 - -1350. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 27*i**2 - 12*i - 13. Let l be o(13). Which is the nearest to l? (a) -2\/7 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**3\/6 + 31*z**2. Let t(d) = -d - 1. Let g = -6794 + 6791. What is g*t(k) - f(k)?\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(1\/9)\/r*r*r)\/r)\/r**1*r**(-4)*r\/(r\/r**(-5)*r))**(5\/2))**43 assuming r is positive.\nAnswer: r**(-8600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4199 + 0.0801. Let h = 0 - -1. What is the second smallest value in w, h, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:03 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-48)*(-2 + 2). Sort -12, p, -5.\nAnswer: -12, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*b + 6*b. Which is bigger: 10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12609368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15899458 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 158 (b) -1\/2500 (c) 4\/55 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, 1 n, and 1 t when four letters picked without replacement from ntemen?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1 - -4) - 10 - (-32 + 17 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17900966 and 71603864?\nAnswer: 71603864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Let b be (4 + -1)*(g + -1). Solve 0 = -b*c - c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 20*o - 26 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ympxmpmxppm. Give prob of sequence xyp.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9375206 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 7, 11, 17, 25, 35?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9325\/16 + 583. Suppose 0*x - 5*x + 10 = 0. Let v(f) = -6*f + 11. Let b be v(x). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37 and 28\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 164*s + 344. Let z be q(-84). Solve 0 = z*t - t - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2121.932\nAnswer: 2124.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3158, -3150, -3136, -3116, -3090?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 904 + 15*a - 922 + 11*a + 2*a**2. What is the least common multiple of 20 and k(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 a when three letters picked without replacement from {m: 4, a: 7, j: 2, k: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6161 - 6160. What is the smallest value in -1\/2, 25, -0.2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j - 8. Let n be a(5). Find the third derivative of b**6 + 7*b**2 + b**2 - 4*b**n wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 13*z + 9. Let j be s(-11). Let k = j - -15. Let h(q) = 30*q - 31*q - q**2 + 3*q**k - 2*q**3. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95048*p**2 + 2*p - 7101 wrt p?\nAnswer: -190096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 889*p + 1. Let k be o(-9). Round k to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkkan. Give prob of picking 1 n and 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*z - 2, 0*f = -2*z + f + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 14599*a**2 - 17 - 483*a**2.\nAnswer: -15082*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:21 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 430030 (base 5) to base 14\nAnswer: 535c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*l + 27, -l = 4*u + 4*l - 71. Let p be (0 - (-28)\/2)*(-3)\/(-3). Is p > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6) - -2)*72\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288 a factor of 53784384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(-2*p - 4*p + 5*p + (-2*p + 0*p + 0*p)*(-1 - 1 + 6)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, c: 16}. Give prob of picking 1 o, 1 l, and 1 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3*k + 2. Let z be u(-3). Solve -s = 4*n + 14, -3*s - 4*n - 12 = -z*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-16)*d*d**(12\/7)*d*d assuming d is positive.\nAnswer: d**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 0*z - 2*z**3 - z**3 + 6*z**3 - 147.\nAnswer: 3*z**3 - 8*z - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27333\/5 + 5827. Let q = 362 - h. Calculate the common denominator of (11\/6 + -2)*1 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 29330 = k. Calculate the remainder when k is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8248.85 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -539, -510, -483?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156961*j = -156945*j - 92560. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 14*w**2 + 338 + 256 - 648 - 6*w - 15*w**2 in the form k*w**3 + t*w + l*w**2 + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 173 = 175. Suppose 542 = q + a*d + 105, -1768 = -4*q - 4*d. What are the prime factors of q?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/t**21)\/t))**(-1\/6)\/(t*t**(-5)*t**4*t) assuming t is positive.\nAnswer: t**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 295*y + 2074. What is the thousands digit of v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 - 5*m**2 - 8*m**3 - m**2 + 2 - 7*m**3 to the form z*m**2 + j*m**3 + q*m + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3073*g + 1762*g - 1911*g - 55*g to c*g + v and give c.\nAnswer: -3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, w: 1, k: 2, h: 1, z: 1}. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**5\/50 - h**4\/10 + h**3\/5 - h**2\/5 + h + 2. Let i(p) be the first derivative of o(p). Factor i(l).\nAnswer: 2*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-15 - -15 - (1 - 3)) - (-50 + 53)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 398587700 = 4*v - 30267725, 5*v - 5*i + 460400025 = 0. Round v to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m - 5*m**2 - 8981 - m**3 + 8981 to the form n*m + u*m**2 + o + q*m**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.189 - -0.805. Let n = 0.074 + i. What is n rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**3 - 4*r - 1. Let s be j(-1). Suppose 2*k - 13 = 3. What is the tens digit of (s\/k)\/((-6)\/312)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2648)\/(-1655) - (138\/(-45) - -3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46751616048 + -27224307244. Let i = p - 19527308938.99999783. Let k = i - -135. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 (base 6) in base 11?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 - 78295*u\/4 - 684775 = 0. Calculate u.\nAnswer: -78260, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let f(u) = -u**2 - 4*u + 2. Let y be f(-3). Let d(t) = 3*t**2 + 11*t**2 - 7*t**2 + y*t**2. What is m(d(o))?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -70*3*60\/9. Round r to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let u(i) = -i - 7. Let c be u(-11). Let j(m) = -c + 2 - 13*m + 2. Calculate j(r(d)).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 75 = -8*z. Solve 5*n = 2*n + z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/3 + 315692*j**2 - 3788352*j = 0.\nAnswer: -947088, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -61. Let x be 5\/(z\/(-8))*-3. Solve 0 = -b - x*v + 1, 3*b + 2*b - 5 = 5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 42. Let j be v(13). Solve 3*d + 6 + j = 3*g, 4*g = 5*d + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -360 - -1?\nAnswer: -35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*p**6 - 16*p**5 - p**3 + 980*p**2.\nAnswer: -29640*p**3 - 960*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/(m*m\/(m\/m**(5\/6))))**(-1\/31) assuming m is positive.\nAnswer: m**(61\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 7*t**2 - 11*t**2 + 8*t**2 + 2*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h**3\/3 + 6014*h**2 - 2067999*h - 38864720\/3 = 0. Calculate h.\nAnswer: -80\/13, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**3 - 6*l**2 + 15. Let y(r) = 5*r**3 - 3*r**2 + 8. Calculate -6*t(z) + 11*y(z).\nAnswer: z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y, 0 = -c - 12*y + 14*y + 19. Calculate the highest common factor of 35 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/(6\/180). Suppose -l - f = -4*x, 5*x + 5 = 5*l + 35. Suppose 0 = 4*k + 2*t - x, 3*k + 0*t - 11 = t. What is the nearest to -1\/4 in 2, k, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.547 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -555, 22, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-392)*-14 - 18\/210*38.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 522*h**2 - 29926*h + 30450 = 0. What is h?\nAnswer: -175, -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 2 (c) 16 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 1724088?\nAnswer: -1724148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -10. Suppose -2*x + 27 = l*x. Let k(c) = 0*c - 20*c**3 - 6*c**2 + 41*c**3 + 3*c + 3 - 20*c**x. Calculate k(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -745 - -766. Solve -33*r + z = -26*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z + 150. Let s(y) = 5*y + 59. Let l(d) = 8*s(d) - 3*x(d). Give l(12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.144 * 195.\nAnswer: 28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*s + 38*s**4 + 1 - 4*s**4 + 2 - 1 wrt s?\nAnswer: 408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -741*q. Let h(y) = -5803*y**2. What is h(l(i))?\nAnswer: -3186317043*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 94067, 3, 0, 4 in ascending order.\nAnswer: 0, 3, 4, 94067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31812 and 108.\nAnswer: 286308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a - 30 - 12*a + 25*a to z*a + s and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**3 + 3*j**3 - 3*j**3 + (4*j + 0*j - 5*j)*(-3 + j**2 + 3).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122240079?\nAnswer: 3, 13, 97, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 10, y: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 3*p + 3*p)*(-14*p + 8*p + 31*p) + 5*p**2 + p**2 - 5*p**2 + 2*p**2 + 0*p + 0*p in the form w + z*p**2 + t*p and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71.27*0.14667\nAnswer: -10.4531709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 + 6 = 0. Let s = 15 + z. Suppose 5*i - 2*i = s. Is i less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j + 38*j - 22*j + (5*j - 4*j - 2*j)*(-1 - 3 + 2))*(-j + 2*j - 2*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 4*g + 4*g)*(-9*g + 4*g - 4*g)*(-3*g**2 + 2 - 2).\nAnswer: -54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102525349 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 2039, 4564, 8097, 12638?\nAnswer: 18187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 5*g + 5. Let f be b(5). Let y(v) = v**3 + 0*v**2 - 3 - 10*v**2 - 9 + v. Let s be y(10). Put -5, f, s in decreasing order.\nAnswer: f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431663683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (67\/(-4))\/(24\/96). What is the common denominator of -25\/3 and (-4 + -1 - 900\/l)\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29055929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibb when three letters picked without replacement from {i: 1, y: 8, b: 2, r: 7}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1309*g - 1304*g - 11 = 2*x, 5*x = 7*g - 11. Factor -2\/5*o**x + 28\/5 - 2*o.\nAnswer: -2*(o - 2)*(o + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (11 - 3) + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddllpdplldddldplp. Give prob of picking 2 d.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/5 + 1876*x**2\/5 + 11148*x\/5 + 16668\/5 = 0.\nAnswer: -463, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-1995)\/1053) - -2. Let f = 4\/19 + g. Which is the second smallest value? (a) 1\/3 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:43 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (-71 + -5 + 34)) + 0 + (-1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpckvdk. What is prob of sequence kpk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w**4\/10 - 4*w**3\/3 - 11*w**2\/5 + 12*w\/5 - 357. Factor p(y).\nAnswer: 2*(y - 2)*(y + 1)*(7*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 114 = -39. Let s(z) = 20*z**3 - 25*z**2 - 25*z. Let f(g) = 5*g**3 - 6*g**2 - 6*g. Give i*f(j) + 6*s(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + h + 6 = 0, -3*p - p = 2*h - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 41*o + 754 = 0. Let g(l) = l**3 - 12*l**2 - 10*l - 30. Calculate g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/(-18) + 1092\/45)*-3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**8\/84 - 4*j**7\/21 - 61*j**6\/15 - 124*j**5\/5 - 141*j**4\/2 - 108*j**3 - 11*j**2 - 143. Determine t, given that c(t) = 0.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j + 3. What is the lowest common multiple of 14 and 4 - (3 + j) - -8?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*t - 22, t - 2*t - 5*m = -28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -704 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1640566, 6562273, 14765124, 26249119, 41014258?\n\"Answer: 1640572*k**2 - 9*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/9*x**4 + 1\/9*x**5 - 2\/9*x**3 + 1\/9*x - 1\/9 + 2\/9*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -8\/5*b + 26 - b**2 - 2\/15*b**3. Determine v, given that s(v) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4167152361 + 2?\nAnswer: 4167152363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.15 (b) 4 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240015 + 20?\nAnswer: 240035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26917214.7714067 + -26917217. Let q = b - -2.24559. Let u = q + -0.017. Round u to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehgi when four letters picked without replacement from {h: 1, e: 1, i: 3, t: 1, g: 5}?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**3. Let c be i(1). Let k(v) = -11*v + 8*v - c*v. Let m(j) be the second derivative of -j**3\/3 - 8*j. Give k(m(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893557 is divided by 1110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 12) in base 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Let g = 3307869\/8 - 9933526063\/24024. Let q = g - 2\/273. Which is the fourth smallest value? (a) n (b) -2\/13 (c) q (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 36. Suppose v = 4*v - w. Solve -5*g - 3*f = v, f - 2*f = -4*g + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 + 3*z + 20. Let j be f(-9). Let d be j + 6 + (-3)\/(-6)*1800002. What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1)\/6 + (-339)\/642. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 12 + 44. Suppose -321 = 4*y - 997. Suppose y = 5*p - 271. Calculate the highest common divisor of p and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/5, 32.\nAnswer: 0.5, 4\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 31 - 17 = 0. Suppose -3*s = -2*f - 16, 4*s - f - 15 = -s. Suppose k + 56 = w*g, 0*g + s*g = -3*k + 48. Which is smaller: g or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -9) + (1 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-54)*6*-1. Suppose 4*q + p*d - 24 = 0, q + 5*d = 7 - 1. What is the greatest common divisor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3215, 3220, 3225?\nAnswer: 3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s**3 - 20*s**2 + 20*s - 20. Let d(p) = p**3 + p**2 - p + 1. Calculate -20*d(k) - r(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 56*v = 12*v - 168. Sort -4, -26, v, 4.\nAnswer: -26, -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14104, 28238, 42328, 56374?\n\"Answer: -22*l**2 + 14200*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595379797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1413159641 + -84782717959\/60. Let q = 114339 - v. What is the common denominator of q and 65\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770 a factor of 2128460400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1683b - 1?\nAnswer: 1683a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 1 + 19. What is the highest common factor of l and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3555*q**3 - 3555*q**3 + 14207*q**3 - 3552*q**3 - 3547*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/8*(-8)\/3. Let y = i + 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3420*t**2 + 23*t - 6. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g*g**9*g*g**7*g**1)\/((g*(g\/(g**(-2\/9)\/g))\/g)\/(g*(g*g\/(g*g\/(g\/(g\/(g*g**1)))))\/g))**(-10) assuming g is positive.\nAnswer: g**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 24 + 1. Suppose -2*a - 3*s = -6*s, i*a = -3*s. Solve -3*o + a*o = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171435 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/3 (c) 4\/32777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 998, 2203, 3848, 5909, 8362, 11183, 14348?\nAnswer: 17833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-3)\/(-2) + -2). Let x = l - -2. Which is the closest to 1? (a) -1 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 28*i - 29*i - 17 - 13, 4*i - 4*p + 56 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 15*j**2 + 51*j - 21. Let v be (-3)\/(3\/23) + (9 - 4). Calculate the remainder when 129 is divided by z(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5*g + 16. Let c = -37 - -65. What is the remainder when c is divided by j(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - s - 7. Let a be (-86)\/(-4) + (-3)\/(0 + 6). Let t = a - 5. Suppose -2*h = -2*d + 4, -t = 2*h + d + d. Give v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/p*p*p**(-2\/3) assuming p is positive.\nAnswer: p**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 5 + 187. Suppose -u*r = -94777 - 5171. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*w = 14475 - 16555 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-140))\/((-59)\/590)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6104675 is divided by 178.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1073*j - 803. Let o be x(14). Are o and 14220 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-56)\/(-12))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 4, i: 7, b: 1, k: 3, m: 4}. Give prob of picking 2 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221.36 - -217. Let p = -0.16 - m. Let v = p - 4.352. What is v rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 6304*w**4 + 86745970*w**3 - 86745970*w**3)*(w + 0*w + w) + w**5 - 3*w**2 + 3*w**2 + (-w**3 + 0*w + 0*w)*(2*w**2 + w**2 - 4*w**2).\nAnswer: -12606*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 237661*d - 5703283. Calculate g(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o**2 + 1)*(-40*o + 10*o - 4*o - 2*o - 3 + 3 + (o - 2*o + 2*o)*(-5 + 3 + 0)).\nAnswer: 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2998.73 + -3026.9938. Let n = -0.0362 + d. Round n to zero dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (16 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 619*y - 4. Let g(c) = 939029*c - 6070. Determine -4*g(p) + 6070*n(p).\nAnswer: 1214*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9671 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2591514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 27 - 27 + 2*x. Let m(d) = 3*d. Determine m(p(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 92. Suppose -5*x + 20*x - 165 = u. What is the remainder when x is divided by 4\/(-30) + 47\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 2*w - 4*w)*(6 - 5 - 7) + 1739 - 1739 + 198*w to the form g*w + j and give g.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*t + 4*b, 3*b - 147 + 132 = 0. Solve t = j - 4*g - 1 - 0, j + g - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 3*y**2 + y. Let j(w) = 3*w**3 + 13*w**2 + 25*w. Give j(s) + 5*l(s).\nAnswer: 13*s**3 - 2*s**2 + 30*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 + 4.5. What is the biggest value in 1, 2\/11, t, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 374056 from -3174178.\nAnswer: -3548234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 5659.\nAnswer: 5658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4848 - -5034. Which is smaller: q or 192?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1638 and 111\/14.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5\/8 + 705*j**4\/2 - 81693*j**3\/8 - 23604*j**2 + 104961*j\/2 + 65520 = 0.\nAnswer: -3, -1, 2, 32, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -180*w**3 + 67*w + 68. What is g(-1)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38548174 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)\/(b**4\/b)*b**(4\/3)\/b**(-4) assuming b is positive.\nAnswer: b**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsssvssss. Give prob of picking 1 v and 3 s.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 44. Solve 3*q + 5 = 5*z, -5*z - h*q + 5 = -35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, m: 1, c: 9, o: 1, j: 1, z: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:49 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880044.\nAnswer: 2, 71, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351986779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 - 8*d**2 - 7*d - 8. Let g(c) = 3*c**3 + 4*c**2 + 4*c + 4. Let v(l) = -5*g(l) - 2*k(l). Determine v(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 3. Suppose -5*w + 30 = -s, s - w + 35 = -3. Let o = s + 35. Calculate j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081067 rounded to three decimal places?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 197248632 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from {b: 13, t: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*d - 0*d - 1187 - 861 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13167 divided by 7\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 465388288 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - p + 8. Determine q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:29 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 34*v**2 + 1087*v + 12754. What is a(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120132020 (base 4) in base 2?\nAnswer: -11011000011110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/49 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((2 + 3 - -1) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0772 + 1.9228. Which is the biggest value? (a) 130 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 23. Let c be z(-1). Is (-6)\/c + 472308\/84 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952625464 to the power of 1\/2, to the nearest integer?\nAnswer: 44189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 2*o - o + (-2*o - o + 5*o)*(-2 - 1 + 5) - 4*o - 10 + 10 as b + m*o and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 + 364. Let u = -60 + w. Which is the second smallest value? (a) 3 (b) 2\/17 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 78*t - 1338. What is n(-26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxp. Give prob of sequence xxp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4851\/(-99) - (12\/10)\/((-14)\/105 + 0)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-2 - (-1 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6*(-2 - -1). Let x = -26 - j. Let z be 2\/x*(-2 + -2). Put -0.5, z, -3 in decreasing order.\nAnswer: z, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2100 = -359*v - 275 - 2651 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1122021212?\nAnswer: 1122021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let o = v + 4. Let g = o + -3. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70797 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + 13364\/4 + -3. Suppose 111*z - 106*z = n. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 84 = -4*j - 15903, -4*j = 4*u - 63196. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 123 = -4*b, b - f = -3*b + 105. Suppose 4*a = 8, 4*m - 3*a - 2*a = 10. Let o be (2\/m + -1)*-5. Solve 0 = 2*n - t - o, -n + 6*n = -4*t + b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + 1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462093999 - -1.\nAnswer: 462094000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-374)\/4*(0 - -2). Suppose 3*s + 733 = -728. Let u = b - s. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183052010 to the power of 1\/2, to the nearest integer?\nAnswer: 13530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 41 + 7 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 2. Let v(d) = 46*d**2 + 23*d - 46. Let a(s) = -46*n(s) - 2*v(s). Let r(z) = -2*z**2. What is a(r(g))?\nAnswer: -184*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*m**2 + 1 - 125*m**2 - 151*m**2 + m**4 as w*m + c*m**4 + l*m**3 + k*m**2 + i and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3741)\/58*3\/(-1)*4. Let q = 1100 - k. What are the prime factors of q?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403697261 to the nearest integer?\nAnswer: 20092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318178072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595129872 to the nearest integer?\nAnswer: 24395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 422323 (base 5) in base 4?\nAnswer: 3130020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -2.2. Let k = 5.6 - 6. Let b = k + i. What is the third biggest value in b, -1, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*a - 5*l + 9*l, a + 2*l - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -148087a (base 12) to base 14\nAnswer: -79db78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 12*h + 11 - 17 - 3*h**2 - 5*h**2.\nAnswer: -8*h**2 + 12*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3516 (c) -2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 21888*l + 219180.\nAnswer: -3*(l - 10)*(l + 7306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4047 (base 9) to base 5\nAnswer: -43314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/s)**(-18\/11)\/(s**(-2\/3)\/((s\/(s**(2\/7)*s*s)*s)\/s)) assuming s is positive.\nAnswer: s**(281\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(99) - (sqrt(99) - (-3*sqrt(99) + -5 - sqrt(99))))**2*-2 + 0.\nAnswer: -3223 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - sqrt(125)) + sqrt(128) + -1.\nAnswer: -1 + 31*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**9\/60480 + r**6\/72 + r**5\/20 + 6*r**2. Let m(y) be the third derivative of c(y). Differentiate m(b) with respect to b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 + 8*d - 4. Let w be l(8). Is (-11)\/(((-4)\/(-37))\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27933 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 27*v**3\/7 - 64182*v**2\/7 - 5302179*v\/7 + 852930 = 0.\nAnswer: -81, 10\/9, 2457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.302 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -12, 22930 in increasing order.\nAnswer: -16, -12, -4, 22930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6 - 5*i + 10*i - 2*i. Let z(l) = -4 - 473*l + 3 + 231*l + 234*l + 10 + 8. Let d be 2\/7 - 52\/(-14). What is d*z(y) + 11*f(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a71c (base 14) in base 3?\nAnswer: 1120110012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 0*q**3 + 0*q**2 + 3*q**2 - q**3.\nAnswer: -q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k**2 + 26 + 2 - 30 to the form o*k + m*k**2 + x and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 9. Let l be (-5)\/(-30) + (-106)\/(-12). Let j = k + l. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l - 4. Let b be s(0). What is the biggest value in b, 0.2, 3, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 34 + -44 + 10 + -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**3\/19 + 11427226*h**2\/19 + 5440893681090*h\/19 - 1813632496722\/19 = 0. Calculate h.\nAnswer: -952269, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:24 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 8)*(d + d - d**4 + 2*d**4).\nAnswer: -d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwjqjvqwwjhv. What is prob of sequence vjv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193 or 189?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(2) + 0 + sqrt(2)) + (sqrt(8)\/sqrt(4) - sqrt(2))*-5)**2 + sqrt(128)\/sqrt(4)*-1*6.\nAnswer: -24*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -77, -123, -221, -389, -645?\n\"Answer: -3*d**3 + d**2 + 6*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.23 and 4?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6002684 to the nearest integer?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002866 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*g + 1 - 5, 5*l + 10 = 4*g. Suppose -29 = -5*u - 5*d + 6, 3*u + d - 29 = g. Calculate the lowest common multiple of 8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 17 = 4*h + 2*n, -22 = 5*h + 3*n. Let q be 4*1*(-5)\/h. Let k = 1.86 - -0.14. What is the closest to 1 in 2\/9, k, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715 (base 12) in base 7?\nAnswer: 45134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 30 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/40*s**6 + 0*s**3 + 0*s**5 + 0 + s**2 + 0*s + 0*s**4. Factor v(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1161.83 + -1200. Let t = k + 38. Let b = t - -0.1700022. Round b to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 + 7 + 4\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7720 is divided by 2526.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 2*z - 2. Let r(t) = -t - 6. Let a be r(-6). Let g = 2 + a. Does 5 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -4 (c) 0.09 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357 + 29*w - 62*w**2 + 357 wrt w?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*w - 775 + 739 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(36\/30)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(72)*-2)*-2)**2 - (2 + (3 + (1*sqrt(128))**2)*-3).\nAnswer: 1728*sqrt(2) + 10903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(14\/3)\/k*k*k*k*k\/(k**35\/k)*k)\/(k*k*k**(-12))**(16\/7) assuming k is positive.\nAnswer: k**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8534?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103432621 times -0.5?\nAnswer: -51716310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 1081 + 312 = 1031 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*h**3 + 0 - 4 - h + 177*h**3 - 117*h**2 as n*h**2 + j + m*h**3 + s*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/7))**21*(n**(-5\/2)\/n*n)**(2\/95))**(14\/13) assuming n is positive.\nAnswer: n**(7168\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 119*q - 11. Let z(i) = -23 + 78 - 27 - 21*i - 3*i - 26. Determine -2*y(h) - 11*z(h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 69 - 199 = 0. Suppose -5*d + 5*g + w = g, d - 1 = 5*g. Suppose d*f = 3*f + 1515. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -482*g**4 + 9349*g**2 - 9349*g**2 + (-23*g - 8*g**2 + 23*g)*(-2 - 2*g**2 + 2).\nAnswer: -466*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 + m**4\/4 - m**3\/3 + 2*m**2. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**5 - 18275*o**4 - 166195*o**3 + 4820635*o**2 - 9069610*o + 4433440 = 0?\nAnswer: -22, 1, 11, 3664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 - 23*z**2 + 12*z - 12. Let f(u) = -5*u**3 + 12*u**2 - 6*u + 6. Let l(j) = -7*f(j) - 4*t(j). What are the prime factors of l(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 52*f**2 + 572*f - 73. Let d be v(-16). Sort 22, -5, 1, d in ascending order.\nAnswer: d, -5, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 22*v - 140. What is the hundreds digit of n(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000551342 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.08\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from thwhwdhrhhhwdhwtdhh?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 - z - 30. Let s = -3 + 8. Let x(w) = -7*w**2 - w - 31. Let b(t) = s*x(t) - 6*h(t). What is the units digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p, j + 13*p = 15*p - 6. Solve m - v = -2, 0*v - v + j = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (-176)\/(-30)) + 7049\/(-10140). Let c = y + 2\/169. Find the common denominator of c and 31\/78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 2501 - 1621 = 12*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {j: 4, h: 2, n: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.15, 1\/10, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 4*f**4 - 3*f**2\/2 - 4716. Let z(m) = m**3 + m. What is -u(p) - 3*z(p)?\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80, -158, -234, -308, -380, -450?\n\"Answer: u**2 - 81*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*i**3 + 1151*i**3 - 575*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7\/27, -20, -35, 1\/3.\nAnswer: -35, -20, -11, -7\/27, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - -30.2. Let h = d + -30. Let z = 0.1 + 0.1. Which is the nearest to 0? (a) z (b) h (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + u - 5*u = -4, -2*u = 3*k - 10. Suppose -5*w = -k*w - 84. Suppose -5*d - r = -60 - 110, r + w = d. Is d < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19897*m + 394 - 728 + 334 + (m + m + 0*m)*(2 + 0 + 0) as o*m + l and give o.\nAnswer: -19893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let n(l) = 19*l - 3 - 22*l + 0*l**2 - 2*l**2 + 3*l**2. Let o(s) = -2*c(s) - n(s). Calculate o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2340 and 2332 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (148 + -131).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.01913 hours to days.\nAnswer: 0.04246375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2513\/4 + 643. Let n(a) = -2*a + 4. Let i be n(-3). Find the common denominator of 27\/i - (-4)\/2 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((40\/12)\/5))\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399064 and 2656.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:14 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*n**3*y + 520874*n*y - 28068662*y wrt n.\nAnswer: -81*n**2*y + 520874*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*y**3\/3 - 2336*y**2\/3 + 66788*y\/3 + 27848.\nAnswer: 4*(y - 59)**2*(5*y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-1 + 5)*4*-5)**2.\nAnswer: -48000*sqrt(7) + 413200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 26. Let h be y(14). Suppose -1 = -f + h*l, 2*f - 4*l = -f + 7. Let d(q) = -2*q - 3. Let b be d(-3). Solve f - b = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 10*i + 13. Let n be f(9). Let u be ((-6)\/n)\/(3\/4). Let m = 4 + -9. Put 3, m, u in decreasing order.\nAnswer: 3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2509?\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194, 191, 188, 185, 182?\n\"Answer: -3*g + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iana when four letters picked without replacement from {q: 2, a: 3, n: 1, r: 1, z: 1, i: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -27, -799\/5 in descending order.\nAnswer: 2\/11, -27, -799\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhhhjph. What is prob of picking 1 p and 1 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28069 divided by -44\nAnswer: 28069\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Suppose 0*v - 12 = -u*v. Suppose 2*d = 4*q - 0 + 6, 5*q = -d + v. Which is the second biggest value? (a) q (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -11. Let o = v + 27. Suppose 4*z - 53 + o = 0. What is the greatest common factor of z and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 5*m + 3. Let z(a) = -17*a - 14. Let c be z(-5). Let l = 80 - c. Let w be q(l). What is the highest common divisor of w and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0311 in -3, 4\/23, -2, 6, 3\/2?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, f: 1, m: 5, z: 2}. Give prob of sequence tmb.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/9, 0, -4 in ascending order.\nAnswer: -4, -11\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 6*m - 188. Suppose -5*o - r = 4*r - 130, 2*o + r = m. Suppose -25 = -5*q, -q + 6*q - o = -p. Solve 4*v + 15 = -p*z - 16, 11 = v - 5*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, 0.5, -16131?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-6)\/106) - -3. Suppose 4*i - 44 = -2*n, 7*n - 12*n = -4*i - 152. Suppose 34*j - 33*j = n. What is the greatest common divisor of g and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084897 divided by -162363?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*j - 2 = -12, 4*l = -j + 35 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 757*d - 91742. What is s(117)?\nAnswer: -3173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 533*j - 1289*j + 1354*j + 1379*j + 944*j + 1501*j**2 wrt j?\nAnswer: 3002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 21. What is the nearest to j in -4, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h - 174 - 324 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 7*x**2 + 5*x + 7. Let t(b) = -b**3 + b**2. Let r be t(1). Suppose -14 = -r*w - 2*w. Is 16 a factor of m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21427 - 685725\/32. What is the common denominator of x and (1785\/(-7728))\/((-235)\/(-188))?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196113 = -5*t + 234*c - 236*c, -t + 39213 = 10*c. What is the highest common factor of t and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.864 less than 325225.88039?\nAnswer: 325228.74439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 384 + 328 = 0. Let x = -86 + j. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyryyyyyyry. Give prob of picking 1 r and 3 y.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6198 or -1568\/3?\nAnswer: 6198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4bb (base 12) to base 2\nAnswer: 1011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiviiiv. Give prob of picking 1 i and 1 v.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 5*k**5 - 2*k**5 + (2*k**2 - k**4 - 2*k**2)*(3 + 2*k - 3) + (-5*k**2 + 6*k**2 + 8*k**2)*(20*k**3 - 3 + 3).\nAnswer: 179*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 + 6 - 14 - 8*x + 8 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7730\/9276*(-828)\/15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10362 is divided by 3454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/83 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/135 + 148\/36. Calculate the highest common divisor of q and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83, 33, -243, -859, -1929, -3567, -5887, -9003?\n\"Answer: -19*z**3 + z**2 + 80*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-108)\/(-1008))\/((-6)\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 - 2*h - 1. Let q be l(-3). Let f = -78 - -84. Let u be 7 + (-36)\/f - -11. Solve 2 = -w + v, q*w + v - u = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 400\/2079 + -2\/189. What is the second biggest value in -2\/7, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*x**2 + 33*i**3 - 2*i**2 - 114*i*x**2 - 2*i*x wrt x?\nAnswer: -4*i**3 - 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(125)*-1 + -5)**2 - (-2 + sqrt(125))*-6*-6.\nAnswer: -130*sqrt(5) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*h**4 - 30*h**4 + 2*h**5 - 3*h**3 + 3*h**5 + h**5 - 2*h**5 + (2 - 1 - 3)*(-h**5 + 2*h**5 - 2*h**5) + h**5 + 0*h**5 - 3*h**5 + 4*h**5 - 4*h**5 - h**5.\nAnswer: 3*h**5 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 + -214. What is the least common multiple of o and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038074 rounded to four decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p - 641*p + 188*p + 197*p + 195*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17e - 10924?\nAnswer: -10aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1004, 2016, 3028, 4040, 5052?\n\"Answer: 1012*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 4*s + 2. Let f be w(4). Suppose -f*x - y + 22 = 0, 2*x + x - 5*y - 59 = 0. Let q = -4 - -82. What is the highest common divisor of q and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688c1 (base 14) to base 11\nAnswer: 163a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = -5*l + 6*t, -6 = -2*l - 2*t. Let r = -2403 + 2405. Which is the closest to 3\/5? (a) l (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7)*t**(-17))\/(t**(-7\/6)*t)**(1\/9) assuming t is positive.\nAnswer: t**(-6257\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Sort 4, -0.2, -2\/7, m.\nAnswer: m, -2\/7, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**2 + a - 5. Suppose 0 = -x - 2*x. Suppose -5*k = -x - 20. Let d be ((-3)\/9)\/(k\/24). Let w(s) = 4*s**2 - 2. Calculate d*t(o) + 5*w(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*g = -86, -4*g + 8*g + 227 = -5*t. Let h = 80 + t. What is the greatest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (1*sqrt(147) + sqrt(147)))*6)\/((sqrt(108) - (sqrt(108)*-1 - sqrt(108))) + sqrt(108)))\/(-2*sqrt(448)*4*-6).\nAnswer: -sqrt(7)\/1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.6 + 13799481127.8?\nAnswer: 13799481097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -22761*x + 1001482. Calculate m(44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*51\/(-19635)*(-5)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 8*y**2 - y - 10. Let z be v(-5). Is ((-285)\/z)\/(-1*2\/102) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*h**3 - 7066461*b**3*h + 25942*b**2*h + 27*b - 2*h**3 + 2*h wrt b?\nAnswer: 36*h**3 - 42398766*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(11) + sqrt(11)*-3 + 5 + -1 - (-2*sqrt(44)*-1)\/(sqrt(44)\/(sqrt(11) + -3*sqrt(11))).\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 5*l - 2. Let m be -12*(-1 - 1\/(-2)). Let x be u(m). Find the first derivative of 4 + 4 - 2*q + 3*q - x wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*u**2 - 37*u**3 - 338*u**2)*((-4 - 1 + 4)*(u + 2*u - 6*u) - 11*u - 24*u + 4*u).\nAnswer: 1036*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 15) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145867 is divided by 486?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 1, m: 6, h: 7, e: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1161 + -1155. Sort 31, m, 1 in increasing order.\nAnswer: 1, m, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-98)*7*90\/(-195)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:24 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = p + 28, 3*c - 4*p = -5*p + 84. Solve 4*a = -1 + 13, a = 5*b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1726 and 137700280?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**4 + 47*l**3 - 48*l - 41 wrt l.\nAnswer: -36*l**2 + 282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 34*c**2 + 38. Suppose -3*m - 49 = -151. Let d be q(m). Calculate the greatest common factor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -63, -72, -83, -96, -111, -128?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-832)\/660)\/(-4) - (-4)\/(-30)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g**3 + g**2 - g - 1. Let z be j(2). Let x be 4*(z\/28 + 4). Is x greater than -2\/1403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 1 + 0 - 3 + i. Let p(c) = -c**3 + 4*c**2 + 4*c. Let r be p(5). Let u = r + 0. Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggguggu. What is prob of sequence gug?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 697 + -693. Suppose 4*s - 3988 = -t + 1519, -h*s - 3*t + 5497 = 0. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8249 = -578*h - 1444 + 4177 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 3) to base 9.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 19122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2949215470 to the nearest integer?\nAnswer: 54307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417832090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 - 5 = 2*w, -5*w - p - 10 = 0. Let u be 114\/27 + -4*w\/(-54). Let h be (80\/(-140))\/(u\/(-14)). Is 15 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:15 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 25*s**2 + 103*s - 101*s - 67*s**2. Let h(c) = -14*c. Determine b(h(i)).\nAnswer: -8232*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*r + 2*r - 8, -9 = 3*n + 3*r. What is the smallest value in -0.5, -1, n, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*j + 4. Is (249\/6)\/((-2)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(931)*-5 - (1 + 1*sqrt(171) + 0))**2.\nAnswer: 426*sqrt(19) + 862012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 20*b = 4*i + 18, 3*i + 4*b - 3 = 0. What is the third smallest value in i, -462, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457 is divided by 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 144*z - 1716. What is p(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 1.615. What is w rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44 - 44 - 9*-103. What is the highest common divisor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*p + 0*p = 10, 2*k + 5*p = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50517208 to the nearest integer?\nAnswer: 7108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (1\/1 - 0). Let w(o) = -15*o - 4*o + 20*o. Let l(t) = -5*t - 1. Determine z*w(s) + l(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 722 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -344?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127915 is divided by 132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*((-50)\/(-75))\/(4\/(-6)) - -9. Suppose 5*r = v - 25, 6*v = 3*v + 3*r + 15. Put b, 4, v, -5 in decreasing order.\nAnswer: 4, v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22902?\nAnswer: 2, 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 17 = -5*t, -6*t - 6*t + 19*t - 31 = 5*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-132)\/108577)\/(10\/(-35))*17\/(-34) and 51\/4.\nAnswer: 62044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*x + 5, -12*q + 8*q = 3*x + 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130251469, -260502934, -390754397, -521005858, -651257317, -781508774?\n\"Answer: g**2 - 130251468*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1395, -2785, -4165, -5529, -6871, -8185, -9465, -10705?\n\"Answer: d**3 - d**2 - 1394*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 304\/99 + -26\/9. Let b be 6\/9 - 6\/(-9). What is the closest to 0.1 in -2\/7, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + g = 2*h + 6, -3*g = 5*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613043 to the power of 1\/2, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471199377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 2. Let w be n(2). Suppose 0 = 6*q - 11*q + w. Solve -z = 3*z + 2*g - q, 15 = -4*z + 5*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17022357 to the power of 1\/2, to the nearest integer?\nAnswer: 4126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-8 + -73 + -4)) + 3?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/15 + s**4\/6 + 28*s**3 - 3*s**2 + 327*s. Find t such that k(t) = 0.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 4*n - 1. Let r be u(5). Suppose -3*h + 4*h - r = 0. Solve -i = m + h, 0*i = 4*m + 3*i + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2172*c - 1330*c + 825*c - 738*c. Let h(r) = r**2. Calculate h(f(p)).\nAnswer: 11662225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/(12\/8)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5516 minus -0.3?\nAnswer: -5515.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-1 + (-154)\/(-10)). Which is bigger: -16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093 times -0.3?\nAnswer: 327.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -96. Let f = -13528.5035967 + 13455.50359. Let w = q - f. What is w rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 536 - 493. Suppose 36681 = b*y + 7011. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.94*-3.\nAnswer: -14.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-416)*-6*2\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 13*k + 68. What is j(0)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*f + 66 + 8 + 396*f + (-2 - 2*f + 2)*(4 - 5 - 1) to w*f + y and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 6*p - 74. Suppose -12 = 3*u, -u = 5*y + 28 - p. What is the least common multiple of y and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1056 and 0.4595?\nAnswer: 0.3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 25, -10*v - 5*h = 480 - 975 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 12*q**2 - 11. Let s be f(-6). Let g(w) = -w**3 - 13*w**2 - 27*w - 8. What is the tens digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -2.8, -7, -0.02247 in decreasing order.\nAnswer: 0.2, -0.02247, -2.8, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104427775 by 1076575.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3627 (b) 637 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqgjqmwwjw. What is prob of sequence gwmb?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/15 + 7*w**4\/6 - w**3\/6 - 762*w**2. Give h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)\/(t*t**(2\/11)))**6 assuming t is positive.\nAnswer: t**(-189\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.2, 0.1, -2, -2\/40817?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -222420331?\nAnswer: 222420341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 3*d - 1. Give z(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -96631 and -96631 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 - 892*v**2\/5 + 188969*v\/5 + 2394348\/5 = 0.\nAnswer: -1067, -12, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 665909788*a**2 + 63438750.\nAnswer: 1331819576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x**2 + 4*x**3 + 1 + 17*x + 0 + 8*x**2 + 3*x**3 - 6*x**3 to u*x + c + s*x**3 + p*x**2 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38044*k - 421201 = -41525*k for k.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10540.456442 rounded to 0 decimal places?\nAnswer: -10540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 53*k**6\/120 + 3*k**5\/4 + 55*k**2. What is the third derivative of g(j) wrt j?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*z + 310, -3*z = -3*j + 2*z + 186. Let a be (-18)\/42 + j\/14. Solve m = -m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.05739m in millimeters?\nAnswer: 7057.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261 + 838 = -47*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 26 - 17 = 0, -w - 12 = -4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 68403370?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*u*z**3 + 2707*l**3*u + 3*l**2*z**2 - 3*u*z**2 - 3*z**3 wrt l?\nAnswer: -12*u*z**3 + 16242*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(0 + -2) + (15\/4)\/((-5391)\/(-8386)).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 87896 divided by -2\nAnswer: -43948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -49 (c) -1\/7694 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i\/i**1)*i))**(7\/9)\/(i*i**(-5)*i**(2\/13)) assuming i is positive.\nAnswer: i**(359\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 90*b**2 + 4*b + 3. What is the thousands digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 128?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 3. Let w be i(2). Suppose 0 = b - w*b. Suppose b = 3*q - 7 + 1. What is the least common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30348018 divided by 10116006.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1928 - -0.0928. What is the fourth biggest value in -1, t, 3, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566964 is divided by 10903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1128165*a**2 + 12950*a + 2 wrt a?\nAnswer: -2256330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = -3*d - 2162, 3*g = 4*d + 1306. Let y = 951 - g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24339745 divided by 24339745\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*t - 9 = 0, -x = -t - 1 - 6. Let y be 1\/((-1)\/(x*-2)). Let b = 9 - y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2691 and 104.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13083\/1246*(-248)\/(-70)*(-30)\/9?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 0.7. Let g = 14 + -9. Sort g, 2\/21, f in ascending order.\nAnswer: 2\/21, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:21 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 6*t + 3*p - 19, -t + 3*p = 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnmnm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320415 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssts when four letters picked without replacement from tsstssxtxxxssstts.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 - 175. Let z = 79 - p. Let s be 5 - (2 + (3 - 4) + z). Solve 0 = 3*j - 3*g, -j = -2*j + s*g + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:51 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13926 - 13918. Which is the third smallest value? (a) 2 (b) t (c) -11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8855027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 3, f: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -10 + -1 + 22 + 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3231 (base 6) to base 16\nAnswer: -2e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17525869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.926 - 29.926. Which is the nearest to 2? (a) j (b) 0.1 (c) -5\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*y + 4*a + 24, -2*y - 2*a = 0. Suppose 0 = -d + y*d. Suppose 2*g + 64 = -d*w + 4*w, 0 = -4*w + 4*g + 64. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162.358 or 337?\nAnswer: -162.358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520.402 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 3. What is o(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 182823444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -37*p - 42*p + 4 + 78*p. Suppose 2*f - 10 - 15 = -5*m, -3*m = -2*f - 15. Calculate c(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7389600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-44)\/(-198))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - ((-6 - (-1 + -1 - 5)) + 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233 or -239?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 1, f: 4, e: 1, a: 4, b: 3}. Give prob of picking 1 k and 1 a.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-3)\/1410)\/((-5)\/(-10)). Let v be (-6)\/(-27) - (-6)\/(-27). Which is greater: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.7. Let q = c + 1. Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20410 - 2?\nAnswer: -20412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.5241 or 0.036?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.61666 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - p**2 - 26. What is the remainder when 94 is divided by h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 15, 0, 1\/4, 0.15, -554, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:35 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 17*z**2 - 17*z**2 + (2 + 2*z - 4*z - 1 + 3*z**3)*(4*z + z - z).\nAnswer: 13*z**4 - 8*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -204*a**3 + 5529 - 1311 - 73*a**2 + 73*a**2 - 1227*a**3 wrt a?\nAnswer: -4293*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4868, 5239, 5610?\n\"Answer: 371*w + 4497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 7412111*i\/3.\nAnswer: i*(i - 7412111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:18 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 + 8*b**3 + 25*b**2 - 284*b + 420 = 0.\nAnswer: -6, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2627537859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -6021, 4, -3, 3.\nAnswer: -6021, -100, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 7646 (base 11) to base 14\nAnswer: 396d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:07 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/4 + 24411*b\/4 - 6507513\/2 = 0. What is b?\nAnswer: -24933, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 293410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -309477 or -309478?\nAnswer: -309477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20241 rounded to the nearest 100?\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 6. Let p(l) be the second derivative of l**2\/2 - 14*l + 8. Let n = -14 - -19. Suppose -n*j + 3*j + 2 = 0. What is j*t(i) - 4*p(i)?\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -29*b**3 - 5*b**2 - 5*b + 1. Let i be 24\/(-84) - (-24)\/(-14). Is a(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 2*b**3 + 2*b**3)*(-12 - 6 + 0) - 4*b**4 + 3*b**4 + 2*b**4.\nAnswer: 19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 4, 9, -5.\nAnswer: -11, -5, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3820\/13 - 294. What is the second biggest value in -4, -2\/7, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719779.517 rounded to the nearest 1000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*n = -16, 4*n - 11 - 5 = 0. Suppose 4*q = t*p - 152, -25 = -p - 2*q + 22. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.5 + -30.68. What is the nearest to -2\/3 in -4, h, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1917 - -69671\/19170. Find the common denominator of o and 51\/355.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + t + 1 - t + t - t - 2*t - 2 + 2 + (-3 + 0 + 1)*(2*t - 3*t + 3*t) - t + 4*t - 2*t - t - 2 + 2 + 1 - 1 - 2*t - 3*t - t + 7*t - t - 7*t - 5*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000 - -1100110001?\nAnswer: 1010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66181 or -66182?\nAnswer: -66181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574370956 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -4 + -4 + (15 - (3 - 7)) + -5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 9, k: 7}. What is prob of picking 2 u and 1 b?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 20*n - 23. Calculate the remainder when v(15) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = 9*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 2814 = 2854 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1 + 0 + 3 + 16 + s. Let u be y(-13). Solve 5*a + 1 + 4 = -4*k, -3*k = 2*a - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g + 29*g - 7*g - 3*g - 2 - 8*g. Let h be 7\/(-3)*-3*1. Let u be m(h). Sort u, 5, -1 in descending order.\nAnswer: 5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819009?\nAnswer: 3, 17, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20168?\nAnswer: 2, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 - 2*f. Let n(l) = l**3 - 8*l**2 + 7*l - 8. Let m be n(7). Let a be g(m). Solve 2*z + z = -4*h - 16, -4*z + a = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13826704, -13826706, -13826708, -13826710, -13826712, -13826714?\nAnswer: -13826716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 17830.\nAnswer: 17829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 822\/12467*(-325)\/200\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*v + 403*v + 21 = 0. Let s(h) = -21*h. What is the remainder when s(-1) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -743.36 and 584.7?\nAnswer: 1328.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582 and 74?\nAnswer: 21534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11988*n = -12031*n + 1462 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let v(w) = 114*w - 57*w - 7*w**2 - 57*w. Give c(v(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**3 - 6*y**2 + 8*y - 8. Let s(f) = 8*f**3 - 7*f**2 + 5*f - 6. Give -2*q(k) + 3*s(k).\nAnswer: 8*k**3 - 9*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let f(i) be the first derivative of -i**4\/12 + i**3\/6 - i**2 + 2*i - 2. Let b(u) be the first derivative of f(u). Calculate b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -102, -12\/53, -2\/11, 3, 1\/5?\nAnswer: -12\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 139 - 95 + 5*s - 148 - 3*s to b + h*s and give b.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 13. Let m be (8\/6)\/(14\/21). Let f be (39\/(-104))\/(h\/m). Which is the smallest value? (a) -2 (b) 1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*9\/(-1701)*(-87)\/(-145)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*r = -25, 5*r + 15 = 2*r. Let f = a + 9. Let q be (-4)\/6*(-18)\/f. Sort 1, q, -2 in descending order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 1884*k - 443279. Give h(-485).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5054.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**2 - u - 2*u**2 + 1 + 8*u**2. Let g be 3*((-4)\/(-3) - 1). Let c = 3 + -4. Let d(b) = 2*b**3 - b + 1. Give c*x(w) + g*d(w).\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**3 - b**2 - 3*b - 29. Let p(m) = -5*m**3 - m**2 - m - 17. Determine -3*d(t) + 5*p(t).\nAnswer: 5*t**3 - 2*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73662.\nAnswer: 2, 3, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 139\/8, 4\/67 in descending order.\nAnswer: 139\/8, 4\/67, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*r**4 + 13620*r - 13620*r + r**4 - r**4 - 2*r**4 + 2*r**4 + 0*r**2 + 0*r**2 + 4*r**4 - 6*r**4 + 3*r**4 + (r**4 - 2*r**4 + 2*r**4)*(5 - 5 + 1).\nAnswer: -19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1495721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -299e (base 15) to base 5\nAnswer: -241144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4 + (9 - 17) + 8 + -5. Solve p = 131*m - 139*m + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from {c: 3, q: 3, w: 1, m: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6238933 years in centuries?\nAnswer: 0.006238933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**2 + 14*h - 21. Let r(y) = 3*y**2 - y - 1. Let v = 675 - 681. Let b(u) = v*r(u) + o(u). Solve b(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + 74\/(-14). Let g = 145 - 140. Put -4, d, g in descending order.\nAnswer: g, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6970.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0513 - -15.9313. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1952, 1950, 1946, 1940, 1932?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and (-8)\/(-20) - ((2 - -5) + 3569\/(-215))?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 g when three letters picked without replacement from rbbrkrqbrbgrbkkqgbr.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s + 0*s + 4 - 5 - s. Suppose -3*n + 15 = -3*x, 4*x + 3 + 5 = n. Let b(p) = -p - 1. Give n*b(k) - 3*v(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + -5 + (88 - 51).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 2. Let s be r(-5). Suppose s*b - 2*l - 9 = 5, b + l = 8. Is 6\/(-3*b\/(-801)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1960, 13358, 43656, 102304, 198752, 342450, 542848, 809396?\nAnswer: 1151544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045081345 to seven dps.\nAnswer: -0.0004508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*t = 5*t - 13, 7 = -q + 4*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -281608 + 76586. Let u = 205021.98799813 + t. Let q = 0.012 + u. What is q rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -302.9 + 303. Let h(p) = 17*p**3 + p**2 - 1. Let a be h(1). Let c = a - 53\/3. What is the closest to 2\/3 in r, -1\/4, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -252602, -505198, -757794, -1010390, -1262986, -1515582?\n\"Answer: -252596*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 1725 + 1103. Calculate the highest common divisor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 692 + -698. Let j be (7\/(-119))\/(1\/(-2)). Which is the fourth smallest value? (a) j (b) 2 (c) 1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65951.7 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54058 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 + 35816*g**2 - 34812.\nAnswer: 3*g**2 + 71632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 2. Let h be k(-4). Let y(o) = -o**2 + o + 8. Let l be y(-2). What is the units digit of (h\/(-55))\/(l\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39919466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 250*k + 213. Let x be z(84). Are x and 7437 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1122))\/((-962)\/(-8177)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a - 7. Let p(c) = -c**3 - 8*c**2 - 7*c + 3. Let v be p(-7). Suppose d + v*d = 24. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + 11580\/42. Let p be m\/96 + 2\/16. Let q(a) = -a**3 + 3*a**2 + 4*a - 4. What is q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -202950, -202964, -202978, -202992?\n\"Answer: -14*j - 202936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 11:17 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, -18, -200, -476, -858, -1358?\n\"Answer: -2*j**3 - 29*j**2 + j + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 > -25\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 14 + -8 + 4 + (1 - 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2007.03 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.6 - -12. Let p = 9.31 + -0.71. Let d = q + p. What is the smallest value in 4\/5, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 5)*(-695 - 709 - 32*b - 30*b + 1374) to the form k*b + r and give k.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c. Let i = c - -5. What is the remainder when (-1 + -12)*(-3)\/3 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12672*v + 2 + 12657*v + 1 - 2 - 25302*v.\nAnswer: 27*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11035 (base 6) to base 11\nAnswer: -1176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419 is divided by 65?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4737.\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 35*t**2 - 36*t - 2. Give i(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 3) + (-13 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.2. Let f = -0.081 + -0.309. Let x = f - -0.49. What is the nearest to x in s, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10*l**3\/7 + 46*l**2\/7 + 26*l\/7 - 30\/7 = 0.\nAnswer: -1, 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -18?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -a. Let h = a - 1. Let o = 2 + 2. What is the greatest common factor of h and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1093832 (base 10) to base 7.\nAnswer: 12204005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -3 + 2666\/888. Let h = 3248\/555 - q. Find the common denominator of h and -31\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*q**3 + 12*l*q**2 - 6*l + 2*q**3 + 58992*q**2 + 3*q + 164177 wrt q.\nAnswer: 12*l*q + 24*l + 12*q + 117984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40a5 (base 14) to base 4.\nAnswer: 2231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-33))\/2*54*775\/(-5580).\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105161775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 10*g**2 + 19*g + 272. What is u(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (4 - (-10 - -5)). Suppose -f*z + 82079 - 26935 = 0. Let w = 124204\/9 - z. Is 15 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101462476 or 101462474?\nAnswer: 101462474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*c - 39, 85*u - 58 = -3*c + 86*u for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 14. Solve 3*a = -2*f + 8, 2*a + l = 4*a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/z**(2\/5))**(-1\/13) assuming z is positive.\nAnswer: z**(28\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - ((2 - 0) + -11)) + -5 + (2 - 7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3093001.\nAnswer: 1109, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 290203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5*c - 20, -6*p - c = -9*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -25. Let m = -8 + s. What is the remainder when 96 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -556851823 from -357.44.\nAnswer: 556851465.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = u - 19, -3*u = -3. Suppose n*d = 745 + 362. Suppose 5*v + 2*t = 360, -2*v + t = -12 - d. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*d = -46, 0 = 3*a + a - 5*d - 30. What is the remainder when 17 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(36) - (sqrt(576)*-5 + sqrt(36)))\/sqrt(12).\nAnswer: -3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(10\/(-12)) + -3. Suppose 3*p - 3 - 39 = -k*r, 2*r = -p + 29. Is (8654\/12)\/(r\/90) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16869 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-4\/7))*(r**(4\/9)*r)\/r*(r\/r**10*r)**(-4\/41))**47 assuming r is positive.\nAnswer: r**(79336\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (8 - (-3 - -3)). Let i = -1 + 13. Find the third derivative of -15*w**t - 11*w**3 - i*w**2 + w**2 + 13*w**3 wrt w.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-17376)\/(-55024))\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-246)\/32)*9\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minutes before 9:13 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 343\/35 - (-3)\/15. Solve l = 5, -b = -0*b - 2*l + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6336 - 461?\nAnswer: 5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2, 5, 2\/7, 2\/3 in decreasing order.\nAnswer: 5, 2, 2\/3, 2\/7, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29355?\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*f**2*y - 153*f**2 + 2*f*r**3*y - f*r + 2*r**3 + y wrt y.\nAnswer: -21*f**2 + 2*f*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 + -559 + ((-50)\/3)\/(2\/(-3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8312, 3 in ascending order.\nAnswer: -1, 3, 8312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-7) - 8\/(-28). Let o be i + (14\/1 - 3). Let g = -7.46 - -7.86. What is the second biggest value in 3, o, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 758 (base 13) to base 12\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7291)\/(-317) + (1 - 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 - -431. What is the common denominator of 8\/23 and r\/30*-1 + (-6)\/18?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 15) to base 16.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.5, 2\/111, -4\/5, 1423 in ascending order.\nAnswer: -4\/5, -0.7, -0.5, 2\/111, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:39 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 6. Let o be i(7). Let b = o - 10. Solve -v = -5*f, -f + b*f = 2*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103258709 to six dps.\nAnswer: -0.010326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/6, 1, -1657, -4 in decreasing order.\nAnswer: 1, -13\/6, -4, -1657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/20)\/((-3)\/6*-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98581\/9 + -11 - (-4)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-14) - (-153)\/(-1071))*27\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21026?\nAnswer: 2, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 plus -2791919.4?\nAnswer: -2792382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 23*u + 39. Let j be i(-21). Sort 14, j, -4, -1, 3 in increasing order.\nAnswer: -4, j, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 50, -17 in ascending order.\nAnswer: -17, -5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1\/22, -11, -2\/5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -637.82 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091 - 828 = -161*y + 3445 + 1970 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2977)\/229*(-5)\/(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -410.27 and -6.\nAnswer: 2461.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.95 take away -4.8076704?\nAnswer: -269.1423296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(180) + sqrt(5)) + (sqrt(405)*1 - sqrt(405))**2.\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, -48, -1\/3, 1546\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 1. Find the second derivative of 2*c + 2*c - 2*c - k*c - 8*c**2 wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -5\/3*b**3 + 0*b - 1\/15*b**5 - 11\/12*b**4 + 0 - b**2. Solve j(o) = 0 for o.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 7\/2, -49, 3.\nAnswer: -49, -16, 3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2851, 11425, 25739, 45811, 71659?\n\"Answer: 3*g**3 + 2852*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 40 = 0, -8*w + 2*p + 20 = -16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24497220.\nAnswer: 2, 3, 5, 11, 37117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2009904, -8039611, -18089122, -32158437?\n\"Answer: -2009902*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292\/1727 - -2\/157. Let u = 4\/333 - 1015\/1332. Which is the nearest to 0? (a) 0.2 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 - 3*s + 74*s**5 + 33*s**5 - 16*s**5 - 3*s**4 + 68*s wrt s?\nAnswer: 1820*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.093366mm in nanometers?\nAnswer: 3093366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2, -3, -22, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - r = -1046, -4*r + 704 + 330 = 5*t. Suppose -18*y + 25*y - t = 0. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 d, and 1 n when four letters picked without replacement from rndrsrrsdressnddnswr?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhhbfbbbhbbb. Give prob of picking 1 b and 1 f.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3800 - -3?\nAnswer: 3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4289 - 4267. Suppose -2*j = 4*i - 792, -2*i + 835 + 749 = 4*j. Calculate the greatest common factor of j and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 17. Find the third derivative of 2*q**5 + 95*q**2 + n*q**5 - 87*q**2 wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -36, 1.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let l = f + 0.94. Let g = l - -0.36. Which is the closest to 0.1? (a) g (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230021112 (base 4) to base 2.\nAnswer: 101100001001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227376168 divided by 4.\nAnswer: 56844042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011110010011 (base 2) in base 9?\nAnswer: -33670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1040 - 1034. Let q be 245\/(-70) - 6\/4. What is the smallest value in -1\/26, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936*r + 34 = 1940*r - 2*f, -r + 4*f + 75 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d**2 - 6*d**2 + 47*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 40 = -2*p - 2*b + 5*b, 25*p - 27*p + 9*b = -80 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*h**3 + 73 - 73 + (h**2 - h**2 + h**3)*(-4 - 2 + 7).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 30858?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 740\/518*(-280)\/100 - -48.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y - 28*y - 168 = -4*y. Let j = -0.41 + 0.01. Let i = 4.6 - j. What is the third smallest value in y, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/(4\/(-6)). Suppose 2*j = 2*k - 7*k - 10, -4*j - 20 = -2*k. Suppose k*t - 3*t - v + 115 = 0, -r*t = -2*v - 66. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15 = -a - 1, 2 = a. Let v(d) = -2*d - 3. Let j be v(g). Solve -j*t + 3 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*k + b = 27449, -5*k - 2*b = -15248. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 295*y + 2*y**2 + y**3 + 10*y**3 + 293*y + 2*y**4 - 2 as j*y**4 + x*y**3 + m*y**2 + c + v*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291831647\/84 + -3474231. Let r = b + 836\/21. Calculate the common denominator of -101\/10 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a + 11. Let l(z) = -6*z + 4. Calculate 8*l(q) - 3*s(q).\nAnswer: 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhlhhhlhhhhhhhh. Give prob of sequence llh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918479 to the power of 1\/2, to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-226)\/3)\/(-2 + 30\/18). Suppose -u = -28*k + 26*k. Calculate the least common multiple of 6 and k.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (sqrt(176) + -2 - (sqrt(11) + sqrt(1584) + 0 + sqrt(1584))) + -1)**2 + -2.\nAnswer: 168*sqrt(11) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*i + 7. What is the derivative of -5*j**3 + 59*j**i + 5*j**3 + 10 - 57*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 52 = 2*f + 454, 0 = 4*v - 3*f - 536. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 29 = 5*u, 30*u = 26*u + 2*a + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55479 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 28 = -4*u, u - 23*r + 19*r = 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.095 - 0.091865. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -263, -270, -279, -290, -303, -318?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/5, -77, 1.14, -20?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 3. Let r be n(-3). Suppose -78 = r*k - 5*k. Let o = -17 + 43. Calculate the greatest common factor of o and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/(n*n\/(((n**(-8)\/n)\/n*n)\/n)*n)))\/n*n)\/n)\/(n*n**(-7))*(n*n\/((n**0*n)\/n)*n*n)\/((n*n**(-2\/7))\/n) assuming n is positive.\nAnswer: n**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133149286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1426*y**2 + 25*y + 417*y**2 + 46*y wrt y?\nAnswer: -2018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 14\/5, -5 in decreasing order.\nAnswer: 14\/5, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**2 + 6*g**2 - 5*g**2)*(-4*g + g + 4*g) - 2 + g**2 + 3 + g**3 + g**2)*(6 - 3 + 2).\nAnswer: 15*g**3 + 10*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 37 + 49*s**2 + (0*s - s + 2*s)*(42 - 36 + s - 3*s) to r + l*s**2 + u*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -a6280b?\nAnswer: a62809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -59\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**4 + 6*j**3 + 6*j**2 + 4*j - 5. Let f(q) = 5*q**4 - 5*q**3 - 5*q**2 - 3*q + 4. Let t(a) = 5*f(a) + 4*v(a). Determine c, given that t(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 s when four letters picked without replacement from {j: 3, e: 4, s: 9, a: 1, b: 2}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34052, 137644, 310312, 552068, 862924, 1242892?\nAnswer: 1691984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1614060 and 1106?\nAnswer: 127510740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**7\/10080 + g**6\/576 + g**4\/12 - g**3\/2 - g**2 + 6. Let n(u) be the second derivative of y(u). Factor n(f).\nAnswer: -f*(f - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 17 = -2*y, 0 = -0*u + 3*u - 2*y - 7. Let f = -0.8 - -0.6. Which is the closest to -0.1? (a) u (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 26*z**2 - 297*z - 12. Calculate t(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 20. Suppose -4*l - x*r + 32 = 0, -4*r = -0*l + 3*l - 28. Suppose 0*f = f - l. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12322029 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12371\/30 + -413. Let w = o - -2\/15. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 at most -679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-0.14.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2459, -19593, -66007, -156311, -305115, -527029, -836663?\n\"Answer: -2435*d**3 - 30*d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvuv when four letters picked without replacement from vuvuvuuvuuvv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 3\/8 (c) -2\/12151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -178, -242, -308?\n\"Answer: -u**2 - 59*u - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9037408 and 108128.\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 1. Let p(k) = -1. Let x(j) = -2*p(j) - 2*w(j). Let n(g) = 6*g. Give x(n(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -42. Let n(y) = -5 - 1 + o*y**2 + 0 - 18*y**2. Let r(b) = b**2 - 1. What is n(h) - 5*r(h)?\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4859532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 33*h**2 - h - 41. What is i(-33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -600, -595, -588, -579, -568?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 422642*p + 179219 wrt p?\nAnswer: 422642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*p = -82 - 6432 - 38 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02072 take away -4200.2683?\nAnswer: 4200.24758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-3)\/6)\/2. Let w(j) = j**2 + j + 8. What is the remainder when 23 is divided by w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m - 4. Let z be t(6). Let p(c) = -c**3 + c**2 + 3*c - 5. Let i be p(2). Let j = z - i. What is the remainder when 66 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/8 + 16*r**2 - 21. Let d(w) be the second derivative of l(w). Let h(x) = 20*x. Give d(h(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*i = i - 1, 2*i + 3 = -p. Suppose -4*n = 2*n - 24. Put -1, p, -4, n in increasing order.\nAnswer: -4, -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300 + 707. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5009*x**2 - 285*x + 10 wrt x.\nAnswer: 10018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-21)*((-2)\/(-6) + (-22)\/(-96)). What is the closest to -0.1 in r, -1\/3, -6.66?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -31751992*f**2. Let r(d) = -3*d**2. Calculate m(r(c)).\nAnswer: -285767928*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-4)*y)\/y**2)\/((y*y**(-2\/7))\/y)**(37\/4))**(-11\/4))**(17\/2) assuming y is positive.\nAnswer: y**(6171\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 13*b - 4*g - 276, 2*b + 516 = 4*g. Let q = b + 275. Let p(u) = u - 10. Determine p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/20 - g**4\/4 + g**3\/6 - g**2 + 28. Let j(c) = -1 - 3*c**2 - c**2 + 13*c - 6*c. Determine 6*d(q) + 5*j(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19225, -19210, -19195?\n\"Answer: 15*p - 19240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((3 - 9) + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10350506, 20701008, 31051510, 41402012, 51752514?\nAnswer: 62103016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -11*g**6\/3 + g**3 - 15*g**2\/2 + g - 139. What is the second derivative of n(m) wrt m?\nAnswer: -440*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001502541264 rounded to seven dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 291\/18 - (-3)\/(-18). Let i be (a\/(-8))\/(4\/(-6)). What is the third derivative of -3*d**2 - d**2 - d**5 - i*d**2 - 4*d**5 wrt d?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -10)*(-8 - (-735)\/84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*d + 492. Let l = -14 - d. Suppose -7*c = -4*c - l. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -1.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 - 4832*x**4 - 1325400*x**3 + 92876256*x**2 + 6439453020*x = 0. Calculate x.\nAnswer: -627, -45, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 19.1. Let t = -1 - v. Let j be ((-27)\/(-63))\/(0 - 1). Which is the nearest to t? (a) 2\/21 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4 = -t + 5, 0 = -5*o - t + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29949 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 3302.5?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286261?\nAnswer: 293, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 - -3. Let a = -0.02 - s. Let v = 0.08 + a. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2 - f**2 - 4*f - 14*f + 17*f + 0*f**2. Suppose 3*d - u = 8 - 22, 0 = 3*d + 5*u - 16. What is t(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 - j**5\/10 - 5*j**4\/12 - j**3\/2 + 8*j**2. Calculate the least common multiple of t(-5) and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113392065.6 to the nearest one million.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**5 - q**4 - q**3 + q - 1. Let i(f) = 6*f**5 + 54*f**4 + 194*f**3 + 2*f - 2. Let t(h) = -i(h) + 2*s(h). Suppose t(g) = 0. What is g?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2587, 2588, 2589, 2590, 2591?\nAnswer: 2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396) + 1 + (-5*sqrt(396)*2 - sqrt(396) - sqrt(396)) + sqrt(396) - ((sqrt(396) - (2*sqrt(396)*4 + sqrt(396))) + sqrt(396))*-6)**2*-6 + 0.\nAnswer: -6424758 - 11232*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 0, -2*r - i - 2*i + 8806 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 2, l: 2, g: 7, e: 4}. What is prob of sequence lu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 6*o**2 - 13*o + 26. Let d be v(-8). Solve -126*z - d = -124*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8491522?\nAnswer: 2, 13, 326597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3391 by 242083.\nAnswer: -3391\/242083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -800712 * -4\nAnswer: 3202848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.32, 1.7, -5, -70?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u + 20. Let n(c) = -2*c + 1. Determine -b(r) - 4*n(r).\nAnswer: -3*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + -277 + 268.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85674984?\nAnswer: 2, 3, 47, 151, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21 or -14450?\nAnswer: -14450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1009*p**2 + 4*p + 18. Let g(y) = 252*y**2 - y - 4. Determine 9*g(z) + 2*h(z).\nAnswer: 250*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 - 4*k + 6. Let h be l(7). Let r be (-561)\/15 - (-9)\/(-15). Let z = h - r. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4206119?\nAnswer: 4206119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128682 by 6.\nAnswer: 21447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 585*z = 100*p + p - 580*z - 1414, -4*p - 9*z = -56 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*3\/(-6)*2. Suppose -6*l - 24 = -4*m - 2*l, 2*m + l - 3 = n. Which is the nearest to 3? (a) 0.5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8\/7))**(11\/5))**4 assuming a is positive.\nAnswer: a**(-352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102210 (base 4) to base 13\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -5, -6, 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.95441 + 0.09709. Let f = o - 0.0515. What is the closest to 0 in f, -3, 4, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.039754*-0.5\nAnswer: -0.019877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -313?\nAnswer: 5\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 3. Let i = -19 + 23. Calculate the remainder when 12 is divided by n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1\/6, 6\/5 in decreasing order.\nAnswer: 6\/5, 3\/7, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120039749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvv when three letters picked without replacement from {h: 7, r: 1, v: 9, o: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534760 is divided by 1224?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)*(r**(2\/5)*r)\/r)\/(r**1\/(r**(6\/5)\/r)) assuming r is positive.\nAnswer: r**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/(-195) + 1\/(-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 249, 499, 749, 999, 1249, 1499?\n\"Answer: 250*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -137?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, -0.2, -2\/7, -0.38, -3\/8, -1903?\nAnswer: -1903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 11. Suppose -2*p = -0*p + o. Let d(g) = -g**3 - 20*g**2 - 127*g - 284. Let q be d(-10). Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let q(y) = -3*y. Let r(j) = -q(j) + 2*x(j). Let a(d) be the third derivative of d**4\/8 - 19*d**2. What is r(a(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23303 (base 4) in base 7?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11120 = 4*x, -186*x - 11119 = -190*x - 5*b. What are the prime factors of x?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 15, 22?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -260*d**2 + 16*d + 33. Let t(m) = 65*m**2 - 4*m - 9. Let f(j) = -11*t(j) - 3*u(j). Let p(v) = v**2. Calculate f(p(z)).\nAnswer: 65*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 918 or 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -d - 3, 5*d = 3*r + 3*d + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 1. Let m(z) = -z**2 - 5*z - 2. Let y be m(-5). Let c be l(y). Solve 5 = -2*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/3, -0.062, -0.186?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 317 + -747. Let b = s + 458. Calculate the remainder when 334 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727614 is divided by 103841.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.09135?\nAnswer: 0.5481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 1, -663, 0.2, 0.3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v**(-1\/3))**41 assuming v is positive.\nAnswer: v**(-410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.74 - 0.64. Let s = 0.084 - -0.316. Put z, s, -4, -3\/5 in descending order.\nAnswer: s, z, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*m**2 + 4 - 2 - m**2 - 2*m**3 to h + u*m + t*m**3 + g*m**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11802\/28 - 6\/4)\/((-78)\/(-429)). What is the greatest common factor of 2730 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/23))**(2\/17) assuming q is positive.\nAnswer: q**(4\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 8321.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1.258, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 1216, 1843, 2472, 3097, 3712, 4311?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -18. Suppose -6*t = -r*t. Suppose -2*k + 6*k - 20 = t. Sort -4, k, -12, 4 in descending order.\nAnswer: k, 4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -671 - -422. Let l = -248.998981 - v. What is l rounded to five dps?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let o be (3\/2)\/((-3)\/6). Let z be 2 - -2*o\/2. What is the closest to r in z, -3, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2192 + 2193. Which is greater: -0.0631 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**(1\/2))**(-2\/37) assuming w is positive.\nAnswer: w**(-11\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*y + 140, 2*h = -2*y + h + 125. Calculate the remainder when 2817 is divided by y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11235 is divided by 11223?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nivn when four letters picked without replacement from {n: 7, i: 2, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907*t**2 + 18 + 1751*t**3 - 18.\nAnswer: 1751*t**3 - 907*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -514.284 - -5.784. Round y to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3\/3 + 1912*g**2\/3 + 1280*g = 0. What is g?\nAnswer: -2, 0, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3208*w**4 - 2727*w - 20. Let d(l) = 4812*l**4 + 4090*l + 28. Let i(r) = 5*d(r) + 7*j(r). What is the second derivative of i(a) wrt a?\nAnswer: 19248*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734878 is divided by 233?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 3)*(3*p + p + 0*p)*(2 - 9 - 3 + p) in the form a*p**2 + i + j*p and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/31)*m\/m**0)**(-11) assuming m is positive.\nAnswer: m**(-363\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 16, -2*k - 2 = -5*v - 9. Let c be (2\/(-10)*-5)\/(v\/12). Let s be (-20)\/(-5)*(9\/c - -3). Let a(f) = f**3 - f**2 - 4*f. What is a(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 506?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqqsqqwssqsqwqsqqss. What is prob of sequence wqs?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1913266, -1913257, -1913234, -1913191, -1913122, -1913021, -1912882?\n\"Answer: w**3 + w**2 - w - 1913267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 3. Suppose 2*r - k*h + 4 = 4*r, 4*h + 4 = 2*r. Is ((-43)\/r)\/(4\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 (base 8) in base 13?\nAnswer: 9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244898911 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 74663 and 223990\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 8 = 2*r, -6*r + r + 20 = -4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023.3 times 0.02?\nAnswer: -40.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2276*k + 795*k - 364*k + 155*k.\nAnswer: -1690*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41805425 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1830 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-985)\/394)\/(30\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -12. Suppose -4*b = 5*s + b - 65, 42 = 2*s - k*b. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282024 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6.8, -5189, 2\/3 in ascending order.\nAnswer: -5189, 2\/3, 3, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31726968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -196, -245, -314, -403, -512?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -101 - ((44 - -13) + -57).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 31*d - 1642. Calculate h(52).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**7\/7 - 14*u**3\/3 + 40. Find the third derivative of f(z) wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-10)\/8*2. Let t be 1 + (5 + -4 + -7 - -11). Is f bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1 - 2*q**3 - 3*q - 18*q**2 + 17*q**2 - 1. Let c be w(-2). Let z be -3 + -3 + 66\/c + 2. What is the second biggest value in 2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x + (4 - 1 - 2)*(x + x + 0*x) + 2*x - 2 + 2)*(1 - 2*x - 1).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*t + t**2 - 4 + 4 - t**4 - t**3 - 38*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - 2*p - 2. Let h be s(0). Suppose -2*i + 4*i = -10. Sort -3, i, h in descending order.\nAnswer: h, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100100 + -111111000111000?\nAnswer: -111101011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.2 (b) 5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*u - 5*n + 15, -u - n - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5864 = 5*m + 656, 0 = 4*b + 5*m - 5162. List the prime factors of b.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -27*n**2 - 2105*n - 90. Let w be s(-74). Calculate the greatest common factor of w and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeegeeegegg. What is prob of picking 3 e and 1 g?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4807230 + 4807230 - 9*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134787?\nAnswer: 3, 179, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 0*t**3 - 2*t + 36 - t**4 + 38 + 2*t**3 to y*t**3 + x*t**2 + w*t**4 + p + s*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*g - 1 + 2)*(g**2 - 3*g**2 + 3*g**2).\nAnswer: -5*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 6*s + 4095. Let m(q) = -q**3 - 19*q**2 + 57*q + 36859. What is 2*m(d) - 19*p(d)?\nAnswer: -2*d**3 - 4087","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + h - 58 + 14 - h**2 - 12*h**3 + 20 - 4.\nAnswer: -12*h**3 - h**2 + h - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -3*n. Suppose 3*g - 13 = -4*o, 5*o = 5*g + 19 + 6. Sort -3, n, o in decreasing order.\nAnswer: n, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -1.5. Let l = -0.28 - d. Let z = l - 0.12. Which is the second smallest value? (a) z (b) 0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28880?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:22 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120189 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 + 9*o**2 - 3*o**2 - 2*o**2 to t + k*o + j*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 134 - 82. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*m*y + 477*m + 5076225*y + 218620 wrt y?\nAnswer: 14*m + 5076225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19*g**2. Let l(r) = -r**2 + r + 6. Let i(j) = 6*j**2 - 4*j - 24. Let v(t) = -3*i(t) - 12*l(t). Calculate 2*d(b) - 7*v(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.092442 to 3 decimal places.\nAnswer: 1.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/28*-2 - (-80 + (-1776)\/(-24))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95915*y**4 - 6*y**3 + 155*y**2 + 32*y + 235 wrt y.\nAnswer: 2301960*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -3 (b) -0.06 (c) 595 (d) -15 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (1 - 1 - (22 + 8 + -23))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 604802 by 1486.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449003 + 707766. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 12*o - 40. What is the remainder when 37 is divided by a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0474 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 988 + 789. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/39 - 146\/(-6). Suppose -3*p + 3*j + 9 = -0*j, 5*p = -5*j + t. Let x(n) = 5*n**2 + 2*n + n**3 - 1 - p - n. Calculate x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 - 184. What is the third derivative of w**3 + 61*w**b + w**5 - 52*w**5 - 22*w**2 wrt w?\nAnswer: -3060*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a factor of 757972188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = -2*j, -4*t - 14 = -4*j + 3*j. Suppose -4*h = 5*s - 43, -h + 19 = 3*s - j*h. What is the smallest common multiple of 6 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 6*y**2 + 3886131*y**3 + 1 + 12*y - 3886131*y**3 as u*y**3 + c*y + h + x*y**4 + p*y**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + 23\/60. What is the nearest to 1 in 0, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let q = 10 - o. Suppose 3*f - 14 = q. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -904, 6, -5, 5, 4 in ascending order.\nAnswer: -904, -5, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 13) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.442 + 0.042. Let u be (-2)\/(-11) + (-8)\/44. Suppose -5*v + 2*v = u. What is the third biggest value in s, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74703, 74717, 74745, 74793, 74867, 74973?\nAnswer: 75117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 3*z + 65*z**2 - 134*z**2 + 66*z**2 + 4*z**3 - 6 in the form l*z**3 + a + j*z**2 + s*z and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7832362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21466 = 34*y - 20990 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 40 + 144 = 0. Suppose 3*z + y*j - 5*j = 3, 5*z - 5*j = 25. Solve -z*v = -4*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-8)\/6*(-168)\/(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 5. Let y(q) = 3*q + 9. Let h(r) = 5*p(r) + 2*y(r). Determine h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72933174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 11*j + 2*j + 4*j. Let g(y) = 14*y. What is u(g(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1403003 (base 5) to base 6.\nAnswer: -335543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 600849.41 days in weeks?\nAnswer: 85835.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2760 and 74290?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*z - 13587 = 612*z. Does 38 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49711 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1624 - 1625. Which is the closest to v? (a) 214 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/18*-3*8 - 1158. Round j to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-25) + (-23)\/215. Let d = l + 1793\/602. What is the common denominator of (-1)\/(((-32)\/(-220))\/(-4)) and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a1410 (base 11) to base 4\nAnswer: -1302311002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (22 - 13)) + -25.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u**5 - 732*u - 200*u**2 + 380 - 616*u**2 + 1019*u**3 + 1632*u**4 + 100*u**5 + 417*u**3 - 380*u**2 = 0.\nAnswer: -95\/7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.09, -58427, -2, -1\/2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021962 rounded to five decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184765482?\nAnswer: 2, 3, 11, 73, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 28*k + 44. Let b be n(12). Let d be b - (-1 + 7 - 145). What is the highest common divisor of d and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (30\/375*(-20)\/(-242) - -4). Is 1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/(sqrt(11)*4))\/(sqrt(9)*2*-6))**2.\nAnswer: 1\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*z**5 - 222*z wrt z.\nAnswer: 700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/42 - -1\/6. Let g = 17\/5 + -41\/15. What is the nearest to g in m, 5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 10, 5*k + 5*x + 4 = -1. Is (k\/4*3)\/((-2)\/12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*((-1*sqrt(1300)*2 - -5*sqrt(1300)*-1) + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-2))*-2 + -3))**2.\nAnswer: 2400*sqrt(13) + 1170016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(55)\/(sqrt(44)\/sqrt(4)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14631 - 5586 = -603*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -42.341?\nAnswer: 84.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:30 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -8. Let a = h - 10. Let j = a + 36. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 873 and 2328?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470 a factor of 933811050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 6.9. Let v = 8 - 11. Sort v, 0, h.\nAnswer: v, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) -3\/4 (c) -2 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**2 + 2*t**2 + 1 + 4*t**2)*(68 - 2665*t + 62 - 128) to u*t**3 + h*t + m + z*t**2 and give h.\nAnswer: -2665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9)*4)\/(41\/123). Suppose x*n + 6*n = 14. Solve w + 3*o = -n, 5*o = -4*w + 2 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 103048\/(-28) + 4*2\/28. What is the units digit of (0 + 15\/(-4))\/(60\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23652560993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337*b**3 + 222520*b**2 - 7543787*b - 19 wrt b.\nAnswer: 2022*b + 445040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 5. Let d be (12566\/(-183))\/((-2)\/(-9)). Let f = 302 + d. Determine n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let o(j) = -3*j**3 - 23*j**2 + 5. Let y(m) = -o(m) + 5*z(m). Find the third derivative of y(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by 31626.\nAnswer: 22\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 7*o - 2*o)*(-4*o - 2*o - 3*o) - 345*o**2 - 58872 + 58872.\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1 + 0)*1. Let s(w) = -w - 7. Let l(r) = -2*r - 14. Let n(g) = o*l(g) + 5*s(g). Let u(v) = -v**3 - 6*v**2 - 6*v - 5. Let i be u(-5). Give n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 + 16*f**2 - 32*f**2 + 8*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 3, d: 10, f: 3, r: 1, u: 1}. Give prob of sequence rdfv.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 262\/415 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (76 + -75)*4\/(-6)*-3. Suppose 2*o = 2*y + 2*y, 5*o - 5*y = -10. Let u = -3 - o. Solve -b - 6 + u = 3*c, -d*b = -8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2783*q - 2778*q + 8*t + 126 = -5567*q, 0*q + 4*q - t - 30 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {q: 1, m: 7, a: 6, b: 2, u: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24838683031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(3*o + 3*o - 4*o)*(3 + 2 - 3) - o + 3*o - o + (-4 + 0 + 5)*(4*o - 5*o - o) + (27 + 38 - 44)*(3*o - 2*o + o).\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from cczccccccccccczz?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12727*p - 178346. Calculate h(-14).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1711, -9\/2, -1\/5 in descending order.\nAnswer: -1\/5, -0.8, -9\/2, -1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8810 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 405 = -7*b. Let c = b + -80. Sort -3, 5, 2, c in decreasing order.\nAnswer: 5, 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -165, -236, -287, -312?\n\"Answer: g**3 + g**2 - 95*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108384596*l**2 + 222229929 with respect to l.\nAnswer: 216769192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27896 <= -27896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98297941 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwifwkiwiai. What is prob of picking 1 f, 1 w, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 10. Let x(l) = l**2 + 7*l**2 - l**3 + 1 - 5*l - 2 - 9. Let r be x(7). Calculate the greatest common divisor of r and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 1, d: 1, u: 2, v: 1, f: 2}. Give prob of sequence fvd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b = -20. Let t = -2 - b. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 1087238*r**3 - 7610534*r**2 + 18482790*r - 9785016 = 0.\nAnswer: -543612, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let g(y) = -91*y + 162*y - 89*y + 17*y**2. Determine m(g(o)).\nAnswer: 289*o**4 - 612*o**3 + 324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -16928*f**2\/3 + 184*f - 3\/2 = 0.\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 12. Let v = 4 - 2. Suppose 8 = v*s + 4*l, -3*s = -2*l - 11 - 1. What is the lowest common multiple of u and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-39253)\/(-2873) - 14)\/(0\/2 - 14) and -54\/7.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21555616.8 to the nearest ten thousand.\nAnswer: -21560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -6*h - 9. Solve -h*y - 2 = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793745?\nAnswer: 5, 158749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36785.\nAnswer: 5, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2361*h - 1614906. What is d(684)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 175\/7*12\/10 and ((-38)\/10)\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9))\/1*-3. What is the third derivative of x**2 + 0*x**3 - 2*x**3 + 5*x**u wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + 6*j - 3*j)*((-2 - 6 - 4)*(-3 + 2 + 0) + 2 + 3 - 4 - 5 + 2 + 1).\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46326*f + 10 + 46281*f - 92599*f - 10.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z**2 - 20*z + 30. Calculate the remainder when 69 is divided by v(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 8550?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309429 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: Let x(n) = n**2 - 34*n + 96. Let v be x(33). What is the third derivative of -39460*p - v*p**2 + 39460*p - 66*p**3 wrt p?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 182566*j**2 - 8307518240*j - 2289986893600.\nAnswer: -(j - 91420)**2*(j + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d + 3*d + 11*d - 69 + 72.\nAnswer: -63*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 26*r = 12*o + 24, 2*r - 9 = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(1*sqrt(11)) + (sqrt(49)\/(sqrt(7)*-1))**2.\nAnswer: sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-78)\/(-27) - (-13)\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 1 + 3 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -542. Let f = r + 483.999999061. Round f to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4 - 4)*(2*q**2 + 0*q + 0*q) + q**3 + q**2 - q**2 + (10*q**2 - 19*q**2 - 12*q**2)*(-2*q - q + 2*q) to a*q + j + y*q**2 + o*q**3 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from xbxhhxhxhhx?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 14. Let b(r) = r**2 - 13*r + 19. Let d(a) = -1. Let g(p) = -b(p) - 2*d(p). Let h be g(11). Sort i, h, -4 in ascending order.\nAnswer: -4, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, g: 4}. Give prob of picking 1 g and 1 m.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.3 and -233.93.\nAnswer: -6854.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -186, -254, -328, -408, -494?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3104 - 214?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s + 1453 - 2901 + 946*s**3 + 1459 wrt s?\nAnswer: 5676*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -621\/4180?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123760\/52*(387\/28 - 27\/(-63)).\nAnswer: 3, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2 - r + 2. Let b be v(-2). Suppose -1 = n + 2*f - b, 3*f = 5*n - 15. Suppose -4*x + 43 = -n*a, 2*a = a - 5. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725 and 3089?\nAnswer: 5328525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:14 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.45 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -497, -1098, -1933, -3002, -4305, -5842?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 268. Let q(f) = -4*f**2 - 59*f + 17. Let u be q(d). Solve 0 = u*m + 3*s, 0 = -5*m - 0*s - 2*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 - 3. Let u(n) = 63*n**4 - 4*n**3 - 4*n**2 - 60*n - 10. Let j(l) = -4*d(l) + u(l). What is the second derivative of j(g) wrt g?\nAnswer: 756*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 177381 (b) 0 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153522, -307044, -460566, -614088, -767610, -921132?\nAnswer: -1074654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420243353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c + 6. Let d(q) = q**3 + 5*q**2 - 6*q + 6. Let a be d(-6). Let b = a + -1. Calculate the remainder when r(-4) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2 (c) -1\/15 (d) -1\/5 (e) 6 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12200 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 75 - 48 - -93?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 68. Let y = t - -21. Let x(g) = -3*g + 16. Calculate the remainder when x(y) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 0, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 14*p + 34. Let c be o(15). Suppose 13 - 32 = -c*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5 - (3 + 16)) + -18 + 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 6)*(-2*a + 5 - 5) - 2*a - 2*a + 5*a)*(3 + 45625*a - 23026*a - 23232*a).\nAnswer: 1899*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 0.4 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -3*m + 6*m, 0 = -4*m + j - 23. Let w = 10 + m. Suppose -5*f + 37 = -2*z, -2*f + f - 7 = -w*z. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2003 = -1691. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.5?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + n + 31 = 38, -17 = 49*k - 3*n + 84 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - c)*(-5*c**2 + 3*c**2 + 0*c**2 + (5*c**2 + 3*c**2 - 2*c**2)*(-4 + 4 - 1)).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24167 is divided by 153.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y. Let v be (-1 - -4)*(-874)\/(-69). Let i(s) = -82*s + 41*s + v*s. Determine i(z(w)).\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l**3)\/(l**1\/l)**(1\/13)*(l**1*l)**41*(l**1)**16 assuming l is positive.\nAnswer: l**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -365 (b) 2\/7 (c) -3.625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1176\/(-49)*(2\/(-2) - -2). Let t be (-5)\/(-3) + (9 - (-232)\/g). Let n be 1\/2*3\/(-24). Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -14869\/13900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 648\/20 - 2\/5. Suppose h = t - 38. What is the lowest common multiple of 16 and (32\/20)\/(0 + 4\/t)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -650, -14684, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:18 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36))\/(37\/(-111))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/sqrt(3))*-1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -294 and -0.103?\nAnswer: 30.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -270, 19?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -26. Let k = n + 6. Which is the nearest to 0? (a) k (b) 1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -7. Let d(r) be the third derivative of r**3\/6 + 6*r**2. Let z(m) = m**2 + 12*m + 13. Let q be z(-11). Let h(i) = i + 3. Give b*d(p) + q*h(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461 or -1457?\nAnswer: -1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27203 - 5.52.\nAnswer: -27208.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2208799*g. Let f(i) = i + 17. Determine p(f(d)).\nAnswer: 2208799*d + 37549583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kkzzkkzzkkppkkkkppp.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 43 = 5*h, -40 = -5*j + 3*h - h. Let w(k) = 3*k - 15. Let v be w(j). Solve -v*x + 34 = 5*a, 1 = -2*x + 5*a - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 212250041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/5))\/c*c)**(-39)*(c**(2\/5)\/c)**19)**3 assuming c is positive.\nAnswer: c**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -21*y - 3. Let g be i(-3). Suppose -j - g = -4*j. Let r = -10 + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-13)\/(1989\/(-639625)) + (-8)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89, 0.2, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/9*c**6 - 2\/3*c**2 - 101 + 0*c + 1\/18*c**4 - 38\/27*c**3 + 22\/45*c**5. Suppose a(r) = 0. What is r?\nAnswer: -1, -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5065328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n + 18. Let s be 55\/(-10) + (-2)\/(-4). Does 6 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 13*h - 59 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 2, 2\/7, 12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 4. Which is the closest to -2\/5? (a) 2\/9 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27847896 and 96672.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 0.5, 4, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 385*l**2 + 2185*l - 1353. What is p(198)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) + 6*(-2*sqrt(11))**2)*-1 - (sqrt(1782) + (1*sqrt(1782) - sqrt(1782)))\/(sqrt(14)\/(sqrt(7)*2)).\nAnswer: -269 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 3 = -12*z, -5*z = 3*b - 1217. Let a = -400 + b. Sort -7, -3, a in decreasing order.\nAnswer: a, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 298285971*a. Let s(m) = 2*m. Give s(v(k)).\nAnswer: 596571942*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 253289 + 253295 = 2*o, -5*o = -5*m - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 82630. What are the prime factors of p?\nAnswer: 5, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**4 + 0*y**4 - 3*y**4)*(-10 + 2 - 7) + 0*y**4 + 3*y**4 - 2*y**4 to h*y**3 + g + r*y**4 + j*y**2 + o*y and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i + 86. Let b be o(10). Let l be (45\/(-25))\/(b\/(-10)). Solve 2*u - u = -a, u = -l*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuuxu. Give prob of sequence xxuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a + 7. Let q = 6 - 2. Let b(r) = q - r - 2*r - r + r. Determine 7*b(k) - 4*d(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let r(z) be the third derivative of -11*z**4\/12 - 11*z**3 + 2*z**2 + 16*z. Let v(c) = 66*q(c) + r(c). Let k(f) = 4*f**2. Determine k(v(u)).\nAnswer: 1936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -900385.72 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = -4*x + 120, 5*l - 284 = -2*x. Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let v(p) = p**2 + 14. Let t = -5 + 5. Let z be v(t). Solve -4*w + 2*d = z, w = -x*w - d - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2246620*g**5 - g**3 - 1081664*g**2 - 1 wrt g.\nAnswer: 134797200*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 208 = 877. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269125?\nAnswer: 5, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 5 = 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14505494?\nAnswer: 2, 193, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.5 and -9\/207760 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53039402 - -1?\nAnswer: -53039401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*-4*7\/(-56). What is the remainder when 42 is divided by (r - -1)\/(3 + (-48)\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 - -27?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.9. Let k = 5 - -4. Let q = -5 + k. Which is the closest to s? (a) q (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h + 2*h - 11*h + 0*h to the form p*h + x and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 8004 = -322*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 18*c**2 + 3*c + 90.\nAnswer: -3*(c - 2)*(c + 3)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -11. Let h(k) = -k. Let z be h(g). Suppose -z*c + 47 = -6*c. Find the common denominator of -92\/15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:35 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/6*(-3094)\/29393?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d + 43. Let r be k(5). Let f(t) = -t**2 + 8*t. Let u be f(r). Solve 0 = -5*l + 10 - u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 971 + 116. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160474 is divided by 1244.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + 980.95511?\nAnswer: 981.65511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590.545 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5\/9*u**4 - 24*u + 13\/9*u**3 + u**2 + 0. Factor w(m).\nAnswer: 2*(m + 1)*(10*m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -1*(sqrt(228) + -1*(sqrt(228) + (sqrt(228) - 1*sqrt(228))))\/(sqrt(120)\/(sqrt(30)\/sqrt(3)))*6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661848*u**3 + 3921*u**2 - 357?\nAnswer: -3971088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.661 seconds in milliseconds?\nAnswer: 703661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 75*f**2 - 232*f\/3 + 452.\nAnswer: (f - 226)*(f - 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6747 and -0.2?\nAnswer: -0.53494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2515*t**2 + 10*t - 1. What is the tens digit of b(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1228\/3 - -410. Let a(h) = -h**3 - 3*h**2 - 3*h - 3. Let d be a(-2). Let p = -11\/9 - d. Put 2\/9, p, i in decreasing order.\nAnswer: i, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 - l**2)*(-49 + 1 + 18).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.023, -27.8, 105 in decreasing order.\nAnswer: 105, 0.023, -27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Let u(d) be the third derivative of -d**5\/20 - d**4\/6 + d**3\/3 - 2*d**2. Let t(z) = 2*b(z) + u(z). Find the second derivative of t(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) + sqrt(125)*-1)*4*-4 - ((3*-2*sqrt(125) - sqrt(125)) + 1 + 1 + sqrt(125)))*-3)**2.\nAnswer: -1080*sqrt(5) + 40536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 69049692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = 56. What is the greatest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = 17*s - 4603 - 543701. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**4 + 2*u**3 + 19*u**2 - 5475*u wrt u?\nAnswer: -84*u**2 + 12*u + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7695878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2\/9 (b) 3\/4 (c) 0.1074 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -266784 divided by -6?\nAnswer: 44464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35837.1537 rounded to the nearest ten?\nAnswer: 35840","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 455587963 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/9, 41, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4991?\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**9\/10584 + 2*s**3\/3 + 4*s. Let q(z) be the second derivative of t(z). Factor q(v).\nAnswer: -2*v**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1542 + 2*p**2 - 541 + 189 to j*p**2 + b*p + o and give o.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 16*b**2 - 18*b + 19. Let z be q(17). Put 5, 29, z in increasing order.\nAnswer: z, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 40 = 60 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 66662388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507 divided by 2.\nAnswer: 507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412477.4 millennia to months.\nAnswer: 4949728800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 40475950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*d - 25, -16*n - 2*d = -15*n + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(1300\/32))\/(2\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose 0 = -2*u + 1 + 1. Let k be (u - 2) + 1 + 0. Put h, 1, k in increasing order.\nAnswer: k, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {d: 1, s: 1, w: 1, x: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - -134)*(14 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**3\/13 + 2*f**2\/13 - 528*f\/13.\nAnswer: 2*f*(f - 8)*(4*f + 33)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from uuuuuuuuuuuuuubuuv?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 9 + 5 + 412*g**3.\nAnswer: 412*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43664981 rounded to two dps?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 226 = 64. Does 13 divide b\/8*(-204)\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -51. What is the lowest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4920, 20, -0.2, -0.5, -162\/7 in decreasing order.\nAnswer: 20, -0.2, -0.5, -162\/7, -4920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**43\/(k**(-6\/5)*k**(-3)) assuming k is positive.\nAnswer: k**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 + 77*t**2 + 179*t - 15. Determine a(-3).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)\/(sqrt(36)\/sqrt(3)))\/sqrt(72))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose -4*y + 4 - 29 = -5*t, 0 = y + t - 5. Which is the nearest to y? (a) -1 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*b - 33*b + 376 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22825 (base 12) to base 4\nAnswer: -23100131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let q(v) = -v**3 - 4*v**2 + 2*v + 5. Let f be ((-8)\/(-20))\/((-2)\/(-20)). Let p(a) = f*g(a) - q(a). Calculate p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 1. What is l(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 20. Let c be ((-18)\/w)\/((-2)\/4). Suppose -15 = -c*f + 12*f. Round f to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2847.98 times 0.1\nAnswer: -284.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2. Let o(b) = 384264*b. What is c(o(q))?\nAnswer: 885952930176*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/20)\/((-6)\/4). Let n = -2 - -7. Suppose -2*y + 0*y = 2*q + 8, 2*q + 4*y + 18 = 0. What is the third smallest value in p, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8699837, -8699836, -8699835, -8699834, -8699833, -8699832?\n\"Answer: k - 8699838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 1866, 1, 6, 4 in descending order.\nAnswer: 1866, 6, 4, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 1043 + s - 2*s**3 + s - 2*s**2 - 978 as b*s + t*s**3 + c*s**2 + l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*n + 662, -3*n - n = 4*j - 676. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483 and 285873?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*k**4 + 703*k**3 + 104*k + 31771891?\nAnswer: -196*k**3 + 2109*k**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 17. Suppose 58*a - 89232 = n*a. Is 78 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z + 19. Let h(v) = 4*v**2. Give h(i(u)).\nAnswer: 676*u**2 + 1976*u + 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let w = 0.2 + d. Let r be -5 - (224\/(-8))\/4. Which is the nearest to 0.1? (a) w (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:26 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*a**2)*(0*a - 3*a + 0*a) + 1 + 3215*a**2 - 3215*a**2 - 17*a**3.\nAnswer: -11*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-20)\/96)\/5). Let c = y + 49. Solve -c = 5*m - 0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -9*r + 5*r. Calculate the remainder when r is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5, -204699 in decreasing order.\nAnswer: 5, -24, -204699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1984, -2158, -2348, -2560, -2800?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = c. Let l be -1 + 1 - (c - 7). Suppose 3*d + l*k = 93, -4*d - k + 109 = -0*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 4*c**2 - 2*c**2 - 3*c**2 + 0*c**2 + c**2 + (-140*c - 111*c + 5*c)*(2*c + 2*c - 2*c).\nAnswer: -496*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.005.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/776 and 27\/776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1001638*r**2 - 3145285*r?\nAnswer: -2003276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 6*sqrt(1300)*2)**2.\nAnswer: 1200*sqrt(13) + 187223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2*3 + (-154 - -520).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*i + 72*i + 23*i.\nAnswer: 223*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1336 + -1335.7. Which is the closest to 3? (a) 5 (b) 3 (c) p (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07019? (a) 24 (b) -3 (c) -0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from dlldllllll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37872 at least 37872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 3)*(0*j - 10*j + j)*(-73*j**2 + 71*j**4 + 110*j**2 - 32*j**2).\nAnswer: -3195*j**5 - 225*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675274.\nAnswer: 2, 17, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, -1\/9, -65, -2\/9, -58?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12*69\/598*-13\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Suppose -7*s = -45 + 10. Let y(c) = 11*c - 20*c - s*c. Give y(n(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 942.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44120*f - 8 - 88233*f + 44113*f - 93*f**2.\nAnswer: -93*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.5969104 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 0 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorrflolllofrfof. What is prob of sequence lo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -392, -896, -1602, -2510?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14219998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4*30\/20*2\/6. Sort n, -1, 4, 108 in ascending order.\nAnswer: n, -1, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12288*s + 245654. What is f(-20)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908 - -940. What is the highest common factor of o and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16. Which is the smallest value? (a) -8 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 14*s - 19*n, -49 = -s - 2*n - 54 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -637*v + 567890 - 636686 for v.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2182 (b) 2 (c) 4779\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*n**2 - 7 - 1439*n**2 - 2*n + 10.\nAnswer: -1570*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16 and 3\/(-9)*-2 + -25.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 5*sqrt(147)*2*-5)**2 + 0.\nAnswer: 2100*sqrt(3) + 367509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.73 and 497.4?\nAnswer: -13792.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 10. Give s(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = 880 + 1920. Calculate the remainder when 495 is divided by u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184574 is divided by 23490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 5*a - 5. Let k be j(-7). Let h = k + -5. Solve -3*t**4 + 2*t**5 + 2*t + 7*t**4 - h*t**5 - 4*t**2 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/70*(-6)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 10748*a**4 + 317*a + 2*a**2 + 0 - 10747*a**4 - 479*a**3 wrt a.\nAnswer: 12*a**2 - 2874*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2 = 5*v. Let y(x) = 12*x - 6 - 1 - 2 - x**v + 3. Does 7 divide y(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83109.82887 plus -8?\nAnswer: -83117.82887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 923, 1988, 3765, 6254, 9455, 13368?\n\"Answer: 356*k**2 - 3*k + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/3 - 2*q - 2. Let u(y) = -19*y. Determine m(u(o)).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41216102 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 819 divided by -819\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552013 is divided by 275991?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(209) + sqrt(209)*-2*-5 + 6*(sqrt(209) + -2*sqrt(209)) + sqrt(209)))\/(2*sqrt(1100)*-1*2))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -112 (c) 1 (d) 176 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-4)\/(-1) + -3 + 4). Which is the closest to -19? (a) 2 (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -65. Let l be 0\/(3\/(v\/(-5))). Let y(f) = -f - 3. Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z**4 + 47*z**3 - 18*z - 11809. Let g(i) = -22*i**4 + 93*i**3 - 45*i - 23617. Let w(y) = -2*g(y) + 5*j(y). Differentiate w(s) with respect to s.\nAnswer: -44*s**3 + 147*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2 - 21*v + 3. Is z(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in microseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9185 rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {q: 4, x: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081064 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 36. Calculate the remainder when 21 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17714059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81067 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 24 + 40 = 0. Let y(k) = -46*k**2 - 52*k**t + 115*k**2. Let o(b) = 2*b. What is y(o(r))?\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.221124.\nAnswer: -4.778876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 34 = -4*z, -25*z + 30*z = 3*c + 2. Let h(o) = -o + 3. Let m be h(5). Let t be -1 + -1 + (-20)\/m. Solve 2*k - c*k - t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c - 205\/24*c**4 - 14*c**2 - 2\/3*c**6 - 22\/3*c**5 + 0 - 25\/6*c**3. Factor b(p).\nAnswer: -5*(p + 5)*(4*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-36)\/(-8)))\/((-1)\/(-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815396.6 days in weeks?\nAnswer: 687913.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 48192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -1\/2 (b) 13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - ((-6 - -11) + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.021281.\nAnswer: 0.0106405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 219, 434, 647, 858, 1067, 1274?\n\"Answer: -y**2 + 218*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-15)\/6)*-6. Let s be -3 + (-3 - 0)\/q. What is the units digit of (-3)\/s + 69\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2458913 to the nearest 10000.\nAnswer: -2460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2167 - -10833\/5. Let k = -1 - -5. Which is the fourth biggest value? (a) -1\/2 (b) -2\/11 (c) k (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(8\/3)*i*i*i\/(i*i**(-2\/5)*i)*i**(1\/3)\/i*i)\/(i**3\/i**(-4\/7))**(11\/3) assuming i is positive.\nAnswer: i**(-3859\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101196 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.0122 + 39. What is x rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**2 + 15*c + 8837. Calculate u(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.070726253 and 0.01.\nAnswer: 0.080726253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*o**2 + 212*o**2 - 5614*o**4 - 2396*o**2 wrt o?\nAnswer: -134736*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -33, 8, 292, -0.2, -5 in descending order.\nAnswer: 292, 8, -0.2, -1\/2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(438\/4*-4)). Suppose 80 = 4*p - 4*g - 280, 2*g = 5*p - a. Calculate the remainder when p is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 1012, 2894, 6570, 12640, 21704?\nAnswer: 34362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14)\/(-4)*-1)\/(12\/(-984))?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32102 - -11132?\nAnswer: -20310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z*z)**15*(z\/((z**(-2\/7)\/z)\/z*z))**(-2\/73)*((z**7*z)\/((z*z**0)\/z*z*z))\/(z**(-2\/3)*z)**(1\/20) assuming z is positive.\nAnswer: z**(1561229\/30660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + n - 3*n**2 + 0*n**2 + 5 + 2*n = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 29*q**4 + 96*q**3 - 4*q**2 - 128*q.\nAnswer: -q*(q - 2)**2*(q + 1)*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 288\/162 + 4\/18. Let o be (p + (-12)\/5)*-5. Is o < -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -24a58?\nAnswer: 24a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.19 - 5. Let h = -915.81 + 914. Let l = h - z. Which is the nearest to -1? (a) l (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1122010121?\nAnswer: -1122010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/66*(-6)\/3*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -327.\nAnswer: -8\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -61 = -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 11, d: 1}. Give prob of sequence cd.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 471552 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*j. Let f(y) = 5*y**2 + j*y - 2*y - 3*y**2. Let v(o) = o**2. Determine v(f(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-21) + 238420\/245. Calculate the highest common factor of x and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*w = -204, 0 = -0*w + 3*w. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41952*v**3 + 4*v**2 + v**5 - 41952*v**3 - 3*v**4.\nAnswer: v**2*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 97*g**2 + 106*g + 110. Calculate x(98).\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955 = -4*i + 54*i + 2955 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2581528 and 128336?\nAnswer: 4936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135335759359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5 - 14750*z - 12 + 14757*z. Let y be r(3). Suppose 0 - 1\/3*t**2 + 1\/3*t**y - 1\/3*t**3 + 1\/3*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let y be w(-9). Let r be 4\/(-12) - (-14)\/y. What is the remainder when (1\/r)\/((-2)\/(-308)) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137819274 - -5\nAnswer: 137819279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 39 = -8*c. Suppose 3*z - c = 5. Suppose -85 + 1 = -z*b. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*f*m**3 - 3*d**3*f*m**2 - 2*d**3*f*m - 39*f*m**3 - 32*f*m**2 wrt m?\nAnswer: -18*d**3*f - 234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568 - -684. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*n = -2*n + 25, 3*p + n = -12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o**5 - 2570770*o**4 - 826036600094*o**3\/11 + 4130692026966*o**2\/11 - 5783161138560*o\/11 + 2478533990400\/11 = 0.\nAnswer: -642720\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * 68.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 660?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l**2 - 11*l + 11. Let t(g) = -10*g**2 - 6*g + 6. Let j(c) = 11*t(c) - 6*z(c). Factor j(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-24)\/80*4\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 13 - 21 = 0. Suppose 5*x - 2*l - 28 = 0, 2*l = -n*x + 2*x. What is the lowest common multiple of x and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 47135.\nAnswer: 3\/9427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*d - 450*d = 0. Put d, -32, 2 in increasing order.\nAnswer: -32, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57377\/(-93758) - 102\/(-2516).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2018176571645*r**4 + 4036372202980*r**3 - 2018214691070*r**2 + 19059780*r - 45 = 0. Calculate r.\nAnswer: 3\/635323, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(16\/(-6) - -3). Let b(y) = -9*y**3 + 5*y + 3. Let l(n) = -8*n**3 + 5*n + 2. Let v(i) = z*b(i) + 3*l(i). Find the second derivative of v(m) wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 4) to base 2.\nAnswer: 10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*l + 597 - 553 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -6*q**5 + 8*q**4 + 22*q**3 - 32*q**2 + 8*q = 0.\nAnswer: -2, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81545118 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -912 or -911?\nAnswer: -911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8118)\/(-1107) - 16\/3. Factor 1\/11*r**v + 0 + 2\/11*r.\nAnswer: r*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*y - 12, -12*i - 5*y = -i + 9*i + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)\/((g\/((g\/(g*g**(1\/3))*g)\/g))\/g*g) assuming g is positive.\nAnswer: g**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133698649 or 133698650?\nAnswer: 133698649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4159428?\nAnswer: 2, 3, 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*u - 2*m, 3*u - 1 = 2*m + 1. Let q(z) = 17*z - 11. Let y(h) = 11*h - 7. Let o(t) = 5*q(t) - 8*y(t). Calculate o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4829, 8817, 11111, 10865, 7233, -631?\nAnswer: -13573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7964.553nm to meters.\nAnswer: 0.000007964553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 10*l + 9. Determine b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 40*m**2 + 114*m - 46. Let o be g(37). Suppose 0 = 26*i - 21*i - o. Solve r + i = -3*d, -21 = -0*r + 2*r + 5*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01158 to four decimal places.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 3. Let p = 14 + 46. What is the greatest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uug.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 3. Let h be x(2). Let y = 0.04 + -2.04. Let n = -0.08 + 0.08. Which is the second biggest value? (a) n (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*h**3 + 7*h**3 + 3 + 3*h to the form v*h**2 + r*h + w*h**3 + k and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 15*a**2 - 14*a + 2. Calculate the least common multiple of 18 and x(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171677983?\nAnswer: 557, 308219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2004 and 19360143.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k. Let d(u) = 2*u + 89*u**3 + 5*u**2 - 14*u**3 + 2*u - 72*u**3. What is -3*d(y) - 12*l(y)?\nAnswer: -9*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i - 28 + 0*i**2 + i**3 + 3\/4*i**4. Factor d(p).\nAnswer: 3*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -1 + (46*1846)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 99*m - 1589 = 0, 402*m - 405*m + 13 = 2*o - 33 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z + 1. Let k = 4 + -3. Let q(i) = -3*i**2 + 10*i + 9. Let l(j) = k*q(j) - 4*t(j). Let f(u) = 5*u**3 + u**2 - 1. Let v be f(-1). Give l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - v = 10, 9 + 31 = 4*p + 4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/9 + 4\/12. Let o = 11 - c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - n**4 - n**3 + (11*n**2 + n**4 - 11*n**2)*(1 - 3 - 2).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16942744 and 2856.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 12*f**2 + 3*f**3 + 6*f**2 + 0*f**3 + 3. Let r = 432 - 438. Give d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 48*p - 76, 3*j + 6876*p - 6875*p + 22 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-280)\/6)\/(-7) - 4\/6. Suppose -11*l - 3*u = -i*l - 7, -3*l + 2*u = -8. Solve 0 = -5*h - 2*b - 5, 4*h + 0*h + 2 = -l*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/(51\/238).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -29, -114, -285, -572, -1005?\n\"Answer: -5*u**3 + 2*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -838.79 - -839.7. Let j = 125 + -126.01. Let o = s + j. Which is the nearest to o? (a) 0.04 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 512108340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3*n**2 - 3. Let s(o) = 3*o. Give d(s(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*a + 63208. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 + 6 = 0. What is the third derivative of 6*s**2 + 5*s**r - 6*s**2 - 105*s**4 + 2 - 8*s**2 wrt s?\nAnswer: -2520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -2\/3, 4, 0.053 in increasing order.\nAnswer: -2\/3, -0.5, 0.053, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(-43 + g**3 - 4*g**2 + 43).\nAnswer: 4*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = a + 2*z, -3*a + 3*z = -36. Solve -d = a - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and 109\/2846492.\nAnswer: 8539476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1997 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(-12) - (-501854535)\/468 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7812 + 116.3.\nAnswer: -7695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 48773*o + 48769.\nAnswer: (o - 1)*(4*o - 48769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 5. Let t = 0.1 + -0.07. Let g = t - -0.97. Which is the second smallest value? (a) g (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/454752 and -45\/304.\nAnswer: 8640288","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1906 or 1905?\nAnswer: 1905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/5))\/d**(-11))\/(d**0*d**(4\/13)) assuming d is positive.\nAnswer: d**(773\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42846421 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339374240 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -832?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100031001 - -2330?\nAnswer: -1100022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 10*x**2 - 4*x - 7. Let d be p(-5). Let q(r) = -1042*r + 84 - d - 99*r. Is q(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 322\/(-56) - 2\/8. Is 0 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 3. Let l(s) = 2*s - 3. Let q(n) = -2*n + 3. Let b(i) = -6*l(i) - 5*q(i). Let v(a) = -5*b(a) + 4*t(a). What is the derivative of v(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, l: 9}. What is prob of sequence yly?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Let d = -6 + 9. Let i = j + d. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-1320*z - 25*z + 41*z - 1713*z).\nAnswer: -3017*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12 + 160\/6. Let i = -13 + p. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-280) - 14\/(-180)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41749 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Suppose 3*x = 2*j - 14, 3*j = -2*x - j - 4. Let c(g) = 2*g**2. Let l(w) = x*c(w) + 5*r(w). Let m(n) = -10*n**2. Determine l(m(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q + 24 = 44*q. What is the smallest common multiple of 20 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26924001.\nAnswer: 3, 13, 59, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10475, -20213, -29951, -39689, -49427?\nAnswer: -59165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -45.\nAnswer: -45, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53.9, -2\/7, -0.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p - p + 2*p)*(-5 + 2 + 5) - 5*p - p + 4*p - 9 - 2*p - 6 + 13)*(388 - 136 - 118).\nAnswer: -804*p - 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r + 225 - 1676 - 2549 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3*g - 5. Let p be ((-10)\/(-4))\/((-1)\/(-2)). Is m(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.83 - 6.83. Let p be ((-5)\/25)\/((-4)\/30). Which is the biggest value? (a) p (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, 0, -1219 in descending order.\nAnswer: 23, 0, -2, -1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, -1303, -4126, -8059, -13090, -19207?\nAnswer: -26398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31404 (base 11) to base 13.\nAnswer: 17a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-360)*(-60)\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l**2 + 90*l**2 - 164*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356 - 378. Sort i, 4, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5*p + 4*p - 2*p + p - p + 1 - p - 1 + (0 + 0 + 2)*(-3*p - p + 2*p) - p + 4*p - 5*p + 2*p + p - p + 0 + 0 - 3*p - 2*p - 3*p + p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 232465*j**2 + 78461795*j + 78229335 = 0. Calculate j.\nAnswer: -46153, -339, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(125) - 1*sqrt(125)*5)**2 - ((sqrt(125) + (-1 + sqrt(125))*-4)**2 + -1))*6.\nAnswer: 720*sqrt(5) + 5166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792) + 5*sqrt(792)*1 + sqrt(792))\/(sqrt(288) + (sqrt(288)*-5 - sqrt(288) - sqrt(288))*-6 + sqrt(288)).\nAnswer: 7*sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458 or 460?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*m*o**3 - 151*m*o**2 - 2*m wrt o?\nAnswer: 750*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15 + -1)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.141021 * -0.05.\nAnswer: -0.00705105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/12 - 120\/144)*(10 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + (81 - (-21 - 131)).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47079 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 17580*i + 77264100.\nAnswer: (i - 8790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + 198*h**2 + 1353*h + 15. Calculate s(-7).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 565, 144, -571, -1586, -2907, -4540?\n\"Answer: -w**3 - 141*w**2 + 9*w + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 230054.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-4\/27)*k*k\/k**(-1)*k**(-1\/6)*k*((k*(k**(-2)\/k)\/k)\/k**5)**(-2\/3) assuming k is positive.\nAnswer: k**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -a26 (base 14) in base 9?\nAnswer: -2655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -38, -9\/20, -0.4, -4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7892562.\nAnswer: 2, 3, 19, 69233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -1053, -2463, -4551, -7383?\nAnswer: -11025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 2484*r.\nAnswer: 4*r*(r + 621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.091 and 161.\nAnswer: -14.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 60.248 * -5350\nAnswer: -322326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -141*f + 1731. Let a be r(11). What is the greatest common divisor of a and 7140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and 3.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84902, 169810, 254722, 339638, 424558, 509482, 594410?\n\"Answer: 2*g**2 + 84902*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2306*x**3 - 3*x + 17.\nAnswer: 13836*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36976485 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*26*3\/15. Suppose 33085 = 450*l - 89765. What is the greatest common divisor of l and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 1 + 5*c + c - c. Let u be -1*((-12)\/3 + 3). Let i(o) = -o**2 + 2*o + 5. Give u*i(m) - 5*k(m).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 19151\nAnswer: -172\/19151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {h: 6, m: 3, t: 1, k: 1, q: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 4, y: 1, t: 6}. What is prob of sequence ycc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9272510?\nAnswer: 2, 5, 13, 71327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44613774 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1129644 and -2.\nAnswer: 0.2259288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/602 and 95\/68972.\nAnswer: 482804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 4 (b) 6.57 (c) 3.06 (d) -0.3 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 8*o**2 + 2*o - 11. List the prime factors of q(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(196)) - (-1 + sqrt(20)\/(sqrt(4) - sqrt(36))))*2.\nAnswer: 6*sqrt(5)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 11. Calculate v(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 14. What is the remainder when 366 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 - 13*i**4\/12 + 7*i**3\/3 - i**2 - i. What is the remainder when 64 is divided by t(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50950 and 1243180.\nAnswer: 6215900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 72*p**3 - 2*p + 1. Let w be y(1). Does 4 divide w\/6 + 2\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pww when three letters picked without replacement from rwpwpppwrwrrpr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:02 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Suppose -4*k = -t*k - 48. Let b(n) = n**3 - 11*n**2 - 11*n - 4. Let v be b(12). Calculate the greatest common factor of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgg. What is prob of picking 1 g and 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eieeiiieei. What is prob of sequence eiei?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -244655419, -244655417, -244655415?\n\"Answer: 2*n - 244655421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**2 - 23\/6*w**3 + 1\/7*w**4 + 0 + 1\/252*w**6 + 8\/105*w**5 + 11*w. Let g(d) be the second derivative of r(d). Factor g(c).\nAnswer: 2*(c + 6)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.92 times 0.3\nAnswer: -2.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, -12, 1\/2, -1, 80 in descending order.\nAnswer: 80, 1\/2, -1\/2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2050*y**2 - 2858*y**2 + 4935*y**2.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -37*q**2 - 69*q + 248. Give a(3).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {u: 1, c: 2, y: 4, l: 4, i: 4, m: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, -0.5, -4, -13\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/18, 6 in ascending order.\nAnswer: -1\/18, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 4}. Give prob of sequence hhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.771 + -1.769. Let l = -0.46 + i. Let p = 20.00000054 + l. Round p to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179365 < -179363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-130)\/15)\/((-2)\/3). Solve -4*p - c = -0*c - u, c = 3*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 425, 423, 421, 419, 417?\n\"Answer: -2*s + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7 - (-621)\/(-161))\/(7\/14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330761, -1323052, -2976871, -5292218, -8269093?\nAnswer: -11907496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 203 - -33?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*a*b**3 + 23*a*b*j + 10*a*j + 4*b**3*j + 4*b**2 wrt b.\nAnswer: 954*a + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -4*f**2 + 1\/12*f**4 + 0*f**3 + 0 + 0*f. Let t(w) = 2*w. Let c(b) = -3*q(b) + 2*t(b). Let u(a) = -5*a**2. What is u(c(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 549897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410532 (base 12) in base 16?\nAnswer: f83f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - y)*(-127*y + 64*y - 122*y) + 4*y**2 + 3 - 3.\nAnswer: -366*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3524300403 + -3?\nAnswer: 3524300400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/5 - -4 - 0. Suppose 49 - 981 = -2*f - i*x, -2*f = x - 935. Suppose -3*z = 4*k - k - f, -z = -3*k - 148. List the prime factors of z.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12973798307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, k: 3}. Give prob of sequence kkx.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 48*z - 329. Give q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4*u**2*w + 25*h**3*u*w - 3*h**3*w - 84*h**2*u**2*w - 2*h**2*u - 3*u**2*w wrt h?\nAnswer: -48*h*u**2*w + 150*u*w - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 358 + -357.99998685. Round d to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/74 and 143\/666.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 46 = -4*s, -2*s = 4*q - 3*s - 44. Let n(r) = 0*r + 19*r - q*r + 5*r. Let x(f) = 5*f + 3*f - 9*f + 2*f. Give n(x(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/24 + l**5\/4 - 10*l**3\/3 + 17*l**2. Factor q(n).\nAnswer: 5*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*2 + -2 + -4 - (-1 + sqrt(96)\/sqrt(3) + 3))**2.\nAnswer: -160*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 44*b = 1026. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 143 (b) 1 (c) -1.8 (d) -4\/7 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2. Let h(t) = 3*t**2 - 2*t**2 + 2*t**2 - 4*t**2. Calculate y(h(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 13. Let g be 2*(1 + s\/7). Let a(w) = -2*w - 1. Let r be a(-1). Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5119977 * -5\nAnswer: -12.5599885","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11472926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 3, 2, -128?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -37*c**3 + c**2 + 8*c + 4. Let v(f) = -36*f**3 + f**2 + 9*f + 5. Let s(z) = 5*h(z) - 4*v(z). Find the third derivative of s(y) wrt y.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0 - -1)*1. Is (-1028)\/20*(h - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3*(-13)\/((-234)\/27). Suppose 0 = a*x + 2*j - 14, -x - 3*x + 4*j = 12. Solve 14 = -p + 2*b + x*b, 0 = -4*b + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {b: 5, y: 5, j: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 11*c - 9. Let k(d) = -8*d**3 - 2*d**2 - d. Let l be k(-1). Is n(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272050 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -8, 55, 2\/5, -1\/4 in increasing order.\nAnswer: -8, -1\/4, -1\/7, 2\/5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 423*i - 64 = 424*i, -4*i + 3 = q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*p + 28, -17 = -a - 0*p - 3*p. Suppose 3*n - o = -5*o + 22, -5*n - a = -3*o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q + 1. Let g = 7 + -5. Let l be g + -2 - (-1 + 1). Let o be m(l). Put o, 2, -4 in increasing order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -25. Suppose -2*i - 16 = 3*p, -p = 2*i + 15 - 3. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -3*p, 5*p = -0*w - 3*w - 13. Is (-2 + p)*254\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 - 4*h + 2. Let q be u(-4). Let j(r) = 4*r**q + 18 + 10 - r - 5*r**2 - 11. Does 8 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188000?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 5*m - 2*m**2)*(m - m - 2*m) + 2*m**3 - 3*m**3 + 4*m**3 - 2*m**3 + 5*m**3 - m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-21))\/((14420\/168)\/103).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1166792156*y**2 + 412042613*y wrt y.\nAnswer: 2333584312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) 4 (c) -163 (d) 5 (e) -0.3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 206466107597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113533 is divided by 105.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v**2. Let u(w) = 7*w. Calculate q(u(l)).\nAnswer: -882*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2865245*b**3 + 596398665*b**2 + 508927440*b + 108349780 = 0.\nAnswer: -322\/757, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:26 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let a(v) = -5*v + 57. Let k be a(9). Let y(z) = 6*z - 2*z**2 - k*z + 8*z. What is y(b(u))?\nAnswer: -8*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-30)*((-16)\/4)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -213 in descending order.\nAnswer: 3, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*k + 2*j - 342, 0 = -k + 5*j + 90. Suppose 5*n - k = -2*r + 7*r, 0 = 5*n + 2*r - 110. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2232, 199, -4, -5, 10 in increasing order.\nAnswer: -2232, -5, -4, 10, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19653145913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3219539 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 3*x. Let t(c) = -1 - 8*c + 4*c + 4*c**3 - 4*c. Let n(h) = -8*m(h) + 3*t(h). Differentiate n(b) with respect to b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4\/3, 17, 3\/4, -2, 81?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {f: 2, g: 2, n: 8}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-7)\/(-77)) + (-348 - -351).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64506104?\nAnswer: 2, 13, 620251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (2 - (2 + 0)). Let i(j) = j**2 + 7*j - 4. Let b be i(-9). Suppose -w*h + 36 = -b. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606904 is divided by 479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-18)\/25)\/(48\/(-2970)*-9) and 5\/164.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2876892 and 806388?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 * -11\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 4*u**2 + u - 3. Let v be n(-3). Let p = 25 - 28. Let b = p + v. Sort -5, b, 3 in descending order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3224788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * 4.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 77, 123, 173, 227, 285, 347?\n\"Answer: 2*u**2 + 36*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01587 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3640 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c - 239279 + 43347 = 0. List the prime factors of c.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-14))\/(2\/8). Let q(x) = x**f - 4*x - 6 - x + 1. Let i be q(6). Solve 0 = -3*s - i - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f + 17*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 146.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.01 - -9.1. Which is smaller: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*o + 4050 - 1625 = -5578. Suppose -x = 3*x - 48. Suppose 3*b + 13 = -t + 6*b, -t - 2*b + x = 0. Sort -4, t, o in ascending order.\nAnswer: -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*n + 142*n - 560 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 3*b - 3. Let f(n) = -266*n**3 + n**2 - 3*n + 6. What is -a(z) - f(z)?\nAnswer: 268*z**3 - z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-3\/2)))\/h)\/(h\/h**(-1\/3)*h)*(h*h**(1\/6)*h*h)\/h*h**(-4\/3))\/((h**(-1\/2))**(-3\/11)*(h*h**(-1\/5)*h)\/h*h*h*h*h*h**2*h*h) assuming h is positive.\nAnswer: h**(-1093\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64450203 (base 7) in base 13?\nAnswer: -11a3531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**4 - 1154*w**2 - 19 + 1173*w**2 - 2*w**4 wrt w?\nAnswer: -4*w**3 + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -2*h - 168. Let b = 30 - h. Let f be 182\/56 + b\/(-8). Solve 5*p - 6 = f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*r + 4 = 0, -7*t - 3*r = -2*t - 32. Let h be (0 + (-3)\/(-4))*t. Solve -2*c + h*x + 21 = 0, 3*c + 2*c - 5 = -2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 3*r. Let s be z(2). Let u = 4 - 2. Suppose -u*i - 4 - 2 = 0. What is the closest to 1\/2 in 0, i, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 203610*u + 79555383 = 0. Calculate u.\nAnswer: 393, 67477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.1 - -27. Let o = -7 + 5. Sort a, 0, o in ascending order.\nAnswer: o, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 3*w + 2167, 0 = 5*h + w - 10755. List the prime factors of h.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 0.4, -2, 1\/4 in increasing order.\nAnswer: -2, 0.21, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(108) + sqrt(108)*1 + -3 + -4 + sqrt(108)*-1 + sqrt(108)*2*2*-4)**2.\nAnswer: 1260*sqrt(3) + 24349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -2, -9, -16, -23, -30?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-105)*(20\/6 + 0)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(1 - 6 + 3)*(-2*k**2 + 4*k - 4*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313\/280 + -26\/35. Factor n*f**5 + 15\/8*f**4 + 21\/8*f**2 + 0 + 3\/4*f + 27\/8*f**3.\nAnswer: 3*f*(f + 1)**3*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807293, -3614691, -5422091, -7229493, -9036897, -10844303, -12651711?\nAnswer: -14459121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 9*s. Let h(b) = 2*b**2 - 4*b. Let d = 93 + -61. Suppose -5*x - 4*p - d = 0, -3*x - 23 = 3*p - 2. What is x*t(i) + 9*h(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z. Determine w(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/6 + 13355*j**2\/6 + 1064852*j + 129736218 = 0.\nAnswer: -12863, -246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.7456 rounded to zero dps?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1269.02 + 1269. Let p = -12 - -11.956. Let h = p - -0.444. Put h, 0.2, j in descending order.\nAnswer: h, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, 4, -2, -10 in descending order.\nAnswer: 4, -1, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 19*l + 45. Calculate i(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/o**4)\/o)\/o)*o\/o**(-1))\/((o**(2\/3)*o)\/o**(-5)) assuming o is positive.\nAnswer: o**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24658980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - x**2 + 8*x - 1. What is the units digit of q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 33*g + 79. What are the prime factors of a(11)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2348 and 97\/20?\nAnswer: 11740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33\/50 + -3\/50. Let o be (-3406)\/(-9170) - 8\/14. Which is the biggest value? (a) 10.1 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020629 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q**2 + 30 + 31*q**3 - 8*q**3 - 17*q**2 with respect to q.\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g)\/(g\/(g*g\/(g\/g**(-7)*g*g))))**(-47)*g**4\/g**(3\/2)*(g**4*g)\/(g*g**(-1\/4)*g) assuming g is positive.\nAnswer: g**(1527\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s - 178. Let k be a(-21). Let z(v) = 3*v**2 - 8*v + 49. Is z(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**3 + f**2 - 6*f - 3. Let d(i) be the second derivative of -11*i**5\/20 - i**4\/6 + 2*i**3 + 5*i**2\/2 + 1834*i. Give -3*d(p) - 5*w(p).\nAnswer: 3*p**3 + p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 4)*(-3 + 3 - h) - 7 - h + 7 + (-2*h + 7*h - 3*h)*(1 + 0 - 2) to the form r + q*h and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 15597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 + 7*k - 3. Suppose 15 = 4*y - 65. Suppose -5*z + y = -z. What are the prime factors of b(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, 224, 0 in descending order.\nAnswer: 224, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1092\/23 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o**2. Let v(q) = -75*q**2. Let l(d) = 4*v(d) - 11*w(d). Let z(s) be the first derivative of -s**3\/3 + 4439. Determine l(z(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(1\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvhvhhhzhnzh. Give prob of sequence uz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17734.7382 rounded to the nearest integer?\nAnswer: 17735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0056 + -4.0056. Which is the biggest value? (a) 0 (b) p (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) 41\/3219 (d) -4 (e) 3 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -106*y**7\/7 - y**6\/10 - y**4\/4 + 164*y**2 - 1071*y. What is the third derivative of k(s) wrt s?\nAnswer: -38160*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1179197\/18456 - -40\/2307. Let t = h + 64. Suppose -4 = -2*s - 2*z, -2*z - 1 + 26 = -5*s. Put -4, s, t in increasing order.\nAnswer: -4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74195479*l**6 + 326*l**2 + 46?\nAnswer: -8903457480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {v: 2, g: 2, i: 5, x: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, 0.1, 0.03, 67?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -194*d**3 + 6*d**2 + 82*d - 170. Calculate l(2).\nAnswer: -1534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -760 + 765. Solve l*j + 18*h + 9 = 14*h, 0 = 3*j - 3*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 8. Let c = -0.15 + 0.075. Let q = 0.025 - c. Sort q, d, -0.1.\nAnswer: d, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/2777 - -5532\/30547. Which is the second biggest value? (a) 62 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/2 - 18610*o - 173166050 = 0 for o.\nAnswer: -18610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4752 (b) 5\/48 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (4 - (11 + -23 - -22))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.779 micrograms to grams.\nAnswer: 0.000534779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 6. Let a(k) = -2*k + 1. Let q be a(-1). Let y(f) = 2*f**2 + 5. Let j(m) = q*i(m) + 4*y(m). Differentiate j(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-28)\/49*7. Solve -j*a - a + 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*q = -2, 6*d - 5*d = 5*q - 8. Suppose -4*w - d*u = -298, -2*w + 5*w - 227 = 2*u. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1024, -34, -7, -0.1.\nAnswer: -34, -7, -0.1, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*k = -36, -t + 5*k + 20 = 4*t. Suppose -t*p = p - 162. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321679 + 595209. Round t to the nearest 1000.\nAnswer: 274000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.0392.\nAnswer: 0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/5 - 1109*d**4\/5 - 3411*d**3\/5 + 83537*d**2\/5 - 30482*d + 73392\/5 = 0. What is d?\nAnswer: -11, 1, 6, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in -1\/72, -66\/1291, 3?\nAnswer: -66\/1291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 6*b + 14. What is the tens digit of t(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l\/(l\/l**5*l))*l)**(-2\/13)\/(l**15\/(l\/l**(6\/7))) assuming l is positive.\nAnswer: l**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m - 12 = -d, 3*d + 4*m + 21 = 0. Let l(o) = o**2 - 4*o. Let h be l(d). What are the prime factors of (12\/(-14))\/((-3)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1489 (base 10) to base 3.\nAnswer: 2001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.037 - 19.963. Let m = -974 + 954.16. Let b = s - m. Round b to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Let x be (2*3)\/((-9)\/12). List the prime factors of h\/x - (-22)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 * 0.068.\nAnswer: 0.3944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1862?\nAnswer: -6\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 14*o**2 + 6*o + 14. Let f be v(14). Let i be (-2)\/4 + 21\/f. Which is the second biggest value? (a) i (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2830594, 2830591, 2830588?\n\"Answer: -3*p + 2830597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13*x**3 - 6*x + 6. Let c(y) = 196*y**3 - 91*y + 91. Let w = 2729 - 2638. Determine w*j(z) - 6*c(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 - 16*x - 2. Calculate l(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/7383000 and -101\/11235?\nAnswer: 51681000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, w: 2, v: 1, k: 2, f: 1}. What is prob of picking 1 w and 1 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -332?\nAnswer: -3\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1131 - -1149. Solve -t = -6*f + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391723 and 195667.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i = 48*i + 56*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0312653 rounded to 5 decimal places?\nAnswer: 0.03127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007438 rounded to 4 decimal places?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 + -94 + -4)\/((-2)\/(-54)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3639678 and 25\/33.\nAnswer: 40036458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3038.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-25060)\/1432*(-4)\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158638583 to the power of 1\/2, to the nearest integer?\nAnswer: 12595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*n**3 - 326*c**2 + 19*c*n**3 - 2*n**4 - n wrt n?\nAnswer: 6*c**2*n + 114*c*n - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 - (-60 + 68)) + -42?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 11:06 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 2. Let h be u(-1). Suppose -8*d + 5*d = -6. Suppose -d*c - 13 = -5*o + c, -c + h = 0. Solve -o*l - 7 = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7275, -14626, -21981, -29340, -36703?\n\"Answer: -2*d**2 - 7345*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22621 + 2?\nAnswer: 22623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 + 532 + (0 - -26)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10736 or -10553?\nAnswer: -10736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20) - 17\/(-5). Let w = q + -1. Solve -o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.14, 9, 3\/128?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 131 + 43*s - 133)*(-35 - 6 - 6).\nAnswer: -1974*s + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692024 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n**2 - 35*n**2 + 23*n**2.\nAnswer: -71*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*z - 4*i = -84, 3*i = -5*z + 113. What is the remainder when 64 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = 2*d. Suppose 0 = -3*n - 0 + 9. Suppose 2*o + 0*o - 20 = 4*j, 3*o + 5*j + n = 0. Which is the closest to 0.2? (a) 1\/4 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 10*y + 0*y**2 + 11 + 0*y. Let b be m(-8). List the prime factors of (-2)\/5 - 42\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, 2\/2275, 586?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1006992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/(-13))\/1. Let m = -123 + 42. Let y = 81.5 + m. What is the third smallest value in y, f, -29?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, 10, -2, -1511, 5 in ascending order.\nAnswer: -1511, -20, -2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.300394 and -0.5.\nAnswer: 2.150197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106463 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: Simplify (f*f**(-8)*f*f*f**(-23))**(2\/81) assuming f is positive.\nAnswer: f**(-56\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 + 6*i**3 - 19*i**2 + 13*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14062 - 13897. What is the greatest common divisor of w and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2328, 2534, 2738, 2940, 3140, 3338, 3534?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 minutes after 6:52 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3651 + 879. Let d = a + 1173. Suppose -4*p - d = -4*u, 6*p + 480 = 4*u + 3*p. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 144336438 and -1760?\nAnswer: 144338198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 - 3*o**2\/2 - 4*o - 5. Let h(u) be the first derivative of g(u). Let j(b) = -2*b - 4. Determine -5*h(a) + 4*j(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/(-6))\/3)\/(315\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 5, d: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2*n - 3 + 5, -4*a + 3*n + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133014 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 1.24. Let w = x + -1.54. Which is the closest to -1? (a) -2 (b) -2\/13 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 633 - 93. What is the greatest common divisor of l and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32.5005nm?\nAnswer: 0.0000325005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1782\nAnswer: -5\/1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(5) + (0 + sqrt(605) - sqrt(605)) + 2*sqrt(5)*-2 - sqrt(25)\/(sqrt(405)*2)))*2)**2.\nAnswer: 880*sqrt(5)\/9 + 20309\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 20 = -2*n. Let c be n\/5*(-6 + 1). Factor 24 - 12*g**3 - 46 + 22 + 4*g**c + 16*g.\nAnswer: 4*g*(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 + x - 1. Let w be f(-6). Suppose 0 = -22*r + 17*r + w. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/819221 (b) -0.06 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -32 - (9 + (-11 - 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6453865 to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*u**2 + 1552*u**2 - 755*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-354)*59*57?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 108, -4, -5 in ascending order.\nAnswer: -5, -4, -3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -127. Let s(l) = -12*l**2 + 7*l**2 + 2*l**k. Let b(j) be the first derivative of -2*j**3 - 4. Determine b(s(r)).\nAnswer: -54*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/3, 1536, -2\/7, -0.2, 1\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/((-1)\/(-3)). Suppose n + g*n = 21. Let 2*m**4 + 0*m**5 - 2*m**3 - n*m**5 + m**3 + 6*m**5 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*a - 2910*a + 565 + 1470*a - 568.\nAnswer: 112*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -1\/3 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 140.36. Let v = 6222 - 6218. Let r = v + p. Is r less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -a + 3 - 0, a = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.22, -13480 in ascending order.\nAnswer: -13480, -0.22, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:14 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + o = -2, -1 = -2*z + 3*o - 5. Suppose 0 = -2*l + 11 - 1. Let d(x) = 3*x - 6. Let q(t) = -t + 1. Let i(k) = l*q(k) + d(k). Give i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {h: 1, m: 2, x: 2, i: 4, k: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 104271*b**2\/2 - 84*b - 94. Let k be c(4). What is k rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 9*k**2 + 11. Let o be d(-9). Suppose -10 = b - o. Is b less than or equal to -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 40 = 5*r, 25 = 2*p - 4*r - 1. Suppose u - 55 = p*y + 945, -994 = -u - y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260820\/(-52920)*-2*(-2 + (-3 - -4))?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = -4*m + 169, a = -3*m + 25. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381490 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99\/2 + 1\/2 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(539) - (-4 + -1*sqrt(539)))*4)**2 + (-3*-4*sqrt(539)*2 + 5)**2 + -1.\nAnswer: 66192*sqrt(11) + 1561560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 12 - 1 = -4*a + 52, -a = 3*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 12*y - 11*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17023787626843134369\/113078 - -150549069015594. Let c = 16\/8077 - g. Let u = c + -6164. What is the common denominator of 139\/12 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483333579.\nAnswer: 3, 17, 3159043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and 3015457.\nAnswer: -723709.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 2\/3, 0, -8\/91, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -50. Let k be (-8)\/(0 + (3\/(-8))\/(-3)). Let s = -67 - k. Which is the third smallest value? (a) -5 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/8)\/p*p\/p**(-2)*(p**(-1\/3))**(-31)*((p*p**(-2\/11)*p)\/(p\/(p**(-3\/2)*p)))**(-5\/4) assuming p is positive.\nAnswer: p**(1559\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 - 9*i**4 + 19 + 21 + 2*i + 8*i**3 - 7*i**4 + 20*i**2 - 10*i**5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/34 + (3\/2)\/1. Let x be (8\/14)\/((-14)\/(-49)). Differentiate -3*h + 2*h**2 + 6 - 10*h**x + g*h wrt h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.8 + -18. Let c = 201.3 + -201. Sort f, 1, 4, c in decreasing order.\nAnswer: 4, 1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(5*b**2 - 2*b**2 + 0*b**2) + 18*b**2 + 42*b**2 - 8*b**2 + 3 - 3 - b**2 + (0*b + b - 3*b)*(-3*b - 2*b + 3*b).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a9d - b?\nAnswer: -6aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 9*n**2 + 4*n + 18. Let i be j(8). Suppose 15 = l + 4*l. Let b be (i\/(-6) - l)\/2. Sort -2\/17, b, 20\/3 in decreasing order.\nAnswer: 20\/3, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {m: 5, a: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + -17 - (-620 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 182, 12 in decreasing order.\nAnswer: 182, 12, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 7. Calculate the smallest common multiple of y(-11) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4874*t + 151480. Calculate a(31).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (2\/(-2) - -2). Let n be (0\/(2 + -5))\/(-3). Suppose o*z - 2*z = n. Solve 3 = -z*t - t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180 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: Expand (-4 + 4 + 3 + (-6 + 1 + 4)*(-1 + 1 - 2))*(3*s - 3*s + 4*s**3).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32473020.\nAnswer: 2, 3, 5, 541217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6834, 6598, 6328, 6018, 5662, 5254, 4788, 4258?\n\"Answer: -f**3 - 11*f**2 - 196*f + 7042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6480, 6418, 6314, 6168, 5980, 5750, 5478?\nAnswer: 5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 1\/6*b**4 + 0*b - 21\/2*b**2 - 29 + 0*b**3. Let y(v) be the second derivative of g(v). Let d(p) = -12*p**2. Determine d(y(j)).\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 8, 8, 4, -4, -16, -32?\n\"Answer: -2*x**2 + 10*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/14 and -87\/94?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1216250.4 hours?\nAnswer: 50677.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5784 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/315 + (-4)\/(1260\/(-327)) + -1. What is the second biggest value in i, 3, 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, l: 11}. What is prob of picking 3 l?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 - 620*m - 625 = 0?\nAnswer: -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 8. Let y be c(-2). Let x(l) = 3*l**2 + 11*l + 4. Let i be x(y). Suppose -4 = -i*s + 4*s. What is the fourth smallest value in 2\/11, 3, s, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100111001001 (base 2) to base 15\nAnswer: -1e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14289?\nAnswer: 3, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a. Let w(b) = -b**2 - 5*b + 7. Suppose -o = 6 - 0. Let c be w(o). Suppose 4 + c = -5*y. Calculate q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*m = -46, 0 = 2*f + 4*m - 1 + 7. Suppose 0 = -4*h - 8, 4*h = f*t - 12*t + 4767. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from qkkkqkkk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*5\/18 + (-6)\/6. Is i <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4760 and 71\/3570.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, l: 1, j: 1, v: 2, s: 5}. Give prob of picking 1 s and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2382 = -5*z - 1789, -2*z = -4*c + 8334. Let s = c - 1469. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4244 = -0*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5158337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2034 times -0.4?\nAnswer: -0.08136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*92\/1610*35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) 11317 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (2*(1 + sqrt(1331) + 2 + 0))**2 + -1).\nAnswer: 528*sqrt(11) + 10714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 20. Let k be -1 + 0 + -1 + 119. What is the highest common divisor of k and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**2 + 5*d + 5. Let q(z) = -2 - 2 - 20*z**2 + 13 + 8*z - 1. Suppose -1 = -5*g + 24. Let i(m) = g*q(m) - 8*c(m). Let l(v) = 4*v. What is i(l(t))?\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4150332 - -13?\nAnswer: 4150345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 3*a**3 + 0*a**3 + 48 - 13 + 2*a**4 in the form f*a**2 + l*a**4 + k*a**3 + h*a + r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 4*o)*(-3*o + 4*o - 5*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 33886529 - 7914046 - 17567454 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(12) + ((sqrt(33) + (sqrt(33) - sqrt(528)) + sqrt(33))\/sqrt(3))**2)*6.\nAnswer: 6*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17.2 * -0.01\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/17, 0.43, 0.02, -2\/9, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1043*p + 99*p - 6330 - 12550 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 - 7. Let u be q(4). Suppose 5*s - u = 91. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520876 divided by -130219\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*f**3 + 24*f - 64\/5 - 64\/5*f**2 + 2\/5*f**4 = 0. Calculate f.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366887\/30 - 12231. Find the common denominator of d and 125\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:45 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and (3060\/(-187) - 6)\/(3\/(-33))?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x + 0*x)*(-103 + 9 - 27).\nAnswer: -242*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 2. Let m(b) = -1. Let o(r) = a(r) + 5*m(r). Let j be o(-6). Find the second derivative of 0*s**j - s + 4*s**5 + 2*s wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125755.9 seconds to milliseconds.\nAnswer: 125755900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*sqrt(108) + 2*(4 + sqrt(3))*1.\nAnswer: 8 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 2}. Give prob of picking 1 f and 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from qqwatqtqs.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 90*d - 1021. Let w(i) = 167*i - 2041. Let z(l) = 3*w(l) - 5*y(l). Differentiate z(b) wrt b.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*v - 10, 4*q - q + 5*v = 14. Suppose 104 = q*d - 67. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5235 + 11966. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349787\/130043610 + -17\/6210. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/3862 and -47\/356.\nAnswer: 687436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = -5*x, -4*n + 15 = 2*x - 1. Solve -3*m = x*r - 2*r - 21, r - 18 = -3*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x - 8. Let w = -12 + 17. Suppose -w*b = -f + 3*f - 45, -2*b + 2*f + 4 = 0. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -4.11. Put -2, y, -0.4 in descending order.\nAnswer: y, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80\/3*g**4 + 5\/3*g**5 + 150*g**3 + 625\/3*g + 0 - 1000\/3*g**2 = 0. What is g?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 33*c - 98\/3.\nAnswer: -(c + 1)*(c + 98)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11868 is divided by 2955?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658 + 22 + 18529*r - 18527*r.\nAnswer: 2*r + 680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 - 328. Put u, 3, 2 in decreasing order.\nAnswer: u, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*n - 34*n + 253 + 52 = 0. Put 3, -1, n, 37 in descending order.\nAnswer: 37, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -60.01. What is the second biggest value in 3, -10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 273, 66 in increasing order.\nAnswer: 2, 66, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 60*u**2 - 10*u + 25. List the prime factors of y(-6).\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 - 0.053155\nAnswer: -334.053155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32239\/2 + -16117. Let g(k) be the second derivative of -22*k - 3*k**5 + 0*k**2 - 5\/3*k**6 + 0 - t*k**4 - 5\/6*k**3 - 5\/14*k**7. Factor g(r).\nAnswer: -5*r*(r + 1)**3*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 6*x + 1792 = 3*x + 823 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82928 divided by 4?\nAnswer: 20732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by 19491.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = -682 + 532 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77452, 155173, 233388, 312343, 392284, 473457, 556108, 640483?\nAnswer: 726828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*c**4 + 264281*c*f**2 - 40*f**2 + 31*f - 1139 wrt c.\nAnswer: 296*c**3 + 264281*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.9148 + 0.0148. Let x = k + 24.9. Put 0.1, -0.06, x in decreasing order.\nAnswer: 0.1, -0.06, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 29 + 10*d**2 - 29 - 5*d**5 + 15*d**3 = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 1. Let d be p(-1). Let r = 9 + d. List 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 4 divided by -8160?\nAnswer: -1\/2040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j + 637 = -208 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-12 - (-2 - 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -4*p**7\/273 - p**6\/13 - 2*p**5\/13 - 5*p**4\/39 + p**2\/13 + p + 6. Factor u(a).\nAnswer: -2*(a + 1)**4*(4*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -973, -1508, -2113, -2812, -3629, -4588?\nAnswer: -5713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 131. Let x be (1 + z*(-5)\/10)*7. Solve b + 1 = l - 2*l, l = b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - 5688\/(-32))\/(3\/64).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1078 or 268?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8 - 6*l + l**2 - 4*l + 9 - 3*l. Let f be h(14). Suppose 0 = -v - f + 30. Is v greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*g - 1415 = 255, 0 = 4*j + 5*g - 3344. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1292.6612 - -0.1388. Let c = l - 1296. Let g = 0.37 - 0.07. Sort g, c, -1\/2 in decreasing order.\nAnswer: g, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1588 and 44506082.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -6 (c) -1 (d) -0.984\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1\/11 (b) 2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -16 (b) 50 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 1\/1)*(-329)\/14. Let y = -48 + f. Let m(q) = -38*q - 1. Is m(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -18) + 6 + (9 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 0 - (223 - 130) - -18\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27758640 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77386359?\nAnswer: 3, 107, 241079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:48 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/12 - 19*y**3\/6 + 17*y**2 - 29*y. Let t be j(17). Factor t - 3\/2*l - 3\/4*l**2 + 3\/4*l**3.\nAnswer: 3*l*(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*k**2 + 962*k**2 + 588*k**2 + 1878*k**2.\nAnswer: 3047*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16918440 divided by 604230\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43623?\nAnswer: 3, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - o**2 - 8*o + 2*o**2 - 2. Suppose -5*s + 846 = 13*s. Suppose -52 = -h - s. Calculate q(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 563 (base 7) to base 4\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/7 - 3735728*p**3\/7 - 3488915922496*p**2\/7 = 0. Calculate p.\nAnswer: -1867864, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/2*(-12)\/84.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 2*r**2 - 3. Let j(u) = 11 - 7*u**2 - 6*u**3 + u - 1 + 0*u**2. What is 7*d(i) + 2*j(i)?\nAnswer: 2*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-89)\/(-2) + (-3)\/(-6). Let s(g) = -843*g - 3312. Let i be s(-4). What is the highest common factor of i and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -7. Suppose -8*j + 3*j = -o - 18, x = -j + 2*o. Suppose -13 = -4*k - 5*s, j*k + 4*s - 7 = 5. Solve -2*h + 6 = 0, 2*i - k*h = -2*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 + 7*f + 4. Let l be s(7). Put -15, l, -4 in decreasing order.\nAnswer: l, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10354322887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*h + h - 5*y, -4*y - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 265.663, -0.3 in descending order.\nAnswer: 265.663, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43255083 a multiple of 2095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568\/1369141 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*w**3 - 20 + 20)*(15 - 14 - 15)*(-4 + 2 - 1) to the form q*w**2 + k*w**3 + a + n*w and give k.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 - 2*f + 377. Let b be s(0). What is the greatest common factor of b and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30088747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + s - 5. Let o(y) = 4*y**2 + y - 5. Give 6*g(m) - 5*o(m).\nAnswer: -2*m**2 + m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834291 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 60. Let n be t\/(-10)*4 + -20058. Is n\/(-8) - ((-12)\/(-1))\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 3*b, 5*c + 5*b = -0*b + 10. Suppose -5*r - c + 17 = 0. Suppose -r*x = -x. Solve -2*l - 8 = x, d + l + 2 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -40. Let m be 4\/6 - 62\/84. Sort 0.3, m, 3\/4, w in decreasing order.\nAnswer: w, 3\/4, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -a + 5*v - 4*v, 0 = 5*v + 20. Suppose 5*x = 2*c - 41, -6*c + 131 = -c - 3*x. What is the tens digit of c - (-2*6)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127535+24115558\nAnswer: 24243093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*d = 60*d + 237897. Is d at most 2673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) - (-32)\/34. Suppose 5*q + 30 + 20 = 0. Let m(l) = l**3 + 9*l**2 - 11*l - 11. Let u be m(q). Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -0.9. Let i = s - -1.5. Suppose 0 = o + 4, 5*r = -o + 3 - 2. Which is the closest to r? (a) -2 (b) i (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1803, 3138, 4473, 5808?\n\"Answer: 1335*v + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10385755 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1159165.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3909, 15629, 35171, 62541, 97745, 140789, 191679, 250421?\nAnswer: 317021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:12 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.083, 39.1, 4.22?\nAnswer: 39.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -z - 10, -4*b = -4*z - 3*b + 2. Solve -5*x - 4*l = -3, z = 3*x + 5*l - 5 - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/13*(-28288)\/(-640)*(-15)\/(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -153. Solve 0*d = -d - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-26 + 8 + 12 + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 3. Let v be z(-7). Let s(n) = 20*n**2 + 9*n - 7. Calculate the remainder when s(v) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6616 - 97?\nAnswer: -6713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 7. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32739 is divided by 30063.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3\/5 + 1623*k**2\/5 + 41328*k - 694980 = 0?\nAnswer: -286, -270, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((61\/122)\/(5\/3))\/(-3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*z - 17. Is (5\/(30\/(-2979)))\/(z\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 573 - 537.9. Let w = u + -32.1. What is the third biggest value in 1, w, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 2. Suppose -2*g + 44 = -2*r, 2*g - 4*r - 63 = -g. Let k = 19 - g. Let v(b) = b**3 + 4*b**2 - 13*b - 6. Let w be v(k). Calculate o(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -130. What is the common denominator of (1\/(-2))\/(20\/n) and 31\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -565587, -565574, -565563, -565554?\n\"Answer: -f**2 + 16*f - 565602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1162, -4, -2, 1\/24, 3?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, -4, -83.\nAnswer: -83, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2413*r = -2408*r + 27, -1 = -4*g - r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450 divided by 50?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1280560 and -0.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k - 1577039 = -4561151. List the prime factors of k.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988 = -280*m - 972 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*3\/48*-10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215453*s**4 + s**3 - 977*s**2 + 33 wrt s?\nAnswer: 5170872*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(192) - ((sqrt(3)*1)**2 + 1).\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25441 (base 8) to base 6.\nAnswer: -123041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 4*n**2 + 0 + 1 - n**4 - n**4 to k*n**3 + c*n + j + w*n**4 + o*n**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a**2 - 2983*a - 42741. Give p(312).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) -6 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 881 - 866. Suppose -15 = -o*s + 75. Solve 5*p - s = -3*z + 14, -4 = 3*z - p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 11*v**2 - 10*v + 8. Let t be i(10). Suppose -g = -0 - t. Let c be ((-192)\/(-112) - 4\/(-14))*2. Solve -c + g = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 22028862?\nAnswer: -22028864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 0*c - 2*k = 5*c + 17*k - 141, 0 = -4*k + 15 - 3 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 16) to base 11\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 43 = 33. Find the third derivative of 12*r**4 - 19*r**3 + q*r**3 + 9*r**2 wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(5\/8))\/(48\/(-156))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26280 divided by -6?\nAnswer: -4380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38808, 77614, 116420, 155226?\nAnswer: 194032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (63\/(-45))\/((-9)\/(-5)). Let b = x + 4\/9. What is the smallest value in 5, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 + 3*i - 11. Let w be r(1). Put -1\/6, w, -2\/17, 0.22 in decreasing order.\nAnswer: 0.22, -2\/17, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1302 or 5\/851?\nAnswer: 1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1886180?\nAnswer: -1886185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 4*p**3 + 0*p**3 + 15*p**3 + 13*p**3 + 49*p**3 + (-3*p - 1 + 1)*(-3*p**2 + 2*p**2 - p**2).\nAnswer: 86*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 1377.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -8996277 and -8996275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**2 + 24004*m - 12000 = 0. What is m?\nAnswer: 1\/2, 3000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**(-2\/9)\/h*h**5\/(h\/(h*h*h\/(h\/h**8)*h)))\/((h**(-2\/11)\/h*h**(-5\/6))\/(h**(-2\/9))**(1\/6)) assuming h is positive.\nAnswer: h**(8171\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from aaannnaa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**7 + w**3\/3 - 4. What is the third derivative of d(h) wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2952108517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = -12. Let m = 3.81 - 7. Let r = m + 3.49. What is the third smallest value in i, r, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 961, 3501, 7617, 13309, 20577, 29421, 39841?\n\"Answer: 788*d**2 + 176*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*-1 + sqrt(204) - sqrt(204))*2*4)\/((sqrt(12) - (sqrt(12) + sqrt(108)\/(sqrt(729) + sqrt(9))))*-6))**2.\nAnswer: 27200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 3. Let l(m) = -13*m + 8. Determine 7*j(c) + 2*l(c).\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (337 - 1199 - 3035 + 122)*(2*u - 3*u + 6*u).\nAnswer: -18875*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 29*x - 11 = 2*m, 2*x = -5*m - 5. Solve -x*a - 13 = -4*u, u + 14 = -a - 2*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 12*y**2 + 10*y + 27. What is the smallest common multiple of 48 and a(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -650.\nAnswer: -71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6067711 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/29529 and -55\/49413.\nAnswer: 486372159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29564 weeks in microseconds?\nAnswer: 8041203072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -132. Let g = 120 - c. Let i = 41 - g. Let z(p) = -p**3 - 4*p**2. Let q(d) = d**2. Give i*z(y) - 4*q(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 114. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11243*n - 13667*n + 219198 = -22761*n for n.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -8. Let o = a - 10.97. Let j = o - -4.97. Sort j, -0.4, 4 in ascending order.\nAnswer: -0.4, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14109 and 21.\nAnswer: 98763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 59. Let w = n + -22. Let g = -66 + 70. What is the smallest common multiple of g and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3137627.\nAnswer: 3137627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 50 - 29)*(2 - y - 2 + (2 - 3 + 2)*(2 - y - 2))*(2*y**2 - 5*y**2 + 4*y**2 + y**2 - 2*y**2 - y**2 + (0*y - 2*y + 6*y)*(-2*y - 5*y + 3*y)).\nAnswer: -680*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 11 = -p, 5*p - 9*p + 11 = g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201.096mm in meters?\nAnswer: 4.201096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388.3166l to millilitres.\nAnswer: 388316.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, 61, 1371, 3215, 5599, 8529?\nAnswer: 12011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -33*l + 6*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 divided by 255?\nAnswer: 1282\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1, c = 5*u - 2*u - 1. Let w(r) = -c*r + 2 - 1 - 2. Calculate w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/19?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20184574*u**5 - 14096086*u**2?\nAnswer: 1211074440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 72. What is the least common multiple of g and 2?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:06 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1859 - 1858. Let b be 16\/12*(-15)\/(-2). Let d be (-1 - b\/2) + 1. What is the second biggest value in d, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - -56334?\nAnswer: 56306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let o(g) = -5*g + 1. Calculate o(m(x)).\nAnswer: 10*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 272*h = 269*h - 66, -44 = 2*w - h + 4*h + 2*h for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5542*l + 404498. Determine g(-74).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 50 + 10 = 0. Let u be (6\/n)\/((-2)\/40). Let d(k) = 3*k - 6. What is the tens digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/273435011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 4*f + 2. Suppose -h + 2 = -0*h. Suppose 0 = -p + 3*k, -4*p + 0*p + h*k = -10. Suppose -6*s = -g - 3*s - 13, -p = g - s. Determine r(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose 0 = -3*u - 2*p + 1, 2*p = u - m*p - 23. Find the second derivative of 113*q**4 - u*q**5 - 113*q**4 - q wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -7.9.\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 - 1 = 0. Let w(o) be the third derivative of o**5\/60 + o**4\/24 + 2*o**3\/3 + o**2. What is the units digit of w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 10*k - 15. Let c be r(-8). Let y be (-2)\/(-2) + (-4)\/2. Suppose 4*n + 12 = -f - 0*f, -16 = 3*f + 2*n. Sort f, y, c in descending order.\nAnswer: c, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(12*(-56)\/210). Let y(p) be the first derivative of 7 + 30*p**3 + 1080*p - b*p**4 - 270*p**2. Suppose y(k) = 0. Calculate k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -515672*u + 1. Let y be x(-6). Suppose 0 = m + 4*i + 5200000, -m + i = 2105967 + y. What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 5*g**2 + 4*g**2 + 0*g**2 - 107172*g.\nAnswer: -g**2 - 107172*g + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 2*w**4)*(-2*w + w + 3*w) - 2*w**2 + 2*w**2 - 3*w**5 - 3*w**5 - 4*w**5 + 3*w**5 + (w**4 - 4*w + 4*w)*(4 - 4 + w).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/18)\/((-16)\/108). Which is the biggest value? (a) -4 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 226, 450, 674, 898, 1122, 1346?\n\"Answer: 224*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5 + 8128700*d**3 - 10676553*d**2.\nAnswer: 180*d**2 + 48772200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 9*l**2 + 4*l - 17. Let d be n(-6). Suppose u + 63 = d. Solve 3*y = v + 9, -5*y + 0 = u*v + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**2 - x**2 + 7*x**2 - 4*x**2 to the form b + g*x**2 + h*x and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*z - 1, -18 = -14*z + 10*z - 3*y. Let x(p) be the second derivative of p**4\/12 - p**3\/3 + 3*p**2 - 3*p. Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a16294 (base 11) in base 7?\nAnswer: 62000066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12675.2 times 9\nAnswer: 114076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.1. Let y be (-8)\/30 + 4\/(-10). Let x = -0.47 - -0.17. Which is the third smallest value? (a) y (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12439012 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15716 + 8859 = -983*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 + 285*g**3 + 6327*g**2 - 21021*g + 14406 = 0.\nAnswer: -49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 8, x: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/10 - 13*s**4\/24 - s**3\/2 - 39*s**2. Let i be p(5). Suppose 0 = 4*y - 42 - i. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312743 - -457714. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*m - 99*m + 24. Let u = 25 + m. Let x = u + -12. Solve -x*l - 1 = 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2372 - (15 + -17)) + (-1 - -5).\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301389 - 34257 + 139113 = 21*x. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 9*y + 6*y + 3*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 237104961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 145*u - u**2 - 3 + 145*u as o*u**2 + l*u**3 + s + m*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**14)\/c*((c*c\/(c\/(c\/(c*c**7))))\/c)\/c)**(4\/23)*(((c*(c**2\/c)\/c*c)\/c)\/c)**(6\/37)*(c\/c**2)**(1\/5) assuming c is positive.\nAnswer: c**(-463\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiglgigii.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, -3, -3\/4, 55, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -89643 smaller than -92191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2137*k**3*u**3 + 881*k*u**2 + 2*u**3 wrt k?\nAnswer: 12822*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 24*u + 2. Let b be m(24). Let w be (3\/(18\/(-4)))\/(10\/(-15)). Let r be 8\/3 + (-2)\/(-6). Solve r*v - b = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = 4*i, 5*i - 26 = -5*x - 11. Calculate the highest common divisor of 40 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*m**5*s**2 - 43*m**2*s**2 + m*s**2 - 2*m*s + m - 1885*s**2 wrt m.\nAnswer: 2020*m**3*s**2 - 86*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*b - 23*b + 7*b - 486)*(0 - 2 + 3)*(-b - 4 + 4) as s + q*b**2 + y*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/180 + 5*o**4\/18 - 14*o**3\/3 + 6*o**2 - 3*o + 18. Solve m(h) = 0.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11151081 a multiple of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 + 16*y**2 + 12*y - 11. Let o(f) = -2 - 2 + f**3 + 3*f + 4*f**2 + 1 + 0*f. Let a(v) = 2*b(v) - 9*o(v). What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385988 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150349356 to the power of 1\/2, to the nearest integer?\nAnswer: 12262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 4*i)*(0*i + 10*i + 4*i - 1).\nAnswer: 28*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1 (c) 91586\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) 1\/5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/70 + 7*u**5\/20 + 3*u**4\/4 - 52*u**2. Factor r(i).\nAnswer: -3*i*(i - 3)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-7624664\nAnswer: 228739.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0 - 10. Let l(u) = u**2 + 11*u + 28. Let s be l(-8). Let g be (2\/s)\/((-23)\/138). Put -7, 3, g, d in decreasing order.\nAnswer: d, 3, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**2*s**5 + 3*m**2*s**2 + m**2 + 6900*m*s**5 + 10*m*s**2 + 2*s wrt s?\nAnswer: -240*m**2*s**2 + 414000*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.5. Let o = -0.08 - -0.18. What is the closest to o in -0.5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603, -591, -559, -501, -411, -283, -111?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 1. Let v be x(0). Let n be (-14)\/7 - (-6)\/v. Solve -16 = -0*r - n*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-30)*(0 + 138) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49221 + -10776. List the prime factors of n.\nAnswer: 3, 5, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1953 + 3289. Is -2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxhhxxtxtxx. What is prob of picking 1 h and 1 x?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/567 and 137\/324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*l - 217*l + 153 - 215*l - 211*l.\nAnswer: 2*l + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 take away -177154315190?\nAnswer: 177154315493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -24*b + 40. Let d(t) = 25*t - 41. Let m be ((-12)\/(-16))\/((-1)\/(-4)). Let u(l) = m*d(l) + 2*y(l). What is the derivative of u(j) wrt j?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-16) - (-20)\/16. What is the third derivative of -15*x**n + 364 + 18*x**5 - 364 wrt x?\nAnswer: 1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3920 * -0.5\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 59. Let w be (-5 - -15)\/(1*2). Calculate the greatest common factor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - m = 3*l - 8, l = 3*m + 4. What is the remainder when ((-21)\/l)\/(1 - 10\/16) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s. Suppose -2*n + 5*b - 10 = 0, s*n = -4*n - b - 20. Let o be (-8)\/(-6)*9\/114. Sort -2, o, n.\nAnswer: n, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.4. Let s = 354 + -353.7. Which is the closest to -0.1? (a) w (b) 1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 5, -1\/174, 8\/5, 1\/96.\nAnswer: -2\/9, -1\/174, 1\/96, 8\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7809020 rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000882599948 rounded to seven dps?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:38 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 566?\nAnswer: -19\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrx when three letters picked without replacement from hrrxxxvarrx.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 - 24*d - 10. Let f(r) = r**3 + r + 1. Calculate 4*f(o) + h(o).\nAnswer: -2*o**3 - 20*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 99 - 19410*j - 103 + 292.\nAnswer: -19410*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 3. Calculate the remainder when 42 is divided by m(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 1127.\nAnswer: 10143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3176*n - 142933. Determine v(-45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53548.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553.9879 nanometers in kilometers?\nAnswer: 0.0000000005539879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p - 5*n - 153 = 0, n - 765 = 5*p. Let v = -1073\/7 - p. Let c = -43\/28 - -16\/7. What is the closest to v in c, -2\/9, 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:18 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 2. Let f be d(-4). Let u be (-2)\/3*f\/(-24). Which is the second smallest value? (a) 1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57488.49 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14250)*19)\/((3\/(-6))\/((-5)\/(-6)))\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1283 - 5171 = -14*r. Let u(w) = -933 + r - 6*w + 467. Let o(b) = 24*b + 21. What is -5*o(k) - 21*u(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1917*c**3 + 36787*c?\nAnswer: -11502*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*p**2*y*z + 1883*p**2*z**2 - 5*p**2*z - 3*p**2 + 2*p*y*z**2 + 2*y wrt z?\nAnswer: 3766*p**2 + 4*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 10*f**2 - 8*f - 1. Let u be c(-9). Let p be (-2 - 166)*(-5)\/u. Let z be 1*(-5)\/(10\/p). What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 12. Let s be k(5). Suppose 76 = s*d + 5*q - 101, 150 = 2*d - 4*q. Let l = -52 + d. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5. Let f = 1585 + -1596. Let v(d) = d**3 + 25. Calculate f*o(g) + 2*v(g).\nAnswer: 2*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 10. Let y(g) = 31*g + 17. What is the tens digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -447b + 4?\nAnswer: -4477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 14*u - 8. Let o be a(5). Suppose 13*c + o = -97. Which is smaller: -20 or c?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -75051\/358 and -211 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*t + 12, -m - 19 + 7 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 4 = 5*d. Let v(f) = f + 2. Let b be v(d). Let n(u) = 2*u**2 + 2*u. What is the remainder when 23 is divided by n(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/1560*45)\/((-6363)\/1584 + 4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.37*-14.\nAnswer: 103.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 3*l - 3*l)*(-176 - 20 + 38) in the form a*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7966 and 608509084.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 123501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 169325988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxaxwmwxxawxmmmxmmx. What is prob of picking 1 a, 1 x, 1 u, and 1 m?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 + 4*z - 3. Let h be b(3). Let n be (-4)\/(3*4\/(-408)). Let g = h + n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/20 - 3*q**4\/4 + q**3\/6 + 11*q**2\/2 + q. Let m be y(-9). What is the units digit of 1*m*(2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -15*a**6\/8 - a**5\/2 + 11*a**4\/48 + a**3\/12 + 743*a. What is k in r(k) = 0?\nAnswer: -1\/5, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 22*m**3 + 15 + 14 + 2*m**2 + m - 24*m**3 + 0*m to q*m**4 + n*m + c*m**2 + j*m**3 + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -5*d**2 + 6*d**2 + 3 - 2*d + 2. What is the first derivative of b(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3512673, -7025384, -10538095?\nAnswer: -14050806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 21. Let o be d(10). Let j be o + 2*63 - 4. Suppose 4*l + b - j = 0, -4*l - l - 5*b = -165. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 96000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33972402 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 146611596 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l**6*l)\/l)\/(l*l**(-1\/7)))\/(l*l**(-3)*l**(1\/5)*l*l))\/((l**(2\/7))**(1\/25)\/(l**(1\/3)*l)**(-38\/7)) assuming l is positive.\nAnswer: l**(-98\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 118\/23, 11.85?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 8712.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 10. Let v be d(-11). Suppose 3*i - 7 = v. Let q = 260 - 256. Solve 2 = -q*t + i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 4 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 136 = 5*z + 44, -12 = -3*z. Calculate the smallest common multiple of 4 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-5*a**2 - 3*a**2 + 6*a**2 + (0 + 0 + 2*a)*(2*a - 6*a + 2*a) - 2*a**2 - 3 + 3 - 3*a**2 - 3*a**2 + 5*a**2 - 4*a**2 + 3*a**2 - a**2).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 3 + q**2 - 3*q - 4 + 0*q. Let l be g(-2). Solve -5*m - l - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -451 + 36*d**2 + 451 + 2*d**2 + 2*d**2 - 2*d**2 + (-2*d + 6*d - 3*d)*(2*d - 2*d + d) + 2*d**2 + 3*d - 3*d.\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let a = -0.09 - -0.47. Let y = s - a. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 q, and 1 x when four letters picked without replacement from aqqaaqqqxqaqqqaqq?\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 135 = -3*d + 4*l - 198, -16*l - 36 = 4*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 292959971, 585919944, 878879917, 1171839890, 1464799863, 1757759836?\n\"Answer: 292959973*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 73*d**3 - d**2 + 6*d - 6. What is the smallest common multiple of 6 and b(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 1202130*l + 361279134225 = 0.\nAnswer: -601065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16046826 and 97088?\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(16*l**2 - 5*l**3 - 2*l - 13*l**2 - 14*l**2).\nAnswer: 10*l**3 + 22*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3\/2 - 41*k**2 + k - 43. Let r be l(32). Put 2, -1, r, 5 in decreasing order.\nAnswer: r, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 32*b - 207. Let p be n(9). Solve 3*j - 4*v - 6 = 0, 11*j - 16*j + v - 7 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.7 - 6. Let r = -0.4 - u. Sort -5, r, -0.5 in ascending order.\nAnswer: -5, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*d**2 - 6*d - 557*d**2 - 10220*d**2 - 81 + 81.\nAnswer: -10867*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*o + 156 - 166, w + 2 = -4*o for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -688*f - 269 wrt f.\nAnswer: -688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {v: 3, u: 1, l: 2, w: 6, a: 4, n: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*f = -3*f - 27, -3*f - 18 = -t. Suppose -5*p - t = -6*p. Solve 1 + 11 = -p*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 44*y - 25. Let b be m(10). Let f = b - 150. Is f\/2 - 3\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d + 4. Let o(j) = -j - 1. Let p(g) = -m(g) - 4*o(g). Let n(q) = 66*q + 65*q + 57*q - 184*q. Calculate 14*n(r) + 4*p(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p**3 - p**2 + p + 1. Suppose -115 - 77 = -24*t. Calculate the remainder when a(-1) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**2 + 14*i**2 - 3*i**4 - 15 - 40*i**2 + 2*i**3 + 14*i**2 + 6 to the form z + f*i**4 + k*i**2 + l*i**3 + n*i and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/105 and -41\/112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - q + 8. Let w be t(7). Factor 2 + 2*y**2 - 3 + w.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 0*f + 0*f)*(-f + 6*f + 0*f)*(-2 + 2 + 4) as b*f + h + r*f**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 20 = 4*s. Suppose 0 = s*f - 26 + 14. Suppose -f*g = 7*g. Solve -4*a - 12 = -g*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1132 divided by -283.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*v - 2*g, 25*v - 22*v + 5*g + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176108 is divided by 392036.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(264)*3)\/(sqrt(486) - 2*sqrt(486)))**2 + (2*(sqrt(3564) + -1 + sqrt(3564) + -4))**2.\nAnswer: -1440*sqrt(11) + 514319\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - c + 3*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-13) - 3270\/(-130). Let p = 30 - v. Let f be (-3)\/((-4)\/(p + -1)). Solve -f = u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + g**2 - g**2. Let d(r) be the second derivative of r**3\/6 - 6*r. Calculate v(d(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 3356*k\/11 + 1132416\/11.\nAnswer: -2*(k - 288)*(k + 1966)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-459)\/12*416\/(-24)*2. Let x be (-30)\/(-45) - 896\/v. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31169 and 0.06903.\nAnswer: -2151.59607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3647 - 3188. What is the greatest common divisor of y and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 2*x - 11 = -3*m, 5*x + m - 15 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 264307\nAnswer: 26430.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 35453 = 5*o - 188967, 5*a - 15 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2356\/57 - 1\/3. What is the second derivative of 100*l**4 - 3*l - b*l**4 - 43*l**4 wrt l?\nAnswer: 192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 - 7*z**2 + z + 120. What is the units digit of p(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 26. Determine k(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380 - 232. Let o = r - 148.00000077. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-446)\/(-10) - 2\/(-5). Calculate the lowest common multiple of (-1)\/3 - (-250)\/30 and u\/6*(-16)\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 10 = -68. What is the remainder when 34 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 1*sqrt(133) - sqrt(133))*4 + (sqrt(133)*-2 - sqrt(133))*-2)\/(3*((sqrt(77)*-2)\/sqrt(11) + sqrt(7))).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72674021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(300) - (sqrt(300) + 2*sqrt(300)) - sqrt(300)) - (sqrt(300) + 1 + 5)) + -4 + 2)**2.\nAnswer: 640*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.1171 rounded to 1 decimal place?\nAnswer: 277.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15066 + 15070. Determine s, given that -8\/3*s**5 + 26\/3*s**y - 26\/3*s**2 + 8\/3*s**3 + 0*s + 0 = 0.\nAnswer: -1, 0, 1, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.165 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-126 - -181)) + (6 - -2)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 1 - -28 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-458976)\/(-30) + (-8)\/(-10). Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 945499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175 divided by 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4238\/77 + -314\/7. Let n = 10 - t. Find the common denominator of n and -69\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.36 (b) -0.4 (c) 4\/11 (d) 1\/2 (e) 9 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 5*i**3 - 2*i**3 + (i - 4*i + 2*i)*(3*i**2 - 4*i**2 + 3*i**2) + (-3 - 12 + 13 - 22*i)*(346 - 346 + 73*i**2).\nAnswer: -1607*i**3 - 146*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from {w: 2, p: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -470852\nAnswer: 1883408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.69301161 - -2.693. Round g to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 146685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1333 and -1335 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -5\/111 (c) 269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.74, -11, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26829 - 26829 + 483*a)*(-2 + 0 + 1)*(-2 + 7 - 4).\nAnswer: -483*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - h = 2, -9*r + 105*h = 109*h + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1442)\/2 + (-107 - -103). Let r = k - -725. Which is bigger: -4\/125 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2674641, 5349226, 8023823, 10698432, 13373053?\n\"Answer: 6*n**2 + 2674567*n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/80 and 19\/1511.\nAnswer: 120880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*j + 4*j + 613, j = v - 628. Let w = v + -345. Suppose -436 = -5*x - 5*a - 61, 4*x - w = -a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11977*q + 11427*q - 22057*q to t*q + b and give t.\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888901569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 148*j**3 + 2792*j**2 - 62608*j = 0.\nAnswer: -26, 0, 14, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 5?\nAnswer: -146\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.731129 + -20.53112. Let b = -320 + 322.2. Let l = s - b. What is l rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11031 (base 4) to base 11.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*d + 35, -168*d - 5*k = -173*d + 75. Solve -d = 2*h - 3*h + 2*x, 5*h + 3*x - 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 80*y + 4639. Let s be p(-58). Let h = -1.6 - 0.4. Let m = -1.7 + 2.1. Which is the closest to s? (a) m (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/4 + 115*n**2\/2 = 0.\nAnswer: -230, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4217657 (base 8) in base 4?\nAnswer: -10101332233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 5*q - 13, -4*l = 5*q + 15. Suppose -4*h + 159 + 97 = l. Suppose -r + h = r. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/120 - 3*o**4\/8 + 2*o**3 + 3*o**2. Let h(s) be the first derivative of p(s). Give h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 2}. What is prob of sequence mm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 99*x + 28*x**2 - 49*x - 50*x. Let g(o) = -o**2 + 3*o - 3. Let m(n) = 2*n**2 - 4*n + 4. Let p(b) = -4*g(b) - 3*m(b). Give y(p(k)).\nAnswer: 112*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.48231 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 33 (b) 0.5 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41322 + -1341?\nAnswer: -43103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -680.\nAnswer: -3\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*(-2)\/(-4). Which is the nearest to 1\/4? (a) l (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10451.817227428475 + 897155291.817236028475. Let x = 897144932 - c. Let f = x - 92. Round f to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395566.4413 rounded to the nearest 1000?\nAnswer: -396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 2*q**4 - 3*q + (-4 - q**3 + 4)*(-q + 3 - 3) - 3*q + 3*q - 4*q**4.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20561, 41155, 61785, 82451, 103153, 123891, 144665?\nAnswer: 165475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156388379019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 138 + 127 - 716 + 2*c in the form v + x*c and give v.\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + 1)*8\/(-12). Let c be 51 + h - (-2 + 5). Suppose -l = -g + 6*g - c, 3*l - 72 = -3*g. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*u + 254, 4*k - 2*k + 83 = -5*u. Let g be 14\/k*(-22)\/(-4). Is g at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107, 212, 317, 422?\n\"Answer: 105*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = t - 6, -2*t - 2*o - 22 = -6*t. Let g(k) = k + t*k - 5*k + 1. Let x(s) be the second derivative of -s**3 - 5*s**2 - 2*s. Determine -10*g(a) - x(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 113840*l**2 - l + 9 + 4*l + 425879*l**2 + 786811*l**2. Let a be u(7). What is a rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 2355, 3045, 3413?\nAnswer: 3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 12:03 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -37026.\nAnswer: -113\/37026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 19 + 39. Suppose c = 6*c + 4*a - 82, 3*c - s*a - 64 = 0. Solve -3*w = 2*x + 3*x + c, 2*x + 4*w = -10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10936527 minus -2.3644?\nAnswer: -10936524.6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 - 6 = 0. Let g be 4\/(y*3\/6). Solve -g*t + 7 - 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 2*n**3 - 3*n**3 + n + (-1 + 1 + n**3)*(-4 + 2 + 3).\nAnswer: -6*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 48. Let v(s) = -75*s - 137. Give 3*r(z) + v(z).\nAnswer: -69*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 2\/5 (c) -512 (d) -5 (e) -0.1 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from qpljvlhhhjhhjhhhhqh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/26 or -163349?\nAnswer: -163349","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06369301 - -0.063.\nAnswer: 0.12669301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdvv when four letters picked without replacement from {d: 1, y: 8, v: 2, c: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -52. Sort 1, b, 2 in decreasing order.\nAnswer: b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*a. Let u(r) be the first derivative of 2*r**3 + 4 + 4 - 4*r + a + r**2. Factor u(i).\nAnswer: 2*(i + 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -20 - 7. Let d(c) = 2*c**2 - 15*c - 1. Let w be d(k). Suppose -w*b - 2 = -28*b. Sort -0.4, -1\/3, 2\/9, b in decreasing order.\nAnswer: b, 2\/9, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87363 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((46 - 11) + -27 - (1 - 2) - 8) + 50.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from gxgxgxgxgg.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 4164575*j + 4164580.\nAnswer: -5*(j - 832916)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -17 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 24*g - 1. Let m be r(-25). Let t = m + -23. Let d = 13 + -9. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24238 - 271362074.\nAnswer: -271337836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67.5 - -66.5. Which is the nearest to -1? (a) 2 (b) 2\/81 (c) 4\/7 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4 + 2\/4. What is the second derivative of 4*k + 2*k - q*k**5 + k**5 - k**5 wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*c = -4*u - 7, -4*u + c = -13. Let q be 7 + 1 - (u + 1). What is the second biggest value in 8\/3, -0.2, q?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 9*i**3 - 115 - 29*i + 3*i - 76. Let f(y) = 2*y**3 + 9*y + 64. Let h(o) = 11*f(o) + 4*m(o). What is the derivative of h(z) wrt z?\nAnswer: 6*z**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 472, 589, 866, 1303?\n\"Answer: 80*q**2 - 123*q + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18*c**2 - 5*c + 30. Let s(x) = 6. Let g(y) = -h(y) + 6*s(y). Does 17 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*i**2 + 7 - 9*i - 36 + 102*i**2 + 13 to the form v*i**2 + s*i + d and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 - 32736*q**2 + 33*q**5 - 9 + 32740*q**2 + 8*q + 22*q**5 + 8*q**3 wrt q?\nAnswer: 3300*q**2 + 48*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326284718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -322148451040 to the nearest one million.\nAnswer: -322148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230211 + 2?\nAnswer: -230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {p: 1, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 18. Suppose -w*n + 4 = -21. Solve n*q + 12 + 13 = 0, -q + 11 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, -1.27, -0.1.\nAnswer: -39, -1.27, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 2 - 2)*(-2*g - 3*g + 6*g) + 0*g**2 - 2*g**2 + 3*g**2)*(7*g**2 + 54*g**2 + 99*g**2)*(-3 - 1 + 2)*(1 + 0 + 0).\nAnswer: -640*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 2. Let y(f) = 3 + 12 - 10 + 5*f. Give 7*s(v) + 3*y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g**4 + 30716589*g**3 - 30716589*g**3 + 3322 - 42*g wrt g?\nAnswer: -36*g**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/5 + 483*b**2\/5 - 13872*b\/5 + 13392\/5 = 0. What is b?\nAnswer: 1, 36, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -14. Let y = 561463 + -103870298\/185. Let b = 10\/37 + y. Is c less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 37. Suppose -5*t = 5*o - 190, m*o - 72 = -t + 36. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 - 2*u**3*x - u**3 + 3*u**2*x + 6*u*x + 4*x wrt u.\nAnswer: -24*u - 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (sqrt(16) - sqrt(16)*-2))\/sqrt(8)*1 + 1 - ((2*sqrt(128)*-3)**2 + -4).\nAnswer: -4603 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u - 9*u - 5*u**2)*(-42 - 45 + 72).\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/((-181)\/(-5792))\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.45450656 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u. Let t(m) = -2*m - 7. Let c be t(-7). Let l be g(c). Let f(y) = l*y - y - y + 1. What is f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/10 + x**3\/2 + 25*x**2. What is the first derivative of n(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/25306233 and -37\/199.\nAnswer: 25306233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -94 (b) 1636 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 - 154. Let b(r) be the second derivative of 0*r**2 + 1\/2*r**4 + 3\/10*r**5 + 0 + 0*r**3 - j*r. Find the third derivative of b(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 53, 187, 447, 875, 1513, 2403, 3587?\nAnswer: 5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1277497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 153. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 2*a - a)*(-3 + 1 + 1)*(-4 + 3 + 2) - 2*a - 3*a + 3*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32ec (base 16) to base 11.\nAnswer: -9881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23397 is divided by 1128?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4444530627?\nAnswer: 3, 1481510209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q + 182478 = 181710 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(-25)\/(-100).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2210, 4424, 6638?\n\"Answer: 2214*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 63370326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*i**3 + 0*i**4 - 52*i**3 - 52*i + 25*i + 24*i - 2*i**4 - 10*i**2 wrt i?\nAnswer: -48*i - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*c - 12, -20*y + 21*y + 3*c - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/59 + -249\/413. Which is the second biggest value? (a) 1 (b) 0.1 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3455, -3253, -3051?\n\"Answer: 202*u - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**2 + 5*b - 26. Let m(n) = 5*n**2 + 2*n - 9. What is -6*a(h) + 17*m(h)?\nAnswer: h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 25 = 5*l + 2*x, -l - 4*x = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 14. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 43. Suppose -4*u - o = -0*u. Let j(t) = -4*t**2 + 9*t - 4. Let n(z) = -2*z**2 + 4*z - 2. Calculate u*j(l) + 9*n(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 3. Let n be a(6). Suppose -5*f = -f. Let p be (f + n)\/(-6) - 0. What is the nearest to -0.2 in p, -1, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112, 508, 1180, 2140, 3400, 4972, 6868, 9100?\n\"Answer: 2*a**3 + 126*a**2 + 4*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - f + 4. What is n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1294 + -6469\/5. What is f in 1\/5*f - r*f**2 + 2\/5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15 + 0*k + 7 - 8 + 11*k. Let g be x(2). What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 8636.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-8) - 3 - -10. Suppose x*q = 5*w + 335, -5*w = -11 - 9. What is the greatest common divisor of q and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996580483.\nAnswer: 3, 13, 25611799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1160.92602 - 1161. Let x = -0.075 - c. Round x to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 + 2*z + 1. Let b be q(-1). What is the tens digit of (-82)\/(-6) + b\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074 take away 29.1?\nAnswer: -2103.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*u + 41700 = -79*u + 571*u + 548*u for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3 - 7. Suppose -3*c = r*c - 20. Suppose -m - c = m. Let v(q) = -3*q + 1. Determine v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-16)*12\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44\/13 (b) -2 (c) 0.3 (d) -1\/4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 46. Let p(i) = -i**2 - 8*i + 4. Let u be 6\/4*126\/(-27). Let d be p(u). What is the highest common factor of l and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-16)\/(-12)*((-45)\/(-4))\/15). Solve -6 = 18*u - 17*u - c, z*u + 3*c - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + -16 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - s**4)*(10 - 10 - 10*s) + 0*s**3 + 0*s**3 + 8*s**5.\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l + 213. Give k(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 4\/1803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**3 + 3*i**2 - 4*i**3 - 4 + 3*i**3 + 2*i + 2*i**2. List the prime factors of f(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u + 64*u + 5 + 65*u + 385*u**3 - 197*u.\nAnswer: 385*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -30*z + 1896. Determine r(67).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:17 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5 + 7624*v**4 - 3609904*v**3 - 21842720*v**2 - 43807744*v - 29245952.\nAnswer: -4*(v - 956)**2*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Let t(u) = u + 5. Let c(o) = -o - 7. Let p(b) = -5*c(b) - 7*t(b). Let s = 0 - -3. Let k(q) = s*p(q) + 2*r(q). Let i(g) = 3*g. Give k(i(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 2.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + u - 41, 4*f - 4*u + 12 = -8. Let c = f + 12. Solve 5*i - c*z = 1 - 38, -3*i - z = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + d**3 - 2*d**3 + 9*d**2 + 13 + 22 + 15*d**2. Let u be i(24). Let t = u + -574. Round t to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79044.3+-1.1228\nAnswer: -79045.4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 5474*u**2 - 3*u.\nAnswer: -5474*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47917?\nAnswer: 47917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 328 = b - 276, -41*n - 420 = 5*b for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4843278 - -329.5297722. Let r = 329.2724 + 0.7276. Let o = z - r. Round o to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose -2*y + 50 = 3*i, -i + 3*i - 42 = 3*y. Let x be (-12 - k)*(-6)\/i. Solve 14 = -3*b - l, l - x*l - 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 72.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260154 and 776?\nAnswer: 1040616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91.4 - -317.6. Let t = 404 - a. What is the smallest value in -10, 0.01, t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - 1*(sqrt(1872) + 0)) + (-1 + -1*sqrt(1872) - sqrt(1872)).\nAnswer: -24*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -181, -300, -441, -610, -813, -1056?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -558*b**5 - 614*b wrt b?\nAnswer: -11160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 59 = 47 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*-5*(-4 + sqrt(475)) - 3*(5 + sqrt(475) + -1)))**2.\nAnswer: -800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373.26 - 9.04. Let n = 399 + z. Let k = -16 + n. What is k rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1036 and 2404388.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from njwjbbnbjjjnj.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211220210 (base 3) in base 16?\nAnswer: -8e26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 10*t - 2*t. Let m(d) = -t - 6*d + 2 + 5*d + 2*d. Determine m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715, 713, 705, 691, 671?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 38415498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:31 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 461 and 48454327?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 4*w**2 + 6*w + 12. Calculate j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7177*y**2 + 2*y + 13. Let z(a) = 10*a. Calculate z(v(l)).\nAnswer: -71770*l**2 + 20*l + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 - 5*p - 2. Let f be s(6). Let l be 309\/4 + (-1)\/f. What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/230 and 5\/3703.\nAnswer: 37030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p + 1. Let y be s(-1). Solve y*c - 5*c = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239281, -478531, -717781?\n\"Answer: -239250*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 510 = -2*g - 171, 2*b - 348 = g. Is 12 a factor of g\/(-14) - 12\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 17*w**2 - 2*w**2 + 7*w**2 + 2*w.\nAnswer: -17*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8482 - 8481.9999388. Round d to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448\/9 != 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11885056 divided by -32.\nAnswer: 371408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 2. Let s(m) be the second derivative of -m**7\/2520 + 6*m**4 + m - 11. Let c(h) be the third derivative of s(h). Calculate d(c(q)).\nAnswer: 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 13*y + 2. Let w be a(-13). Suppose -3*z + 2 = -2*z. Are z and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - 3cc?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 10 + r**2 - 184*r + 184*r.\nAnswer: r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-4134)*((-546)\/65)\/14\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-20)*4)\/(((-28)\/4)\/574*2).\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.1? (a) -8 (b) 0.3 (c) -3 (d) -71 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from vevvveev.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46734339?\nAnswer: 3, 15578113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 651 + 2?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3880 or -415238\/107?\nAnswer: -3880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 - 2 - ((-16 - 4) + 76)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)*1 - sqrt(76))\/(sqrt(252)\/sqrt(7)) + (3 + sqrt(1900) + 2*sqrt(1900))**2 + -4 + (-1 + sqrt(19)*1)**2.\nAnswer: 539*sqrt(19)\/3 + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1101152.\nAnswer: 3\/1101152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 0.101 (c) -2\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32787*a**2 + 127*a + 83. Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9)*h**(-1\/2))\/(h*h**(2\/5))**(-2\/89)*(h**(-5)\/h*h**5)\/(h**(-2\/9)*h**0) assuming h is positive.\nAnswer: h**(-2141\/2670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 174011093 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 17. Let t = 54 - g. What is the remainder when 45 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 1\/8 (c) 6 (d) -0.42 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2472 and 5192436.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1012)\/55 + 18)\/(66\/5)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 - 4.07. Let x = 15 + -16. Sort x, s, 1\/3 in decreasing order.\nAnswer: 1\/3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166.7 + -167. What is the closest to j in -3, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 338\/9*q**5 - 104\/9*q**4 - 8\/9*q**3 + 0*q + 0*q**2.\nAnswer: -2*q**3*(13*q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -x*o - u = -650, -4*o + u = 92 - 746. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.32 - 27.57. What is s rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 35.01214?\nAnswer: 35.01214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -3*o**3 + 0 + 0*o - 15*o**2 - 1\/8*o**4. Let l be p(-6). Solve l*k + 7 = k - j, 0 = 2*k + 3*j + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 8*h - 3. Suppose h*k + 0*k - 4*t = 7, 3 = -3*t. Solve -2*p - 1 = k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4900, -9779, -14658, -19537?\nAnswer: -24416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 - 4*y**3 + 79*y**2\/5 + 46*y.\nAnswer: -y*(y - 5)*(y + 2)*(y + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 278 = -262. Let t = 90 - q. What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*b*c**3 - 2*b + 142*c**2 + 1 wrt c?\nAnswer: -1476*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 2, x: 6, m: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 527, 806, 1085?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l + 2*l + 14*l**3 + 6*l**3 - 25*l**2 + 13*l - 5*l**4.\nAnswer: -5*l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31256562 or 31256565?\nAnswer: 31256565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 38, -5, -2, -59, 3 in decreasing order.\nAnswer: 38, 3, 2, 0, -2, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 44*d**3 + 148 - 30*d**3 - 15*d**3)*(12 - 12 - 2*d).\nAnswer: 2*d**4 - 2*d**2 - 296*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.844132 (b) -1\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.89 + -0.11. Let t = i + 5. Let o = t - 0. Is o less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 46, 73, 122, 199, 310, 461?\n\"Answer: s**3 + 2*s**2 - 2*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -9084, 4, 3.\nAnswer: -9084, -73, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 31 = 6. Let l(z) be the third derivative of -2*z**2 - 5\/6*z**3 + 0*z**4 + 0 + 0*z - 1\/15*z**d. What is the first derivative of l(c) wrt c?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105192\/34 - ((-140)\/34 - -4). Suppose -w = 2*v - 16*v. What are the prime factors of v?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 2*z - z)*(-z**3 + 0*z + 0*z) + (-z**3 + z**3 + 3*z**3)*(-z + z + 7*z) to x*z**2 + f*z**3 + h + u*z + w*z**4 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:42 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599653835?\nAnswer: 5, 11, 17, 83, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 132213797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -21*v**2\/5 + 14493*v - 9581196\/5 = 0.\nAnswer: 964\/7, 3313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -16*h + 72, 47*h - 93*h - 2*r = -42*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 2*n + 2. Let y be p(-1). Suppose -2*q + 4 = 2. Let d(t) = 6*t**2 - 1. Let x be d(q). Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14158*f + 14175. Give h(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9383424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -42. Factor -3*j + 15*j**m - 15 + 8*j**2 - 8*j**2 + 5*j**3 - 2*j**3.\nAnswer: 3*(j - 1)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -573961, -4591684, -15496943, -36733510, -71745157, -123975656, -196868779?\n\"Answer: -573962*h**3 + 4*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415555.3mg to nanograms.\nAnswer: 415555300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 29. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from ataatkdahaxtaxaaxahx?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2288910 and 38870.\nAnswer: 684384090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:04 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 3*j**4 + j**4)*(-326 + 255 + 340).\nAnswer: 538*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7311455089 + 0.09?\nAnswer: -7311455088.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/5)\/(261\/(-580))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52457 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2*k + 3\/2*k**2 + 1 + 1\/12*k**4 - 1\/2*k**3. Let o(n) be the first derivative of g(n). Calculate o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaakkka. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 18 = -39. Solve b + 3*p = p - o, 5*b + p - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190)*4 + sqrt(190) + sqrt(190)) - (sqrt(190)*-3*-5 - sqrt(190)))\/(-3*-5*-3*sqrt(1210)).\nAnswer: 4*sqrt(19)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564298 + 627480.\nAnswer: 1191778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -36.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**3 + 4*h**3 - h**3 + (h + 0*h - 2*h)*(-h + h + 2*h**2) + 21*h - 15*h - 24*h - 4*h**3 to the form z + t*h**3 + r*h**2 + u*h and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m + 6. Suppose 0 = -p + 5*p. Let n be k(p). Suppose j - 6 = n. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17151840 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**2 + 11*q**2 + 6746 - 6746 + 9113*q to g*q**2 + k + w*q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 8*s + 32)*(-2*s + 2*s - 2*s) + (3*s - 3*s - s**2)*(-6 + 2 + 0).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -130.848 times -154\nAnswer: 20150.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:52 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 divided by 46720?\nAnswer: -347\/23360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 16 - 94 = 0. What is the common denominator of ((-3)\/20)\/((-2)\/(-75)) and -4 - (1627\/(-156) - (-2)\/g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -60 (b) -2\/5 (c) 4 (d) -14\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*s + 18, 2*x + 2*s - 16 = 5*s. Let o be 140 + 0 + 0 + x. Let p = 327 - o. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcvkppcvpppkvppcp. Give prob of sequence vv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**4\/12 + 5*p**3\/2 - 4*p**2. Let a be h(-7). Let c = 15 + a. Calculate the highest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139532 plus 0.06?\nAnswer: -139531.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (19 + -34 - (5 + -15)) + 4 + 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 + 55*x + 9196\/3.\nAnswer: -(x - 209)*(x + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 1*sqrt(133)*-3)*-1*6)\/((sqrt(28) - sqrt(140)\/sqrt(5)) + sqrt(35)\/sqrt(20)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1064*c - 21269. Calculate h(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(3 - 4). Let c = 0.6 - 6.6. Sort c, -2, m in descending order.\nAnswer: m, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*g - 5391, 25*s - 22*s - 5388 = -5*g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*y + 23, 2*w + 6*y = 3*y - 13. Let k = -10 + 10. Suppose 5*u - 4 - 1 = k. What is the closest to u in 2\/11, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -285*x - 3. Let d be g(-4). Suppose -4*v - 3*h = 12, -7*v + 4*h + 16 = -6*v. Suppose 3*u - d = -v*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1e463c?\nAnswer: -1e463b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9)\/t*t)\/(t\/(t**(2\/7)*t*t*t)*t*t)*(t\/(t*t\/t**(1\/3)))**(1\/36) assuming t is positive.\nAnswer: t**(-2923\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2309*q. Let c(g) = 174*g. Give c(v(z)).\nAnswer: -174*z**2 + 401766*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 20*h**2 - 16*h - 29. Let i(g) = -3*g**3 + 20*g**2 - 18*g - 28. Let q(x) = 3*i(x) - 2*s(x). What is the hundreds digit of q(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175127830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -661 + 661.3. What is the smallest value in -1, 5, q, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n - 10. Let d be k(5). Determine m, given that -11*m - 5*m**4 - 9*m - 40*m**2 - 12*m**3 + 12*m**3 - d*m**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 - 3*v - 3. Suppose l + 4 = -l, 4*l = 3*m - 23. What is the units digit of y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(17))**2*1 - (2 + sqrt(17)*3)).\nAnswer: -16 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*y - 27*y = 333*y - 7686 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2336 + 3934. Let n = 9733\/6 - f. Find the common denominator of -89\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-8) + 783\/36?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1515235, 1515254, 1515299, 1515382, 1515515, 1515710, 1515979?\n\"Answer: 2*y**3 + y**2 + 2*y + 1515230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1145 - 314224?\nAnswer: -313035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*-150*4\/8. Suppose -120 = -5*p + 5*k, -4*k = -3*p - 2*p + 121. What is the greatest common factor of o and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164361, 328717, 493069, 657417, 821761, 986101?\n\"Answer: -2*y**2 + 164362*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 800*w\/11.\nAnswer: 2*w*(w + 400)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 - 2. Let c be w(-3). Let b be (21\/(-9))\/((-14)\/108). Let r = b - c. Solve r + 2 = 2*t + p, -3*t - 4*p + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1169 * 1\nAnswer: -0.1169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose -z = -g*z + 16. Let u be z*(6\/4 - 1). Solve -15 = a + u*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 24*d + 16. Let b be j(3). Suppose 4*f + 5*y = 426, -4*f = 2*y - 332 - b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 11*u + 39. Let j be 26\/8 + 1\/(-4). Differentiate -u + j*x**3 - 10*x**3 + 2 wrt x.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) - (-13 - -4). Suppose j = -2*s + 6*s. Suppose -i = 2*i + 2*o + s, -4 = i - o. Does i = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3 - 3*y + 3 - 1. Suppose -5*r + 1 = -j - 0, -3*j + 14 = 2*r. Let d be 1 + -1 - 2 - r. Determine x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.167.\nAnswer: -5.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 > 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10623.\nAnswer: 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14333244 (base 5) to base 3.\nAnswer: 21201221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/819 and 67\/1671.\nAnswer: 456183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + 2*q - 2. Let g(f) = -3*f**3 + 8*f**2 + 6*f - 10. Give -g(i) + 4*u(i).\nAnswer: 7*i**3 - 12*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/(-3) + -135*8\/(-288). Let o(t) be the first derivative of 1\/5*t**2 + 15 + 2\/5*t**3 + 3\/10*t**k + 2\/25*t**5 + 0*t. Factor o(d).\nAnswer: 2*d*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2520 and 5810.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -20. Let o = -5 - l. Let m(c) = -2*c**3 + 3*c**2 + 3*c - 1. Is m(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*(sqrt(75)*-1 + sqrt(75))*2 - (sqrt(75)*-1 + 1 + sqrt(75) + sqrt(75)*1*-2)))**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 - 11*a + 5. Let i be o(5). Let u be (-1 - i)\/(9\/(-18)). Suppose -3*r - d + 501 = 0, u*d - 4*d + 501 = 3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 1581 - 12694 = 0. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-10)\/3 + 3). Sort -3, 2, -5, s in descending order.\nAnswer: 2, s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 2, z: 2, k: 1, v: 2}. Give prob of sequence vkn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.18815 * 0.05\nAnswer: -0.1094075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let y(s) = -s**3 + 13*s**2 + s - 13. Let u be y(13). Let l(c) = 0 + 3*c**2 + u. Calculate l(g(n)).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 180 = 4*c, 2*c + 2*h - 116 + 32 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 + 0*x**5 - 3*x**5)*(2 - 4 + 1) + (0*x**4 + 3*x**4 - 5*x**4)*(0 + 9*x + 0) - 533*x**3 + 533*x**3 + 72*x**5.\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2)\/(-4))*(-2456)\/(-12). Suppose d - h = -302. Solve -w - d*b + 28 = w, b = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f = -153*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:57 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {p: 3, u: 4, v: 3, e: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/3 - 18618*k**2 + 55856*k\/3 = 0.\nAnswer: -27928, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 16*c**2 + 2*c - 21. Let f be d(16). Suppose -8*u = -f*u + 726. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 302 - 490 = 0. Suppose 0 = 4*o - 16, 3*v = -v - 2*o + c. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8216)\/(-234) + (-1)\/9. Suppose -2*x + 5*g + 25 = 0, 0 = -11*x + 15*x - 5*g - j. Solve 0 = -x*z + l + 30, -2*z = l + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 233*o**2 - o - 1. Let p = 5 + -3. Suppose -3*s + p*s - 1 = 0. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2003 - -5?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320000 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 42. Let v = n - -139. Let x = -32 - -23. Which is the closest to -1? (a) v (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572075 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 687, 749, 847, 993?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 + 365*t**2 - 18*t**2.\nAnswer: 332*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.356*1.\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4, b = -3*k + 4*b + 51. Solve 4*i - k + 9 = 4*u, -2*u = -i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6*k - 350. What is the units digit of (-1010)\/(-6) - k\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-3\/10)*(s\/(s\/s**(3\/2)))\/((((s*s*s\/(s**(2\/9)*s))\/s)\/s)\/s))\/((s**0)**21*((s\/(s**(-2)*s))\/s)**(-8\/9)) assuming s is positive.\nAnswer: s**(271\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)\/i)\/(i**(2\/17)*i)*(i**(3\/5)\/i)\/((i*i**0)\/i))\/((i*i**(5\/2))\/(i*i**(1\/3))*(i\/i**9)\/i**(-8)) assuming i is positive.\nAnswer: i**(-2219\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Suppose 0 = 4*j + 23 - 3. Let l be u\/3 + j\/(-15). Solve -3*n = -5*x - l*n - 23, 3*n = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936*n = -943*n + 1855. Calculate the remainder when n is divided by 129.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 0.1 (b) -10 (c) -45 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43779626 to the nearest integer?\nAnswer: 6617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6 - 15) + 5)*(-60)\/(-80). Sort -4, -5, -2, -20, a in ascending order.\nAnswer: -20, -5, -4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-11) - (-464)\/88. Suppose -3*p + 285 = -33. Suppose -5*v + p = t - 181, -10 = -g*t. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*m + 151, -5*j - 4*m + 2*m = 193. Let u = -35005\/3468 + 3\/289. Calculate the common denominator of j\/(-16) - (-8)\/(-16) and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4442 + b**3 - 2*b + 10*b + 4441 as w*b**3 + m*b + c + o*b**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405))**2 - sqrt(320)*-2.\nAnswer: 16*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i*k**2*q**2 + 5*i*k**2*q + 7*k**2*q**2 - k**2*q wrt q.\nAnswer: 8*i*k**2 + 14*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(22)\/(sqrt(22)\/sqrt(2)*-2) + (6*sqrt(32) + sqrt(2) - -5*sqrt(6)\/sqrt(3))).\nAnswer: 295*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4.1, -3\/5, 848?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 48*y + 101 + 94*y - 46*y - 16*y**2.\nAnswer: -16*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15 = 0, -5*k - 4*d = -k + 84. Is (0 - 3542\/(-12)) + 3\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:04 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 90*a - 200.\nAnswer: 5*(a - 2)*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1813559 and 8577?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030839275 rounded to 4 dps?\nAnswer: -0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + s - 22 = 0, -24*h + 21*h = 3*s + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26850932?\nAnswer: 2, 193, 34781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*n**3 + 661*n**2 - 1667?\nAnswer: -51*n**2 + 1322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 551560 (base 8) to base 10\nAnswer: 185200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 8*p + 4. Determine q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -9 - (13 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 2.703\nAnswer: 1.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2)\/((r\/r**6*r)\/r)*(r**(1\/2)\/r)**(2\/27) assuming r is positive.\nAnswer: r**(215\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 5*n + 3*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/40)\/(4\/(-40)). Suppose 2 = 2*l, 2*g - m*g + 28 = 4*l. Is 24 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(24\/(-5))*1\/(-5). Which is the closest to 0.1? (a) 0 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 0*x + 0*x)*(4*x - 6*x - 5*x) - 24*x**3 - 7*x**3 + 3*x**3 as w*x + p*x**2 + u*x**3 + l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 4. Let l(g) = 19*g - 193. Let k(w) = 2*i(w) + l(w). Let c be k(8). Let m(u) = -4*u**2 - 2*u - 2. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l = -j - 93*l + 26, 46 = 3*j - 2*l. Calculate the lowest common multiple of (3\/3)\/((-1)\/(-30)) and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = -5*x + 4*u, 4*x = 5*u + 2. Sort x, -4, -1.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -4.8, -80 in increasing order.\nAnswer: -80, -4.8, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1136)\/3*147\/(-98). Let g = q + -507. What is the lowest common multiple of g and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.6801m to nanometers.\nAnswer: 717680100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36275?\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/30)\/((-2)\/60). Let a = 75 - y. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11506\/7 - -506607\/308. What is the common denominator of k and 15\/2272?\nAnswer: 24992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2232, -2243, -2266, -2307, -2372, -2467, -2598?\nAnswer: -2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + (2*sqrt(300) - sqrt(3)))*-5.\nAnswer: -105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i - 16. Is -6 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - j**3 - 2*j**3 + (-j + 0 + 0)*(-2*j - 2*j**2 + 2*j) + 2*j**3 - 2 + 2 + 3.\nAnswer: 3*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1981*k - 1984*k + 2 = -4*c, 3*k + 8 = -c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -9 - (-2 - 3)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*h - 689*h + 367*h = 589 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321078457 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 10320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130139910 and 1272.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let x be d(-8). What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 2 = 0. Let d be 49\/(-14)*(-4)\/x. Solve d*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 263500 and 7378.\nAnswer: 1844500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miz when three letters picked without replacement from mizsx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b - 5*b)*(52 + 21*b + 43 - 93).\nAnswer: -168*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*p = 3 - 9, 0 = -5*p - 15. Let i(w) = w + 554. Does 17 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591 (base 12) in base 10?\nAnswer: -2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9045 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -2 - 41) + 96\/176 + 98\/22\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -2. Suppose -70 = -3*g - 0*q - q, 2*q = k. Suppose 0 = -0*t - t + 64. What is the remainder when t is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 493\/10890 - 1\/1210. Let v be 6\/8*8 - 7. Are m and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/14*(69\/20 + (-10)\/50).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 + -2)*(4\/7)\/(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/5, -2\/7, -0.3, -2\/17, -2\/6543, -3?\nAnswer: -2\/6543","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1589 and 71?\nAnswer: 112819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -69456?\nAnswer: -6251.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 59. Suppose 851 = 8*v + g*v. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -152. Let d = 274 + -232. What is the highest common factor of d and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2*o - 4. Let h be d(-4). Suppose 0*y - 5*v = 3*y - 44, -v + 1 = 0. What is the remainder when y is divided by h*-3*(-14)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3857*w + 3857*w + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2))**2*-4 + (sqrt(11) - sqrt(275)) + -5.\nAnswer: -49 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:34 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*9\/(-2). Let u be 104\/(-20) - 1\/(-5). Let t = u + 7. Solve t*n + 4*d = 8, q*d - 3 = -3*n + 6*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(5\/(25\/10)). Let t = z - -40. What is the remainder when t is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -20*v**3 + 158*v**2 - 100*v - 189. Calculate r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.4 * 1.3.\nAnswer: -23.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8988607*h**2 + 2212 - h**3 + 8988607*h**2.\nAnswer: -h**3 + 2212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38078 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -74 (b) -0.4 (c) 293 (d) -2\/11 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4179 - 4038 + 9656)*(1 - 2*l - 1)*(3*l**3 + l**3 - 3*l**3) to r*l + y*l**4 + m + g*l**2 + x*l**3 and give y.\nAnswer: -2878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 + 810 = 32*w. What is the highest common factor of w and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, b: 2, i: 2, u: 1}. What is prob of sequence bwub?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2684124 and 222484056.\nAnswer: 2002356504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-6144)\/(-224))\/24)*16.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*o - 5083 + 5171 = 0, 4*o + 12 = -l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 3, h: 3, f: 1, v: 3}. What is prob of sequence fh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1002 + 1001.87. Is r less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4341 - -18129. List the prime factors of j.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 5, -678014 in increasing order.\nAnswer: -678014, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 3*p)*(26*p + 114 - 114)*((4 + 47 + 54)*(-3 - 1 + 6) + (1 + 1 - 1)*(0 - 1 - 2)).\nAnswer: -10764*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from dgdggedddnddereed.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 690. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuujuuuuujuju. Give prob of picking 3 j and 1 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 26 + 3*w + 11*w - 26. Let c(b) = 10*b + 25. Let i(p) = -5*p - 15. Let y(a) = -3*c(a) - 5*i(a). Calculate y(g(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 0*d**3 - 2*d**3 + 4*d**3 - 3*d + 0*d**3. List the prime factors of c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 + 710*j - 7600 = 0. Calculate j.\nAnswer: -152, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -37, -1\/5, 0.1, -2\/7, 0.5, 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose 5*s = 0, -3*c - c = -a*s - 24. What is the remainder when 22 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4 + 0*v**2 + 67*v**3 - 62*v**3 - 6*v + 11*v + 10 - 3*v**2. Let k(p) = 6*p**3 - 4*p**2 + 6*p + 7. Let i be 3\/(6\/4)*2. Determine i*a(o) - 3*k(o).\nAnswer: 2*o**3 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.83, -0.38, 1?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 30 + 16 - -32?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83\/3 - 27. Let j = -7\/9 + 13\/9. Let 0*r + l*r**3 + 0 - j*r**2 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.8283 hours in weeks?\nAnswer: 4.7727875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-434.28171\nAnswer: -868.56342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 15*t + 6. Let d be p(15). Suppose d = -39*m + 42*m. Find the third derivative of 16*z**2 + 0*z**5 + z**5 + 8*z**5 - 5*z**m wrt z.\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37589\/5 - -7538. Let u(j) = 17*j + 2. Let l be u(1). Which is greater: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d + 513. What is the remainder when ((-478)\/(-3))\/((-14)\/(-21)) is divided by z(-43)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/17 + ((-7 - -4)*3 - -13). Let k = -60 - -57. What is the nearest to 1\/4 in k, 0.1, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2804 + -2872.95. Let u = 69 + t. Which is the smallest value? (a) -5 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 526 - 952. Let w be 12\/54 - n\/27. Suppose 35 + w*g**2 + 14*g**2 - 10 + 55*g = 0. What is g?\nAnswer: -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-10))\/(3\/15). Suppose a*s - 45 = -0*s. Solve -s = -5*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 432\/36 - (4 - (-16)\/(-6)). What is h in 28\/3*h**3 + 80\/3*h + 4\/3*h**4 + b + 24*h**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -4*r - 11, -3*r - 15 = -4*z. Let p be -6054*(-4)\/24*(94 + z). Round p to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -830*(4\/14)\/((-4)\/7).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230627276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.374 - 0.774. Let y = l + 0.52. Round y to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 310\/(-18) - (-14)\/63. Let g = 20 + u. Suppose -g*d + 79 = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**3 + 25*j**2 + 255 wrt j.\nAnswer: -30*j**2 + 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437 - 125*d**3 + 120*d**3 - 1288.\nAnswer: -5*d**3 - 1725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 1. Let a(t) = -3*t + 3. Calculate 6*a(o) - 10*k(o).\nAnswer: 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 512668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 336922? (a) -1\/15 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*((s\/s**(2\/5))\/s)\/s)**39)**14 assuming s is positive.\nAnswer: s**(-20202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:06 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 2. Suppose 0 = j - 4*s, 4*j + 0*s = 2*s. Suppose j = 11*w - 42 + 9. Suppose 18 - 6 = 4*x + 5*p, 5*x - w*p + 22 = 0. Calculate c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-5))\/(2*(-17)\/3060*-18). Suppose -4*f + 7*f = 0. Solve i*g + 7*a - 2*a + 14 = f, 3*g = -3*a - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4))\/(3\/(-1959)). Let g = -1602 + f. What is the common denominator of 20 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**4 + f**4 - 5*f**4 + (-27*f**3 + f**3 + 12*f**3)*(0*f - 2*f + f)*(0 + 12 - 5).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -553.68 and -180021503.\nAnswer: -180022056.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 877 = -0*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -472\/261 - -46\/29. Let v be 3\/5*(-15)\/(-6). Put v, -3, s in descending order.\nAnswer: v, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(-1*sqrt(4) - sqrt(4)))\/(sqrt(144) - (sqrt(144)*-2 + sqrt(144))) + ((-4 + sqrt(72)*-2)**2 - (-1 + sqrt(72) + (-1*sqrt(72))**2)).\nAnswer: 2159*sqrt(2)\/24 + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 43. Let j be 6*d - (5 + (-5 - 1)). Differentiate -24*i**4 - 10 - 10 + j wrt i.\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -430337 >= -430520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2256\/(-282)*(-2)\/(-18).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528148 greater than or equal to 5528146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.98 + -10.83. Let d = -0.19 + w. Let n = d + 12.8. Which is the nearest to 2? (a) 0.5 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 25)*((-54)\/15)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944723487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1272746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 5e663d8?\nAnswer: 5e663d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 283, 307, 331?\n\"Answer: 24*a + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 + 15*d**2 + 10*d = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*q - 3918 = 15562 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 234283656.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/88*8\/(-600).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31068000 rounded to the nearest one hundred thousand?\nAnswer: 31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4686727, -4686728, -4686729?\nAnswer: -4686730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 342541*x**3 - 23568?\nAnswer: 1027623*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - 12\/3. What is the third smallest value in n, 1, -1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -66. Suppose 0 = 3*g, -3*u - 352*g + 81 = -350*g. Calculate the lowest common multiple of u and l.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11526309?\nAnswer: 3, 941, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/29, -1\/5, 0.2, 0.4, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 94.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 175\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/2)\/((-20)\/4)*485\/(-1164)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3810412, -3810406, -3810388, -3810352, -3810292?\n\"Answer: u**3 - u - 3810412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20212220 (base 4) to base 13\nAnswer: 1306a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1246a96a4 - -5?\nAnswer: 1246a96a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001755 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2238 and 5484.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.4. Let n = 72.1 - 72. What is the nearest to -1\/3 in 5, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-16)*(72\/(-504))\/(3\/(-7))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 12. Let r(u) = -2*u + 9. Let b be r(0). What is the remainder when c(b) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 46, 93, 182, 319?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:38 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j*j\/j**13*j*j*j*j)**(16\/7) assuming j is positive.\nAnswer: j**(-1424\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*1*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16686 greater than 16686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 7*l = -10575. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18090 or -18086?\nAnswer: -18086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -12. Let r be -2*4\/((-16)\/6). Suppose a*f - 29 = -4*t, -4*t = r*f + f - 40. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 583606 = 54*o - 1651531. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(12*103\/(-2884)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1457*o**2. Let v(h) = -h**2 + 2. Let u(m) = 3*m**2 - 5. Let c(s) = -2*u(s) - 5*v(s). Determine r(c(w)).\nAnswer: 1457*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4 + 347812*k**3 - 30*k**2 - 251*k + 251?\nAnswer: 72*k + 2086872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7984 - 5272. Suppose -3*n - 47611 = -5*g, 2*n + 6813 + t = g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 8*q**5\/15 - q**4\/12 - q**3\/6 + q**2. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300 (base 5) to base 8.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 8*t**2 - 6*t - 2. Let r be v(7). Solve m + 4*b - 18 = 0, -r*b + 20 = 4*m - 2*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 21 - 3857*q**2 + 7168*q**2 - 12 as m + v*q + c*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -3*b**5\/5 - 33*b**2\/2 - 2*b + 7. Differentiate d(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 12 = -36. Suppose -v*t = -3*t + 2420. Round t to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021526 to 4 dps.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -7. Let s be a\/(-5) - 658*8111. Let v = -2537041 - s. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1943*n**4 - 659.\nAnswer: -7772*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 40 = 4*a, -4*a - o + 32 = -0*o. Suppose 3 + a = x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, 6, -16, 0 in increasing order.\nAnswer: -16, 0, 4, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -54.17 and 2228706.\nAnswer: 2228651.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*n = 12, -5*q - 4*n + 47 = 35. Which is smaller: q or -3\/406?\nAnswer: -3\/406","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1371 + -916. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.216601502495 and -0.404.\nAnswer: -0.187398497505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3313? (a) 2\/11 (b) -14 (c) 4 (d) -364 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*m + 17, 5*m - 23 = 5*i - 3*i. Suppose f = -m*f. Suppose -u + 48 = 5*c, f = -3*u - 3*c + 132 - 36. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -1 (c) -22 (d) 2 (e) 0.12 (f) 11 (g) -343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 7*j**2 - 1712017*j - 244574 = 0.\nAnswer: -1\/7, 244574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -15.4 (b) -2\/11 (c) -382\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {f: 1, e: 2, s: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12010030132 + 331?\nAnswer: -12010023201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -3*g**3 - 215. Let n(p) = 33*p. Determine t(n(b)).\nAnswer: -9801*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppr when three letters picked without replacement from jwabjrpppbjbwaw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 23.153.\nAnswer: -115.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 2*g + 2*g)*(0 + 1 + 0)*(-13*g + 9 + 11*g + 46)*(1 - 3*g**2 - 1) as n*g + y*g**2 + r + z*g**4 + s*g**3 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Determine r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 45.0000205. What is c rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0863 and -51.4.\nAnswer: -51.4863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -u + 2*u + 19, 4*p + 52 = 2*u. Let z be (-6)\/p - ((-8)\/(-10))\/2. Solve z = 2*i - 10, -6 = -5*y - 4*i + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 3?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(15\/10)\/((-2)\/100). Let z = t - 71. Let l be 1*(-1 + -1) - -3. Which is the nearest to l? (a) 3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 37*q**2 - 162*q + 68. Let y be j(32). Let v(n) be the third derivative of 1\/18*n**y + 10*n**2 + 0*n + 0 + 0*n**3 - 1\/180*n**5. Factor v(h).\nAnswer: -h*(h - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157740207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3385133, 6770269, 10155405, 13540541, 16925677, 20310813?\n\"Answer: 3385136*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b - 9. Let v be i(16). Let m = v - 46. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821088206.\nAnswer: 2, 19259, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -154, -161, -150, -115, -50, 51?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + 220\/35. Suppose 12 = 3*f, 5*h + 2*f = 4*f + 22. What is the highest common divisor of h and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**3 - 3*s**2 + 29*s - 13. Let c(v) = -7*v**3 + 2*v**2 - 15*v + 7. Let o = 4 - 10. Let k(m) = o*n(m) - 11*c(m). Is k(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o + 80*o + 2*o.\nAnswer: 155*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264635 <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-3) - -5 - (3264\/328 - 12)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 1022.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125669.37 + 125669.48000082. Let k = v + -0.11. Round k to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/39, -0.035, -4, -2024, 0.3, -3\/4, -0.5?\nAnswer: -2024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q = -136*q + 35 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 46*a**2. Let q(v) = -14*v**2. Determine q(x(b)).\nAnswer: -29624*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -221, -1555, -5173, -12215, -23821, -41131, -65285, -97423?\n\"Answer: -190*z**3 - 2*z**2 + 2*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, v: 15}. What is prob of sequence vvvv?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + r**2 + r. Let t = 3 - 4. Let b be f(t). Suppose 23*c - 21*c - 5 = -x, -5*c + 20 = 5*x. Put x, b, 5 in decreasing order.\nAnswer: 5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*((-150)\/9)\/(-5). Solve 2*t - 3*t - f = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3182418 is divided by 3182273.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5565756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530445753.\nAnswer: 947, 1616099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x. Let s be u(2). Suppose -s*i = -3*i - 50. Solve -35 + i = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19*1 - (168 + -177) and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 312\/30)*2\/((-16)\/(-40))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1789 + -1786. Let u(g) be the first derivative of -3\/4*g**4 + 0*g**2 + 3\/5*g**5 + 0*g - 12 - g**i + 1\/2*g**6. What is c in u(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2269\/1365 + 2\/455. Let i = -7 - -6.6. Which is the closest to -2? (a) i (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4 + 2 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from {v: 1, z: 5, t: 2, w: 3, c: 8}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.848 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27115 (b) -1\/6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9*d**2 - 4*d**2 - d + d**3. Let g(j) = -2*j - 15. Let x be g(-5). List the prime factors of p(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/122*3589\/7178?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 - 2*z**3 + 13764537*z**2 + 18017888*z.\nAnswer: 12*z**2 - 12*z + 27529074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-48)*(-24)\/27. Let q(g) be the second derivative of 0*g**4 + 1\/9*g**2 - 1\/135*g**6 + 0 - g + b*g**3 - 1\/45*g**5. Solve q(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n + 1533. What is d(-96)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*3)**2 + -4 + -2*(sqrt(5) + 2) - ((-2*sqrt(100))\/sqrt(5) + -5).\nAnswer: 2*sqrt(5) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let c(v) = -4*v - 5*v + 8*v + 0*v. Determine c(r(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.17814 centuries to years.\nAnswer: 417.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -536?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/2 - z**3\/3 + 3*z**2 - 5*z. Let n(p) = -p**2 + 1. Determine 5*n(a) - v(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103744 by -2.\nAnswer: -51872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l - 6*l. Suppose 40 = z + 3*z. Let t = z + -5. Calculate the highest common factor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 38, 40, 44, 50, 58?\n\"Answer: q**2 - 3*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8 - 4))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6\/7)\/z*z*z)\/(z**(17\/2)\/z))**(-42))**(-8) assuming z is positive.\nAnswer: z**(-2472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 842.8798cm?\nAnswer: 8428.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 + j**4\/12 - 12*j. Let i(f) = 6*f**3 - 3*f**2. Calculate -i(h) - 3*w(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213 (base 5) in base 11?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 6*f**2 - 3*f + 19. List the prime factors of q(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k + 875000. What is k rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 8. Let h(a) = a + 1. Let m(p) = f(p) + h(p). What is the remainder when 35 is divided by m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-42))\/((9\/(-42))\/(315\/30))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-7))\/z*(z**7*z*z)\/z*z*(z\/z**(-1\/8))**(1\/5) assuming z is positive.\nAnswer: z**(129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286\/15 - 53\/15. Which is greater: -22 or y?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 19506429.\nAnswer: 643712157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 - (-11 - -13). Suppose 0 = -a + g - 147, 5*a + w*g + 747 = 47. Let r = -79 - a. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3189 + -1828. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*c + 1932 = 134*c. Let o = -96 + c. Solve o = 14*y + 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -3624, -8180, -14556, -22752?\nAnswer: -32768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 - 697*j - 31. Calculate v(27).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 - 11*b + 10. Let h = -13 - -20. Is t(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35233.3 rounded to the nearest 100?\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 0, -5*o + z = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-22.23.\nAnswer: -4.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(192\/18)*12\/21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/2)\/((-3435)\/18 + (-1)\/6). What is the smallest value in -1, 0.4, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0*w**3 + 0 + w + 0*w**2 - 5\/12*w**4. Let z(k) = -9*k**2. Let m(v) = -11*b(v) + 6*z(v). Let l(p) = -3*p. Calculate l(m(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 27.9. Let d = k - 0.1. What is the second biggest value in 0, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4\/7, -1051, 0.063?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343896692 by -85974173.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244806 and 81602?\nAnswer: 244806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183\/2 + 92. Let y(t) be the first derivative of -3 + 0*t**2 + b*t**6 + 0*t**4 + 0*t**5 + 0*t - t**3. What is the third derivative of y(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/4 - 7*l**3\/3 - l**2 - 7*l + 1226. Suppose 24 = 4*u - 4. Calculate d(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 4*c**3 - c**4 + 14*c - 10*c as u*c**3 + i*c + b*c**4 + v + t*c**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102021201000 (base 3) to base 13.\nAnswer: 4b7a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12650 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 9. Let c(w) = 20*w**2 - 257*w - 8*w**2 + 132*w + 125*w + 14. Let s(v) = -13*v**2 - 13. Let x(i) = p*c(i) - 6*s(i). Differentiate x(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/36 - (-64)\/126. Let f = 10 - 13.5. Let t = -4 - f. Which is the closest to -0.2? (a) 5 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -387340, -387590, -388004, -388582?\n\"Answer: -82*c**2 - 4*c - 387254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -4 (b) -22 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1021037 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let v(h) = -12788*h. Calculate t(v(n)).\nAnswer: -163532944*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6030*x - 12061*x + 6032*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*t = 44247 - 42609 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 6?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*z = 319*z - 16. Let g(m) = -26*m - 18. Let t be g(-10). What is the remainder when (-15)\/(-20) - (t\/(-8) - 2) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0*l**(-12)*l)**2)**3 assuming l is positive.\nAnswer: l**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.877 + 119. Let b = l - 0.22. What is b rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 4172 = 97*m - 4352 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18759375 and 58\/16875.\nAnswer: 56278125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - 22\/(-12). Determine y so that -8\/7 + 4*y - 20\/7*y**l = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*f - 2 = 29, 3*x = -f + 9. Suppose -91 - 77 = 3*w. Let v be (-4)\/14 - 40\/w. Which is the second smallest value? (a) x (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53575475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 21*d - 41. Let t be g(23). Sort -1\/12, t, -3.\nAnswer: -3, -1\/12, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10*8 + 9\/(-15). Solve 0 = 2*o + 7 + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10777081.\nAnswer: 7, 1539583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174834, 349668, 524502, 699336?\n\"Answer: 174834*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -165537 (base 9) to base 8\nAnswer: -310143","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 305*a - 55. What is the tens digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 2*h, -2*h - 4*a = h - 20. Let m(k) = k + 3. Let f be m(h). Suppose -50 = -5*b - f*c, 4*b - 11 - 29 = 4*c. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 141. Let c be g(19). Let a be ((-162)\/(-216))\/((-2)\/c). Let r(l) = l**3 - 5*l**2 + 3*l + 2. Determine r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 9366?\nAnswer: 9366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*l**3 + 176*l**3 - 191*l**3 + 220*l**3.\nAnswer: 410*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0636591244 rounded to 4 decimal places?\nAnswer: 0.0637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2818 + 3208. Calculate the highest common factor of w and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4116527091 + -394.\nAnswer: -4116527485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47621 = 6*i - 7*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 15*r - 12. Suppose -k - 51 = -5*t, -2*t - 3*t + 43 = -3*k. Let a be w(t). What is the greatest common divisor of a and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s - 4*s**3 + 21*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 39234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 724, 776, 880, 1054, 1316?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1856682288 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*l = 34, -29*i - 65 = -34*i - 5*l. Calculate the highest common divisor of 288 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1356318 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2 + j. Let v(s) be the third derivative of -s**4\/12 + 12*s**2. What is t(v(u))?\nAnswer: 24*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 858837.2 hours in seconds?\nAnswer: 3091813920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1040948*x**4 + 134702*x - 6 wrt x?\nAnswer: -12491376*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**4 - s**3 + 76. Let m(u) = u**4 - 2*u**3 + 1. Let a(v) = b(v) + 6*m(v). What is the first derivative of a(i) wrt i?\nAnswer: 12*i**3 - 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157*r**2 + 132 wrt r?\nAnswer: 314*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most 0.01425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -71*b + 5. Let t be q(-1). Suppose 5*z - 2*z = 519. Let n = z - t. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -5*u - 2*z, 5*u + 0*u + 5*z - 175 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427630786?\nAnswer: 2, 11, 43, 452041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332 by -10.\nAnswer: -166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*0.048.\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 at most as big as -61850\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115950, -231987, -348008, -464007, -579978?\n\"Answer: r**3 + 2*r**2 - 116050*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - 2*j + 3*j + 4*j**2)*(3 - 5 + 0) - 12*j + 12*j - 9*j**2 in the form v*j**2 + z*j + q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662711204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 7*d**2 - 4*d + 10. Let i be q(4). Suppose i = 8*a - 438. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30787455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-6))\/7*27\/((-5994)\/407)\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.74296 centimeters in nanometers?\nAnswer: 917429600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2178*a**3*h**3 + 603*a**3*h**2 - 1885*a**2*h**4 - 13*a**2*h**2 + a**2*h - 4*a**2 - 3*a wrt h.\nAnswer: 13068*a**3 - 45240*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -60*m - 4. Let j be l(-3). Suppose 27 + j = d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113966741 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let f = u - -0.98. Let m = -0.03927 - 0.16073. Put 0.2, f, m, 0 in increasing order.\nAnswer: m, f, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17997.88um to nanometers.\nAnswer: 17997880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1109092287 + -0.11091. Round s to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5738.\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.3621 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -27927.69.\nAnswer: 53062.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/42)\/(40\/112)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -76, -94, -112, -130, -148?\n\"Answer: -18*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 267*b**3 - 19*b - 19*b + b**2 + 38*b + 34*b**3 to the form c + a*b**2 + v*b**3 + p*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 5*m**4\/4 - 1. Let i(f) = -6*f**3. Let p(v) = -v**2 - v + 3. Let o be p(-3). Give o*k(s) - 2*i(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400161 + 400166. What is v in 0 - 2\/5*v**z - 2\/5*v**4 + 2\/5*v**2 + 2\/5*v**3 + 0*v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n. Suppose 4*r + l + 14 - 60 = n, l = -r + 10. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700691\/108 - 6488. Calculate the common denominator of -59\/48 and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + h**2 + h**2)*((-3 + 4 + 4)*(-2*h + 5 - 5) + h - 6*h + 4*h)*(-28 + 0 + 7).\nAnswer: 1386*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/63 and -27\/805?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -12. Suppose 0 = 4*c + 5 - p. Let k = c + 5. Solve -4*a - 1 = k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (-168)\/64.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 92 - 47 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/9, -3, 2936, -0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, 0.4, -0.35, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*n - 2, -5*n - 3 = 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83845916 or -83845911?\nAnswer: -83845916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - 11*h**3\/2 - 133*h**2 + 6*h - 123. Give k(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 139?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*i - 12, -4*z - i = -6*i - 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 14*u**2 + 9*u + 58. Let v be l(-15). Calculate the highest common divisor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = z - 5*a - 3, 2*z + 2*a = 14. Suppose 3*k + z = 13. Is k bigger than 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(38\/8)\/19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.08, 0.04, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1293*m**6 - 38*m**2 - 19 wrt m.\nAnswer: -155160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/2 - 10*s**3 - 25*s**2\/2 - 5*s.\nAnswer: -5*s*(s + 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19028797 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -21) + -24 + 13 - 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/35 - -2\/7. What is the closest to b in 4\/7, 4, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 186 = -214 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 150304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from aaffffrfrrrrrr?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 3*z**2 - z - 12. Let g(l) = 2*l**3 + 2*l**2 + l + 11. Let b(p) = -4*g(p) - 3*h(p). What is b(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3714*u + 11 - 1854*u - 1850*u to the form l*u + t and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 25*h**2 - 2*h - 2. Give b(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204832.\nAnswer: 2, 3, 7, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -311, -25, 293, 643, 1025, 1439?\n\"Answer: 16*j**2 + 238*j - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*t = 45*t + 173*t - 11750 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -224094, -896386, -2016872, -3585552, -5602426, -8067494, -10980756?\n\"Answer: -224097*x**2 - x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 140, -4\/5, -0.07, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11452 and 107\/12.\nAnswer: 34356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f + 10. Let w be u(2). Let r(o) be the third derivative of 1\/15*o**5 - 2\/3*o**3 + 1\/120*o**6 + o**2 + 1\/24*o**4 + w*o + 0. Calculate r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*g + 73, -313 = -5*n + 4*g - 2*g. Let k = n + -36. Let o be (k - -10)*1\/1. Solve -2*d - 3*p + o = 2*d, -4*d + 10 = -2*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttdt. Give prob of picking 2 t and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 57180 - 31805 = 0. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 272. What are the prime factors of l?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002209858 to 5 decimal places.\nAnswer: 0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = 5*j - 17, 2 = j + 3*d. Suppose 2*q = 2*b - 16, -j*b + 4*q + 44 = q. Solve 0 = -2*c - 0*c - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.88 + -0.12. Let p = 1.2 - 1.2. Which is the nearest to p? (a) 3 (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(3 + -37)*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2623*a + 7735*a - 442*a + 9371*a + 2017*a.\nAnswer: 21304*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 263676 + -0.5\nAnswer: 263675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from sunnunnu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**14*f\/f**10)**(1\/11)*(((f\/((f\/(f**(-14)*f*f))\/f*f))\/f)\/(f\/f**(1\/15)))**(35\/3) assuming f is positive.\nAnswer: f**(-1481\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 - (-104)\/8) + 2. Sort f, -0.1, 0.2, 0.3 in descending order.\nAnswer: 0.3, 0.2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((-245)\/630)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/20 - 7\/(-4). Find the third derivative of -8*z**4 + 8*z**4 + t*z**2 - 3*z**5 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926665 is divided by 323?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g**3 - 145*g**3 - 353398*g + 353398*g.\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -1100101010?\nAnswer: -1100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 1755*m - 8738. Calculate u(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -308, -6, 0 in ascending order.\nAnswer: -308, -6, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273134835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -0.61. Let w = i - -0.1. Let u = w + 4.5. Which is the closest to -1\/3? (a) u (b) -0.1 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 - 1. Let r = -1 + 0. Let a(q) be the second derivative of -3*q**5\/20 + q**3\/6 - q**2\/2 - 7*q. Give r*b(n) + a(n).\nAnswer: -2*n**3 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -82*-0.1\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172886 - -97315. Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300591393?\nAnswer: 3, 23, 4356397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(133\/2242) + 8.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42333872901251 + -0.3\nAnswer: -42333872901251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-158)\/(-18) + (-4)\/(-18). Let z be ((-4)\/(-2) - 12)\/(-2). Find the second derivative of -12 - 2*b + z*b**3 - 2*b**3 + x wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**2 - 25498*s + 76487. What is m(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33 + 3)*(-8)\/6. Suppose l*g + 450 = 42*g. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63105 is divided by 4507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -24*f**2. Let o(c) be the second derivative of -11*c**4\/6 - 83*c + 1. What is o(w(s))?\nAnswer: -12672*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 221. Let f = -50 - x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 53 = -391. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 28*w = 0, -3*x - 2*w - 10 = -1. Sort -1, -114, 2\/3, x.\nAnswer: -114, x, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 0, 3*h + h + 20 = 4*b. Let q(s) = s - 13. Let j be q(17). Factor 16\/7*m**3 + 0*m**2 + h*m + 0 + 4\/7*m**5 - 16\/7*m**j.\nAnswer: 4*m**3*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 340*z**2 + z + 108. Give a(170).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**3\/6 - 16*a**2 - 1392*a. Let y(l) = 5*l. Determine y(r(p)).\nAnswer: -5*p - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2) - -4 - -1. Suppose -2 = -2*a + 8. Suppose 2*r - 10 = 7*i - 3*i, a*r = 5*i + 35. Calculate the greatest common divisor of r and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 275*m - 9. Let p be u(6). Suppose 3*n - p = -0*n. Let s be n\/3 + 16\/24. What is s rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048620383 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*r - 0*r + 3 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(-5)*1. Suppose -4*w - 5*u + 1058 = r, -5*u - 3 - 7 = 0. Suppose -2*f - 268 = -2*x, f + w = 5*x - 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y - 5. Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*f - 4*l, 0 = 4*f - 3*l - 37 + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06149, -2813, 0?\nAnswer: -0.06149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -405378 times -1716\nAnswer: 695628648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:50 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r**2 + 122*r - 8 = 0. What is r?\nAnswer: -4, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 15*q + 56. Let n be k(5). Let s = 1 + -2. Let i be (0 + s)\/((-5)\/20). Solve -n = -i*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21, 5, -0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -9*o. Sort o, -4, -5 in ascending order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 194 = 3*a, -106 = 4*a - 2*a - 2*k. Let l = a + 69. Let y = 12 + -1. What is the lowest common multiple of y and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*l, 15 = 4*v + 5*l. Suppose -2 = 3*j - 8. Solve 0 = -0*x - 3*x - f + 14, v = 4*x - j*f - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:17 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50835170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2 + 2 = 3*k, -4*p - 5*k = -12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -37*k**2 - 2*k - 9. Let y(d) = 16*d**2 + d + 4. Let r(l) = 3*q(l) + 7*y(l). Let s(w) = 5*w**3 - 6*w**2 - 10*w - 6. Calculate 6*r(x) + s(x).\nAnswer: 5*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 813 = 15*a - 4*m, -3*m - 477 = -3*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1070 = 3*f, 2*l + 1 = -3*f + 438. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z + 0 + 2 - 2 - z**2 - 5. Let v = 8 - 2. What is the units digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o + 2*o. Let h be (16\/(-60))\/((-8)\/60). Calculate the smallest common multiple of (1 + o\/h + 0)*24 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let u(f) = -f**2 - 7*f + 15. Let l(o) = u(o) + 4*w(o). What is the units digit of l(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221963?\nAnswer: 7, 37, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 4*t + 6*t)*(0*t - 4*t + 3*t)*(t - 5*t + 2*t + (2*t + 0*t - 3*t)*(37 - 1 + 5))*(1 - 2 + 3) to c + z*t**3 + u*t**2 + l*t and give z.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 593875 and 0.1?\nAnswer: 59387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - 2) + 2 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4223, -4256, -4287, -4316, -4343, -4368?\n\"Answer: u**2 - 36*u - 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 480707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4732 = 3*r + r, -5*r + 5915 = 3*i. Suppose r = 5*f - 327. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + h. Let u(g) = 2*g**3 - 4*g**2 + 2*g + 4. Let b(m) = -3*f(m) + u(m). Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 0, -4*f + 42 = -4*t - 70. Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1087, -4376, -9847, -17488, -27287?\n\"Answer: 2*d**3 - 1103*d**2 + 6*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11949918 is divided by 8047?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 47440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r + 39 + 29 - 19 - 5*r. Give z(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -34. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u**4))\/u)\/u*u)**(-41)\/(u\/(u\/((u**(2\/41)\/u*u)\/u)))**(-48) assuming u is positive.\nAnswer: u**(4852\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974705025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.283751 and -144.6.\nAnswer: 41.0303946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37394, -37, 2.\nAnswer: -37, 2, 5, 37394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0, 10, -0.03, -0.06 in descending order.\nAnswer: 10, 1\/6, 0, -0.03, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1423\/5 (c) 6\/905 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 28*g + 27*g + 0*g**2 - 18*g**4 + 2*g**2 to r*g**3 + a*g**4 + u*g**2 + v + m*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)\/i**(-2\/11)*((i*i*i*i**1)\/i)**(-23))\/((i**(1\/2))**34\/((i**(-1\/6)\/i)\/(i**6\/i))) assuming i is positive.\nAnswer: i**(-10133\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:25 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 2:53 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43452 is divided by 20639.\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -7*(360\/14)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 15\/18*6)\/(-5) - -2. Solve -3*s + 4 = -4*y - 0*s, v*s + 16 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/323 + -706\/323. Let t = -17207 - -447469\/26. Find the common denominator of x and t.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17*x + 40. Let f(s) = s**2 + 16*s - 11. Let l be f(-17). Is q(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19445 - 224884 - 17277 + 2*j**2.\nAnswer: 2*j**2 - 222716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 17425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -a + 11, a + 0*a - 2*y = 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = t - 4*t + 58, 68760 = -4*x + 4*t + 68744 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.05, 1.8, -145, 5, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -797061 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-42))\/((-2)\/(-3)). Suppose 93*t = 89*t - 16. Put 6\/17, d, -2\/5, t in ascending order.\nAnswer: t, -2\/5, d, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 29302 - 802 = 0. What are the prime factors of t?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 1, v: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimpl. Give prob of sequence pmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 916259 divided by 1?\nAnswer: 916259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 130*b**2\/9 + 44354*b\/9 + 1786622\/9.\nAnswer: -2*(b - 199)*(b + 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-480)\/9)\/5*(-252)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(9\/2)*j*j*j**(-9)\/j*j)**(-45))**(-1\/48))**(1\/3) assuming j is positive.\nAnswer: j**(-105\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388*p + 25*p + 1011*p)*(-4*p + 2 + 5*p - 3*p).\nAnswer: -2848*p**2 + 2848*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38036 is divided by 227?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*g**3 - g - 10 + 37 - 5*g**4 - 26 as v*g + d*g**2 + m*g**4 + y*g**3 + p and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16379004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1824 = -2*h + 8*h. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 10, 4*x = -4*z + 20 + 4. Solve 2*y = g + g + 6, -3*y - z*g - 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1348 and 3033?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3488*u - 817*u + 9144*u.\nAnswer: 11815*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-15 - -14) + -7 + -8)) + (-43 - 2)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 414 and 0.1.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -222896 and -13219764.3.\nAnswer: -13442660.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 2, d: 1, g: 4, e: 1}. What is prob of picking 1 e, 1 t, and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5908.575 milligrams in tonnes?\nAnswer: 0.000005908575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 11*w)*(-4*w**3 - 3 + 3) - w**4 + 6*w**4 - w**4 to the form y*w + x*w**3 + z*w**2 + m + r*w**4 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-55) + (-36)\/44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 0.3.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3344629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11254 (base 7) to base 6.\nAnswer: -21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from {b: 4, d: 6, h: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*u + 577190, -3*u + 38965 - 183273 = -h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-15) - (-2)\/(-6). Let l(n) = -5 + n**3 + c + 6*n - 7*n. Let z(m) = 8*m**3 - 6*m + 2. Determine 6*l(a) - z(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:21 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 175*a + 13980. What is t(-78)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 5*o - k, -2*o + 5*k + 58 = -1. Calculate the highest common divisor of o and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -109. 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: What is -16211 divided by -1?\nAnswer: 16211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:19 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = 2*x. Let u(v) = -5*v - 1. Let l be u(x). Let d = -15 - l. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -13*m + 11*m. Let h(d) = 4*d**3 - 14*d**2 + 14*d. Let q(g) = -g**3 + 3*g**2 - 3*g. Determine m*q(l) + 3*h(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-9 + -1 + 9) + 0 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + 241*w - 429. Determine s(-15).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327633478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*j + 2989 + 703 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6048))\/sqrt(6).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 47*w + 147. What are the prime factors of y(52)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:56 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 23.818 and -315239269.\nAnswer: -315239245.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.36406 nanometers to kilometers.\nAnswer: 0.00000000009736406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 333332?\nAnswer: 333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -16, 3*y = -21*d + 25*d + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -23 + 40 + (-6 + 6 - 17).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024139 is divided by 131?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 7*l - 1. What is the hundreds digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0253684 tonnes?\nAnswer: 25368400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/3*p + 4*p**2.\nAnswer: 2*p*(6*p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264505.8 minutes to milliseconds.\nAnswer: 15870348000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, 1303\/3, 0.1, -1.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 3*z**2 + 7*z + 5. Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 4064276*u\/3 + 4129584851044\/3.\nAnswer: (u + 2032138)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, -0.4, -3, 0.01.\nAnswer: -3, -0.4, 0.01, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 351*l**2 - 232*l + 24184. Let v(b) = 27*b**2 - 18*b + 1860. Let x(w) = 2*a(w) - 27*v(w). What is the first derivative of x(c) wrt c?\nAnswer: -54*c + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/13 - 30834096*z\/13 = 0. Calculate z.\nAnswer: 0, 15417048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 - 88\/(-3)*3. Let t = z - 17. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b**2 - 10*b + 16*b + 7*b**2 + b**2.\nAnswer: 3*b*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 9}. What is prob of picking 1 d and 2 s?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (2 - 1 - -1). Let y(s) = 1 + 28*s + 39*s - 65*s - 1. Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1543.504cm?\nAnswer: 15435040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-0.3039255.\nAnswer: 1.30687965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**(1\/6))**(-2\/91) assuming h is positive.\nAnswer: h**(1\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 150472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/50 - 37\/(-5). Let l(q) = -q**2 + 5*q + 3. Give l(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from cgggsgc?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003093803975 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 6*p**3 + 15*p + 61*p.\nAnswer: -6*p**3 + 81*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -381751 divided by -900\nAnswer: 381751\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - 5*g**2 + 2*g**2)*(g - g + 5*g) - g**3 - g**2 + g**2 in the form t*g**2 + v*g + r + u*g**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 2. Suppose 0 = 5*l + 3*j + 5, -3*l + 3*j - 3 = 6*j. Let p = -0.8 - -0.3. Which is the biggest value? (a) y (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:24 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + (-238)\/28)*1*-7. Which is bigger: -20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32741302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236.162 and 48?\nAnswer: 11335.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-10) + (-6198)\/(-30) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803644 + 0.08430344\nAnswer: 803644.08430344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let j(b) be the first derivative of 3 + 0 - b**2 + 2 + 1. What is u(j(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(-6)\/(-3). Let o = 12 + h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*a**2 - 7*a**2 + 5*a**2 + (0*a - a - 4*a)*(0 + 0 - a))*(0*a**2 + 3*a**2 - a**2) to the form c*a**3 + r*a**4 + m + v*a + d*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 30 = 6. Suppose 4*p - 27 - f = 0. What is the smallest common multiple of 3 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 n when four letters picked without replacement from nnnpy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o - 4*m - 6, 4*m + 20 = 2*o. Let g be o\/3*(-15)\/(-20). Let a = 0.01 - 3.01. What is the closest to g in a, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 1 in descending order.\nAnswer: 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557462826.\nAnswer: 2, 1559, 499507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2636*z + 4489 wrt z?\nAnswer: -2636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 986 - 473 + 95 + q to the form u + w*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 2*c**5 + 2*c**5 + (5*c - 2*c**3 - 5*c)*(-c**2 + 3*c**2 + 0*c**2) + (-c - c + 3*c)*(-4*c**4 + 2*c**3 - 2*c**3).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -30*i + 2. Let t be d(-2). Suppose -584 = -t*k + 54*k. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*2*(-1*(sqrt(275) + sqrt(275)*-1 + sqrt(275)))**2.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -293.0293 and -4535503.\nAnswer: -4535796.0293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 79 - (3 + -1) - -3. Suppose 32 = a - 3*o, 2*o - g = -4*a - 2*o. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 7}. What is prob of sequence baa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 341 - 104. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -20*k**2 - 31*k + 43*k**3 - 12 + 13*k + 3 - 42*k**3. Let c be d(21). Suppose -6*t + 402 = c. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t - 4. Determine l(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 4*j - 1 + 9, 0 = 4*j - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 169.15. Let y = -0.15 - v. Let z = -58 + 58.5. Which is the nearest to -0.1? (a) y (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 + 3*h + 3. Let x(l) = 29*l**2 - 17*l - 17. Let c(v) = -34*o(v) - 6*x(v). Let u(f) = 3*f**2 + 2989 - 1489 - 1500. What is u(c(y))?\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961757023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 6*p - 119074 + 119008, 0 = 3*p - 5*z + 3 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-1)\/168). Let l be ((-2)\/8)\/((-7)\/h). Suppose -g = l*g - 12. Solve g*d = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39520 and 90480.\nAnswer: 3438240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4434430 + -3004?\nAnswer: 4431421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 283. Let f(p) = p**2 - p - 2. Let m be f(-2). Let h = m + t. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/4 - 525*q**4\/4 + 17915*q**3\/4 - 192255*q**2\/4 - 52675*q = 0. What is q?\nAnswer: -1, 0, 28, 35, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 + 1 - 1) + -5 + (-376 - -350).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3633.3 and -536143.\nAnswer: -539776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/7 - 20199*g**3\/7 - 102050385*g**2\/7 - 509868209*g\/7 - 611696454\/7 = 0. What is g?\nAnswer: -10097, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -232, -347, -460, -571, -680, -787?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (3 + 1 - 6)*(2 + 0 - 4) - 6 + 4 + 1)*((0 + 2*f**2 + 0)*(0 + 0 - 2*f) + 0*f**3 - f**3 + 0*f**3).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*g - 3*g + 0*g)*(-89 - 52*g + 89).\nAnswer: 52*g**2 - 156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 275155364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - l + 248, -3*t + 6*t = l + 250. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 0*t**3 - 2*t**3 - 16 - 4 + 56.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539642865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(272) + -1)**2)*1.\nAnswer: -8*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(9\/(-12)) - 4. Suppose -7*p + 609 + 1967 = x. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 6 + 6)*(582*u - 297*u - 907 - 283*u).\nAnswer: -2*u**3 + 907*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*i + 4*i**2 + 41*i + 38*i)*(-i**2 + 6 - 6) to y*i**3 + d*i**2 + z*i + q + s*i**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*f - 2*f. Let v = 2075 - 2057. What is the least common multiple of f and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/4 - 3*k\/2 - 6 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 + 8*x. Let h be (2 - 21\/6)*(-16)\/(-6). Let m be f(h). What is the greatest common factor of m and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/24 - 6*p**2. Let z(a) be the third derivative of a**4\/8 - 26*a**2. What is z(y(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*1)\/(sqrt(500)*-1) + 5 + sqrt(3)*4 + -1*(sqrt(3) + 2).\nAnswer: 3 + 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494858*p + 494858*p - 3 + 23*p**2.\nAnswer: 23*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2348790 divided by 59.\nAnswer: 39810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-195)*10)\/((-6)\/(-156)*4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 3*a**2 + 3*a - 1. Let u(v) = -2390*v**3 - 12*v**2 - 12*v + 4. Calculate -u(g) - 4*z(g).\nAnswer: 2386*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:41 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85652 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 - 2226*l**2 + 110304*l - 1337472 = 0.\nAnswer: -1161, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x - 157. Let o(a) = -14*a**2 + 3*a + 3. Let t(y) = -4*y**2 + y + 1. Let j(k) = -o(k) + 3*t(k). Give i(j(b)).\nAnswer: 22*b**2 - 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4891 + -138.5109. What is the smallest value in o, -1\/5, 31, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/378 and -13\/19530?\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -107159 (base 10) in base 3?\nAnswer: -12102222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, k: 2, u: 11}. Give prob of sequence uu.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (3 - 138\/(-6))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Let t = -2535 - -2539. Let c(h) = h**2 + 5*h + 3. Let q(l) = l**2 + 4*l + 3. Determine f*c(u) + t*q(u).\nAnswer: u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 13*o + 34. Suppose -172*z - 22 = -174*z. Calculate the least common multiple of 11 and d(z).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**6\/45 - y**5\/60 - y**4\/18 + y**3\/18 + 3*y - 2. Let a(t) be the first derivative of h(t). What is s in a(s) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-18)\/(-780)*8\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219 or 93?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 48\/(-15))\/(8\/20). What is the closest to z in 2, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15965 and 1545?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (-3 - -4 - -1). Is -9 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091022516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 - -175. Put 4, u, 5 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 41 in decreasing order.\nAnswer: 41, 28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372 + 373. Let i(k) = 742*k**3 + 8*k**2 - 10*k + 2. What are the prime factors of i(w)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 1. Let m be a(2). Sort -2, m, -5.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:40 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*-1*98\/(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, 1.2, 3, -0.2, 17 in decreasing order.\nAnswer: 17, 3, 1.2, 2\/9, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -84510 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1477198, 5, 1\/6, 0 in ascending order.\nAnswer: -1477198, -2\/9, 0, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72789488?\nAnswer: 2, 31, 101, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(6) + sqrt(12)\/sqrt(2)))\/(sqrt(6)\/(sqrt(10)\/sqrt(5))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s + 3. Determine h(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*o + 0*o**2 + o**2 - 129*o)*(-11*o**2 + 11*o**2 + o**3).\nAnswer: o**5 - 90*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36320 divided by -9080\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from kmkqkmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 35, 59, 85?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 1. Let u(c) = -8*c**3 + c**2 - c - 2. Let x(a) = 2*d(a) + u(a). Let n(f) = 7*f**3 - f**2 - 2*f. Calculate 3*n(z) + 2*x(z).\nAnswer: 5*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*g = -1, 44285*o - 2*g = 44293*o + 110 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 19 - -2 - 6 - (0 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*b, -6*y + 48 = -10*b + 12*b for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-3))\/((-35)\/5))\/(72\/(27216\/2))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z - 28*z + 364. Let c be (0\/(-2))\/2*1. Solve c = z*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43371896 to the power of 1\/2, to the nearest integer?\nAnswer: 6586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420173 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2144923 or 1?\nAnswer: -2\/2144923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49265.63 decades?\nAnswer: 492656.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u + 2. Let o(g) = -5*g - 6. Let b be o(-2). What is z(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 12098.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = w - 25, 0 = -w + 3*b - b - 5. Solve -4*n = 5*k + 31, -3 = 4*n - w*k - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442814879 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1456)\/1820*3000\/80.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/1)\/((-2)\/(-2)). Let y(q) = q**2 - q**3 + 5*q + 2*q**2 - 4 - 3*q. What are the prime factors of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-11)\/(-7) + 2964\/399. Let j(t) = t - 9. Determine j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuc when three letters picked without replacement from {x: 1, u: 5, c: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366105?\nAnswer: 5, 1473221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 233127 + 5857. Let m = w + 23809. Let b = m + 142937. Round b to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 5*h**2 + 12*h - 8. Let k(r) = r**2 + 13*r + 5. Let s be k(-12). Let t be n(s). Solve -3*x = -6*x + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1631, -18186, -64563, -155672, -306423, -531726, -846491, -1265628?\n\"Answer: -2485*l**3 - l**2 + 843*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 222869*t + 891505. Give b(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7218*t**2 + 21530*t**2 - 7279*t**2 - 7309*t**2 + 7 to l*t**2 + m + v*t and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 19*v**2 - 39*v + 174. Let s(y) = 15*y**2 - 40*y + 175. Let b(u) = -5*i(u) + 6*s(u). Find r such that b(r) = 0.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = 396. Suppose 3*p - 339 = u. What is p rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4, 71\/8, -8\/5, 135\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 8) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(272)*-2.\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 9, -1\/119 in ascending order.\nAnswer: -1\/119, 9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 2*w**3\/3 - w**2\/2 - 4*w + 36. What is i(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -4, -8, -22, -52, -104, -184, -298?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i - 8 = -60*i. Suppose -8*z + 4*z - 4100 = -4*q, -3*z + i*q = 3070. Is -1*4\/(-30) + (-25364)\/z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 0. Let a be (1*(2 + -4))\/(-2). Suppose 4*i - 3 = 3*w + a, 3*i = 4*w - 4. Solve -w*k = h + 15, 3*h + o*k + 9 = -3*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 = 3*y - 1, -5*w + 348 = -2*y + 320 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -795922 (base 10) to base 16\nAnswer: -c2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1090812*m - 1089613*m + 34771 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*d - 23. Let k(q) = 7*q**2 - 7*q + 4. Let a(y) = y**2 + 1. Let g(v) = 5*a(v) - k(v). Give g(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -4394?\nAnswer: -4394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 480.9997152 - 481. Round k to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11195 - -37560. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*f - 67*f - 2. Let r = 3 + f. Solve 0 = p - r*u + 3*u - 7, -p = u + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 5*n + 5*n)*(2*n**3 + n**4 - 4*n**4 - 3*n**3).\nAnswer: -24*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342963478 by -202.\nAnswer: 1697839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 3, t: 3}. Give prob of sequence bttc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -87.18337419.\nAnswer: -87.48337419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqqq when four letters picked without replacement from qcqqchhhqhqccqqc.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3829970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/((54\/15)\/(28\/(-5))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 161\/84 + -6 + 292\/48. Let r(a) = -a**3 + 5*a**2 - a - 3. What is r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 + 1224*p - 374544 = 0.\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -16. Let x(m) = -68*m**3 - m**2 + 2*m - 1. Let c be x(1). What is the tens digit of -3*(-1)\/(s\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22172, 22175, 22188, 22217, 22268, 22347?\n\"Answer: w**3 - w**2 - w + 22173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/147 and -55\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 35*c + 67. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, 4*w + 5*o + 21 = 0. Which is smaller: 6\/7 or w?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56)\/812 - 163796\/(-58)?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 4 - 9 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 12. Let x be -10*(3\/y)\/(-2). Suppose -4*s + q - 3 = -23, 0 = 5*s + 2*q - 12. Sort x, s, 2 in ascending order.\nAnswer: 2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (-635)\/(-20) - (9\/(-4) + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 take away -51?\nAnswer: 49.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 11246*z**2 - 5615*z**2 + 0*z - 4*z - 5612*z**2.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.803*-0.1.\nAnswer: -5.0803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meeemeee. What is prob of sequence emme?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1953849*y**2 + 226*y**3 - 2 + 976911*y**2 + 976938*y**2 + 2.\nAnswer: 226*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 107*r - 109*r + 3*r**2 - 9 - 2*r**2. What is the units digit of y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122 - -12?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 34*n + 177. Give p(41).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 525*k - 100. Let n(l) = -350*l + 65. Calculate -5*h(z) - 8*n(z).\nAnswer: 175*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooiiiv. Give prob of sequence ioiv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567, -4, -15\/11 in ascending order.\nAnswer: -567, -4, -15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*l = -40, -10*w + 5*w - 3*l - 34 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 341 - 320. What is the smallest common multiple of q and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + (-22)\/6. Let b(y) be the second derivative of 5*y**4\/12 + y**3\/2 - 3*y**2\/2 - 149*y + 2. Let a(v) = v**2 + v - 1. Determine k*a(g) + b(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38470952042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 2. Let u(f) = -2*f + 3. Let p(w) = 7*d(w) - 6*u(w). Give p(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 5, 1, -63, 0 in decreasing order.\nAnswer: 27, 5, 2, 1, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -o + 7. Let -24 + 79*j**3 - 83*j**3 - 34*j**2 - o*j + 10*j**2 = 0. What is j?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93151, -1, -5, 2.\nAnswer: -5, -1, 2, 93151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 12*x**2 + 15*x + 8. Let r be t(-11). Let f = 38 + r. Solve 2*k + 0 = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*30\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 215*d**2 - 301*d + 98. Give w(-55).\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -391 - -542. Let o = 147 - y. Which is the closest to 1? (a) -2\/17 (b) -6\/11 (c) o (d) -13.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31064?\nAnswer: 2, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117714001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfppfwwfffffpwppp. Give prob of sequence pww.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5701.6, -0.3.\nAnswer: -5701.6, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -651221758*n - 99845138 wrt n?\nAnswer: -651221758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.62488 times 1.83\nAnswer: 6.6335304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 16 + 17 - 33.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17519 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173489*t**2*w**2 - 18*t**2 - 1451587*t*w**2 - 5*t - 3*w**2 wrt t?\nAnswer: -346978*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 + (-19)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6075713\/100 - -60756. Calculate the common denominator of s and (-2313)\/1620 + 3\/(-12).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*(-2 + 0 + 2*r - r).\nAnswer: 4*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3220 and 6448855.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035 + -7726.\nAnswer: -7725.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.5555 rounded to one decimal place?\nAnswer: 337.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((4\/(-3))\/2). Suppose -c - 12 = y*t - 138, -t - 5*c + 42 = 0. Suppose 5*n = -15, 0 = -3*r - 2*r - n + t. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5166, 10336, 15506, 20676, 25846?\n\"Answer: 5170*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1194861449*c - 778165330 wrt c.\nAnswer: -1194861449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 525945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 25 - (4 - -2) - (-42 - -37).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310039 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20)\/(i\/i**(-2\/47)))\/(i**24*i**(-8\/9)) assuming i is positive.\nAnswer: i**(-18677\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -11*f. Suppose -4*h - 3*l + 2681 = f, -2*h - 2*h + 2680 = 4*l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5 + (-588)\/3960. Let z be (-2 + 0)*((-116)\/(-48) + -2). Let b = w + z. Calculate the common denominator of b and -3\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 + 4*d - 1. Suppose 5*w - 11 = 9. List the prime factors of u(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9137 + 44089 - 12508 = 833*q - 27588 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24227 and 2555.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11d03 (base 14) to base 11\nAnswer: 2a928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-27))*h**(-1\/68))\/((h\/(h**(-21)*h))\/(h\/(h\/h**(-1\/26)*h))) assuming h is positive.\nAnswer: h**(4373\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f - 12. Suppose 4*c + 50 = 5*b - 60, -f*b + 2*c = -88. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*a**3 - 117*a**3 + 41*a**3 + (-2 + a + 2)*(-5*a - a**2 + 5*a) + 38*a**3 - 26*a**3 - 29*a**3 in the form b*a**3 + o*a + u*a**2 + h and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 10926684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -160*o**3 + 13*o**2 - 7*o + 2. Let c(h) = -161*h**3 + 12*h**2 - 6*h + 2. What is -7*c(b) + 6*j(b)?\nAnswer: 167*b**3 - 6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -973*1*(4\/4)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 22*y = 227192. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1586 + 1585.9. Let g = 6.4 + -0.9. Let p = g + -6. Which is the closest to h? (a) 1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.165337 litres?\nAnswer: 8165.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-242)\/(-55))\/(-11)*-6*(-100)\/15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6631050 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2*d**2 + 5*d - 6. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 92\/552*4\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:16 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(27\/2)\/9. Let i be (s\/(-30)*-52)\/(1\/5). What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/3248 or -1?\nAnswer: 3\/3248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 2383 + 4*z**3 - 1197 - 1199 - z**3.\nAnswer: 10*z**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*(-8 + o + 8)*(-3*o**3 - 3*o**3 + 7*o**3) - 3*o**5 - o**5 + 3*o**5 + (-o**3 + 0*o**3 - o**3)*(2*o**2 + o**2 - 4*o**2) - o**2 + o**5 + o**2.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.21919195\nAnswer: 0.109595975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 746*p**2 - 11*p - 2. Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 3*b + 119. Give y(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 19*a - 1. Give t(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2. Let g(s) be the second derivative of -s**3\/6 + 16*s. Determine g(t(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**0)*h\/(h*h**(-6\/11))*(h**(-2\/5))**(-30) assuming h is positive.\nAnswer: h**(138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.2 - 145046006?\nAnswer: -145045961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n - n. Let q be (-4)\/(-8) + n\/(-3). Let o = 8 - 4. What is the closest to 2\/3 in -1, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 14*l**2 + 12*l + 22. Let v be y(0). Solve -2*w - 4 = 2*b, -v*b + 24*b = 4*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - 28. Calculate the common denominator of 6\/24 - h\/32 and 41\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h - x + 17, 0 = -2*h + 4*x - 36. Suppose 5*r = 2*r + 6. List the prime factors of ((-4)\/h - r) + 507\/6.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**5 + 11*k**3 + 16*k. Let i(c) = 2*c**5 + 2*c**3 + 3*c. Let u(f) = -33*i(f) + 6*t(f). Find the second derivative of u(b) wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75.76283 days?\nAnswer: 6545908512000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4679338 rounded to 3 decimal places?\nAnswer: 0.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:51 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2693856 is divided by 299317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560071 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2, 430, 4\/13, 2\/9, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607597, -1215282, -1822967, -2430652?\nAnswer: -3038337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14204.08 rounded to the nearest 100?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890635.\nAnswer: 5, 178127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58339, -60228, -62117, -64006, -65895?\n\"Answer: -1889*x - 56450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 7*o - 9*o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and (-4)\/22 + 6 + (-9252)\/(-66) + -2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.7 - 51.9. Sort 45, n, 2\/7, 2\/3, 6 in ascending order.\nAnswer: n, 2\/7, 2\/3, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678843 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Let g = j + -10. Let m = 6 + -6.3. Which is the biggest value? (a) 1\/2 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162 and -26.1?\nAnswer: 4228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 154\nAnswer: -25\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -810288 divided by 662\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 5, -67 in increasing order.\nAnswer: -67, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*w - 5 = 416*w + 5*n, 19*w - 97 = -2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 4*k - 4. Is v(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14) - 3947346\/118083?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - s - 517 = 0, -3*v = -5*v + 4*s + 358. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, s: 1, r: 3, p: 4, h: 1}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 68*s**2 - 1133*s + 63. Let h be v(29). Which is the nearest to 5? (a) 17\/5 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 + 3*h - 1. Let d(l) = l**2 + 1. Let i(y) = -4*d(y) - t(y). Give i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34\/135 + 4\/135. Let z = -7\/5 - -9\/5. What is the closest to 0.2 in m, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 20*x**5 + 2652*x**4 - 1144*x**3 - 10608*x**2 + 4256*x = 0.\nAnswer: -133, -2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/298742 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let d = 6 + f. Suppose 0*x = 2*x - 4. Solve -5*h = 3*m - 8, d*h = -0*h + x*m + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*d + 1468008 = -163*d. Suppose -403311 = -15*r + d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*z = 59*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6001312 is divided by 869.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*s = 240, 4*s = 5*t - t + 192. Let k = t - -102. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10786, -25665, -40544, -55423, -70302, -85181?\n\"Answer: -14879*d + 4093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -441 + 1180. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -w - 2*q, 2*q + 3 + 0 = -5*w. Find the third derivative of -1 + 0*j**2 + 13*j**5 + 7*j**5 - 5*j**2 - 1 + w wrt j.\nAnswer: 1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 24*q**2 + 8*q + 14. List the prime factors of a(-8).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27863 - 27849.361. What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291904736 to the nearest integer?\nAnswer: 17085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 31. Let t(h) be the second derivative of 1\/3*h**3 - n*h - 1\/12*h**4 + 0*h**2 + 0. Find the second derivative of t(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:11 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (287\/(-7)*2)\/4*840\/140\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let h(k) = 506*k. Let u(c) = c. Let g(d) = -h(d) + 69*u(d). Determine z(g(l)).\nAnswer: 190969*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 + 20 - 92*p - 3*p**2 - 29 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/16 - (-10)\/8. Let h = -9 + 23. What is the remainder when 8*3 - (x - 4) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-4 - 2)) + 0. Suppose -y*q = -14 - 1. Suppose -f - f - s = -44, -q*s = -2*f + 60. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5019 = 3*q, 0 = 3*q - 54*c + 57*c - 5040. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + 0\/(-3). Let b be (-1)\/(-4) + 9\/60. Let f = 155 - 155. Sort f, s, b in ascending order.\nAnswer: s, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -2043, -4424, -7729, -11946, -17063, -23068, -29949?\nAnswer: -37694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7168*s - 43024. Determine o(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9702 - -0.0298. Let l = -0.11 - 4.89. What is the closest to 0.2 in 0.1, l, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2. Let w(t) = -5*t**2. Determine u(w(h)).\nAnswer: 350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.881 + 0.2?\nAnswer: 1.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.134.\nAnswer: 0.0536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12)*(-15)\/1. Let r(x) = -91*x - 1. Let w be r(-1). What is the highest common factor of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 10*p**2 - 2*p - 17. Let k be n(-10). Suppose 0 = -4*v + 2*c + 5506, k*v + c - 2093 - 2024 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-77) + (-2479)\/(-7665). Let z = u + -2\/219. What is the closest to -2\/5 in 0.5, -1\/9, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134045 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -25*p + 355, 2*p + 5*i + 31 - 34 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -17\/6*d**3 - 9\/4*d**4 + 10*d + 0 + 0*d**2. Find the second derivative of g(a) wrt a.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 21*v**2 + 14*v - 8. Let y be f(21). Let w = -288 + y. Are w and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24501.\nAnswer: 3, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let m = 2 - b. Let j = -646 - -656. Solve -4*i = -3*u - 2*i - j, m*u - 2 = -3*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 44*n + 25*n - 69*n.\nAnswer: -112*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 10. Let f = r + -7. Find the first derivative of -f*g**4 - 5*g**4 - 35 + 36*g**4 wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -34*g**2 + 20*g. Let r be q(8). Let p = r - -4879. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*m**2 + m**2 + 6*m**2)*(-5*m + 2*m + 2*m)*(-11 - 1 + 17) in the form z*m**2 + y + x*m**3 + s*m and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84326?\nAnswer: 2, 11, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6954, -0.1, -1\/3, 0.5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 - (1 - 3). Let d be (2 + -1 - w)*109. Suppose -d = -5*o + 2*n - 27, -2*o = -n - 76. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*d*d**(-1\/3)*d))*d*d*d**2*d)\/(d\/d**(-1\/3))**(5\/7)*(d*d**(-1))**(3\/49)*d**(-3)*d\/d**(-2\/13) assuming d is positive.\nAnswer: d**(534\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -869, -1305, -1743, -2183, -2625, -3069?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16 and 53\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2. Let t = -4 + 4. What is the units digit of w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, 0.5, 47.0575, -2\/5.\nAnswer: -1, -2\/5, 2\/5, 0.5, 47.0575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 798607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/28, 207, -12, -2, 3\/2, -3\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2110 and 35\/234632.\nAnswer: 1173160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2705001, -5410000, -8114997, -10819992, -13524985?\nAnswer: -16229976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.459375 years in decades?\nAnswer: 0.3459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257628*y + 257745*y - 8775 = 0 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/3)*q)**(-2\/9)\/(q**(1\/3)*q*q**7))\/((((q*q**0)\/q)\/q*q*q)**34\/(q**(6\/5)\/(q\/(q**(4\/3)*q)))) assuming q is positive.\nAnswer: q**(-5413\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 8. Let d(i) = -10*i**3 - i**2 - i + 2. Let l be d(1). Let p = -5 - l. Let a be g(p). Solve 0 = a*w - 4*r + 2, w + 4*r + 4 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2786*h + 653*h + 10354*h.\nAnswer: 13793*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816578 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 621376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5684 = 6*p, 24*v + 3*p = 20*v + 22871. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 41 = 4*h, -313*h + 0*d - 23 = -315*h - 15*d for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159*z**3 - 129*z**2 - 1038 + 5338 + 66*z**2 + 61*z**2 wrt z?\nAnswer: 477*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3037606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ad54 (base 14) in base 15?\nAnswer: 2d0c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22366185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose 3*y + 21 = 3*q, -24 = -3*q + y - 9. Find the common denominator of ((-10)\/1170)\/(q\/582 - 0) and 59\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6752?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, -7, -42, -91, -154, -231, -322?\n\"Answer: -7*p**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2 - 1 + 1\/3*b**3 - 1\/3*b = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + f**2\/2 - f - 1225. Let p(n) = -n**2 + 4*n - 5. Determine p(u) - 3*t(u).\nAnswer: -4*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**9\/6048 + k**8\/1680 - k**6\/360 + k**5\/240 + k**3\/6 - 4*k**2. Let a(q) be the first derivative of d(q). Factor a(u).\nAnswer: -u*(u - 1)**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*o - 25486183*a**3 - 6621186*a**2*o - 2*a**2 + o wrt a?\nAnswer: 18*o - 152917098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) 3\/5 (c) -12 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 9*g**2 + 5*g - 7. Let t(p) = -p**2 - p + 1. Let x be 2 + 0 + -1 + 0. Let q(v) = x*o(v) + 4*t(v). Let r be -4*(-3 + 2)*-1. Give q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*4)\/4*5*79\/75?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 3*o**4\/8 + o**3\/3 + o**2. Suppose 2*n = -3*q - 4, 7*n + 16 = 3*q + 5*n. What is the tens digit of u(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - -2 - (0 - -38). Let p = u + 56. Let s(k) = k + 17. Is s(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*z - 7, 7*r = z + 21 + 38 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 373885 or 373880?\nAnswer: 373880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -11*a**3\/3 - 55*a**2\/2 - 128. Let c(j) = j. Determine 55*c(k) + s(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, -1\/3, 0.1, -4241, -7?\nAnswer: -4241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 214. Let u = 81 - k. What is the closest to -2 in u, -4, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j + j)*(-2 + 44 + 0)*(0 - 1 + 3) to o + a*j and give a.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -136144?\nAnswer: 13613a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.29 in 25941, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**2 + 2*t**3 - 6*t**2 - 3*t**2 + (6 + 0*t - 2*t + 2)*(t**2 - t**2 - 2*t**2) + (2*t - 5*t + t)*(t**2 - t**2 - t**2) + 5*t**3 + t - t.\nAnswer: 13*t**3 - 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-175)*30\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1288 and -53\/718704?\nAnswer: 718704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = -5*i - 1, -4*z = 4*i - 4. Let h = -2.452 - 2.548. What is the nearest to z in h, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 25. Let f = o - -61\/2. Let q = -56 - -167\/3. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -631*w**4\/4 - 424*w**3\/3 - 139. What is the third derivative of o(i) wrt i?\nAnswer: -3786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118891?\nAnswer: 118891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*g - 19, 40*g = -5*f + 35*g + 40. Factor r**2 - 4\/3*r + 2\/3*r**f - 1\/3*r**4 - 4\/3.\nAnswer: -(r - 2)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143579 = -17*x - 143239 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964 + 2255 = -109*u - 198*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00192819 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27037.9 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-140) - 1 - ((-18)\/(-4) + -6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*(n*n\/(n*n**(-6\/11)))\/n*n)\/(n\/(n\/(n*n**(-1)*n*n)*n))**(-14\/13))\/(n**0\/n**(1\/3))**(7\/4) assuming n is positive.\nAnswer: n**(15797\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from {d: 4, w: 2, g: 1, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 1acf86?\nAnswer: 1acf89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d. Let l(a) = 64*a + 5. Give l(u(r)).\nAnswer: 320*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*r - 13*r - 171 + 7*r - 768*r**3 + 14*r + 13*r wrt r.\nAnswer: -4608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602622.9 months in decades?\nAnswer: 5021.8575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14 + (-78)\/91?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 2, 29, 78, 155, 266?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 110*i**2 - 2*i**3 + 7 - 86*i**2 + 1. Let n be k(12). Calculate the greatest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2596891 or -44?\nAnswer: -2596891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 17}. Give prob of picking 2 t.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, -23.6, -4.15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 0, -q + 3 = -3*d + 2. Let u(j) be the third derivative of 5\/24*j**4 - 1\/6*j**3 + d - 1\/120*j**6 - 4*j**2 - 1\/12*j**5 + 0*j. Give u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005653096 rounded to five dps?\nAnswer: 0.00565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -40. Let m be 3\/((-6)\/u*-1). What is the greatest common divisor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10729313 to the power of 1\/2, to the nearest integer?\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 + 10 - 10.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 8 = -4*h, 2*t - 4*h - 90 = 0. Let i(q) = 2*q**2 - 70*q - 58. What is the smallest common multiple of 3 and i(t)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94, 169, 234, 283, 310?\n\"Answer: -w**3 + w**2 + 79*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/w**(-8))\/w))\/w**(-1\/18))**35)**(-7\/4))**(39\/5) assuming w is positive.\nAnswer: w**(79625\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - ((sqrt(3) - sqrt(3)*1) + sqrt(3))) + 0 + sqrt(9)\/(sqrt(6)\/sqrt(2)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*i - 3 = 0, 3*a - 5*i = -i - 4. Suppose a*q + q = 0. Solve 0 = u - q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -66?\nAnswer: -47\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -u + 4*u - 30, -2*r - 2*u = -4. Is -40\/9 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13415.73995 rounded to 1 decimal place?\nAnswer: -13415.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97509833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/13 + 5\/(65\/(-2)). Which is the smallest value? (a) -0.2 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Let h be 148*((-275)\/b)\/5. Let y = 31070 + h. What is y rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -214, -469, -566, -427, 26, 871, 2186?\n\"Answer: 13*t**3 + t**2 - 349*t + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*g + 66*g - 6510 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3963 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -210, -131, -64, -15, 10?\n\"Answer: -t**3 + 86*t - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvqddqddr. What is prob of sequence vdd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3. Let s(t) = 10*t**3. Give 15*h(a) + 6*s(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -388, -354, -298, -214, -96, 62, 266?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Let k be ((-2)\/6)\/((-1)\/6). Suppose 2*b - k*a + 31 = 3*a, y*b = -5*a + 16. Is b <= -7\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -231523499, -231523501, -231523503, -231523505, -231523507?\n\"Answer: -2*v - 231523497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2. Let i(x) = 733*x. Determine k(i(c)).\nAnswer: 1074578*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 1110011000100100000100100?\nAnswer: -1110011000100100000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/675101 - -13502014\/2025303. Find f such that 5\/3*f**4 + 5\/6*f**5 - 10\/3*f**3 + 0 + 0*f - p*f**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.71784529\nAnswer: -0.0287138116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 38. Let q = s + 17.8. Which is the second biggest value? (a) 0.03 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18000 and 151\/4080.\nAnswer: 306000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31455 is divided by 31369.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1522?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -111, -252, -451, -708?\n\"Answer: -29*r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59.83 + 60. Let j = 0.127 - -0.943. Let t = v - j. Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - -6*(sqrt(720) + 1) - sqrt(720)) + -3 + 0 + sqrt(720) - ((sqrt(720) + sqrt(720) + 1 + -1 - sqrt(720)) + (1 + sqrt(720))*6))*-2 + 4)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - m + 3 + 6 = 0, -4 = 4*m. Let g be 2\/(-2 + (-5)\/y). Suppose -2*f - 71 = -n, -n - g*f + 263 = 2*n. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8261?\nAnswer: 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-32) + 82\/(-8). Let v be (4\/b)\/(6\/1800). Let i be (-10)\/3 + v\/(-90). What is the third smallest value in 1.8, i, 1\/4?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.63 - 7.37. Let h = f - -9. Let p = 2.6 + -0.6. Which is the third smallest value? (a) p (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 100011001?\nAnswer: 100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from ummmmmmmmmummmmkv.\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4 = s, 58*s + 2*c - 20 = 53*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 - -279. Let u = -83 - v. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + l = 9, 140 - 137 = -3*u + 5*l for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 1\/360*q**5 - 88*q**2 + 0*q + 0*q**3 + 0 + 1\/24*q**4. Factor i(l).\nAnswer: l*(l + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3 - 3*d**3 + d + d**3 + 3*d**3. Let o be l(0). What is the second derivative of -3*n - n**3 - n**o + n**3 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 3*q + 7*q + (-4 + 12 + 0)*(-q + 0*q + 3*q + (q - 4*q + 2*q)*(1 + 1 - 3) - 2*q + 5*q - 2*q + q + q - 3*q) to s*q + z and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 49\/3. Let u be (-239)\/3 - (-4)\/(-12). Let m = -882\/11 - u. Sort d, -1\/5, m.\nAnswer: -1\/5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7df3 (base 16) to base 11.\nAnswer: 22252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11833*i**2*x - 315*i**2 wrt x.\nAnswer: 11833*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/40140366 and 31\/694470?\nAnswer: 200701830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pooopopccphroov. Give prob of sequence cpc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 157870 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 64 - 114 = -4*f, 2*z + 154 = -2*f. Let i = z - -84. Solve 2*q + i = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 52*i**2 + 197*i - 297. Let c be s(48). What is the third biggest value in -2, -7\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(-2 + sqrt(833)) + (sqrt(833) - (sqrt(833) - (sqrt(833) + -2 + -1))) + -4 + 4)**2.\nAnswer: -770*sqrt(17) + 20946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61631315 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 m = 8865 + -8860. Solve -5*q = -6*q + 1, -2*j - q - m = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88)*2))*5) + sqrt(88))\/(4*sqrt(288)).\nAnswer: 17*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003136 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1257 times -5?\nAnswer: 6285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -52, -1, 15, -23 in decreasing order.\nAnswer: 15, 4, -1, -23, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m - 319061 = -3493177. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42\/149, -5\/6, 1\/21 in increasing order.\nAnswer: -5\/6, 1\/21, 42\/149, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938528 is divided by 133862?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jchcc. Give prob of sequence hj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 279 = b, 6*a = 3*a - 5*b + 837. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4) + 1\/14)\/((-3040)\/(-2128))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 + 7*k**2 - 15*k**2. Let n be (-2)\/(-3)*(0 - -3). Let w(d) = 15*d**n - 2*d**2 - 8*d**2. What is y(w(v))?\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/35*1485\/(-4). Let p = r + -43\/2. Which is bigger: p or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2\/47, -2, -90 in decreasing order.\nAnswer: -0.04, -2\/47, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -449\/4, 1\/2, -1, -32\/5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100011100100110101101 (base 2) to base 16\nAnswer: -11c9ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403093 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 - 223. Let r = 66 + a. Suppose -2*t = -5*u - 95, 4*t - 154 = -0*t - r*u. What is the remainder when 157 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56448, 225786, 508016, 903138?\nAnswer: 1411152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 77, 134, 211, 314?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 20, 0.2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 98. Give q(-25).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*v - 21809 = -8556 + 14335 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21089 is divided by 13192?\nAnswer: 7897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10847.04 + -10847. Which is the second smallest value? (a) 2\/11 (b) m (c) 0.2 (d) 3\/5 (e) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4085796?\nAnswer: 2, 3, 11, 13, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xgxxxxgyxgg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -228*b + 224*b + 352. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 8*j**2 - 2. Let o be p(-8). Let t be 5*((-2)\/o)\/1. Which is the third smallest value? (a) 0.5 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = 2*v. Let c be 80\/v + 3 - -2. Let y = 5 - 5. Do c and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81663 and 41082?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35080 by -8770.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, -11 in increasing order.\nAnswer: -11, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 57 = 4*n. Suppose 48*a + 70*a - 2339 = 10995. What is the remainder when a is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**3 + 9*s**2 - 715 + 9*s**2 - 19*s**2 + 600 as y + l*s**3 + i*s + m*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/120 + m**5\/12 + 5*m**4\/12 + 5*m**3\/3 - 20*m**2. Let k be d(6). What is the highest common factor of 34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 4*b**2 - 3*b**2 - 5*b**2 + 5*b**2 + b**2 + (-10*b - b + 2*b)*(-1 - 2*b + 1))*(0*b**3 + 2*b**3 - 4*b**3).\nAnswer: -36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000604 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 55001*f\/5 + 55002\/5.\nAnswer: -(f - 1)*(f + 55002)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1921*h. Let k(v) = -14*v. Give k(f(o)).\nAnswer: -26894*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -3. Let x = r - -0.3. What is the closest to 0.1 in x, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 + v**4\/3 + 5*v**3\/6 + v**2. Give x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/2520 + f**6\/720 - f**5\/30 + 11*f**4\/12 + 13*f. Let m(g) be the third derivative of n(g). Determine m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-9)\/h)\/(h**(-4)*h))\/(h**(-7\/4)*h*h*h**(-12)*h*h))**(-37) assuming h is positive.\nAnswer: h**(-407\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 7*l - 3. Let i be w(-5). What is the derivative of 0*p**2 + 0*p**2 + 14*p**2 + 2 - i wrt p?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.1 + -20. Let k = 0.0975 - x. Round k to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:52 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 338?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108 + 108 + a**2 + 13*a)*(-a**2 + 4 - a**2 - 6) to the form x*a**2 + p*a**3 + o*a + d + b*a**4 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*-1)\/(sqrt(60)\/sqrt(5)*-6) + -1 + (sqrt(1584) - sqrt(1584)*-1)*6 + sqrt(1584))**2.\nAnswer: -937*sqrt(11)\/3 + 9657695\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 + (-8)\/2. Let z = 32 - 45. Let m = z - -9. Put 4, y, m in descending order.\nAnswer: 4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let b(j) = -19344*j. What is c(b(k))?\nAnswer: 38688*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10.3, 30, 8821?\nAnswer: 8821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 19*r + 9. Let a be h(10). Sort a, -3, 0, -4 in increasing order.\nAnswer: -4, -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let c = 1\/81 - 86\/405. Put 2\/9, c, s in ascending order.\nAnswer: c, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - 24*n - 73. What is the hundreds digit of l(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1)*(12 + -14). Suppose 0 = 2*d + 5*i - 1 + r, 0 = -d + 3*i + 5. Solve -4\/3*o**d - 5\/3*o - 1\/3*o**3 - 2\/3 = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-65))\/((-1)\/295). Let y = -115 + s. Let -2\/7*t**4 + 2\/7*t**2 + 4\/7*t**y - 4\/7*t + 0 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + x**3 + 2 + (-2*x + 0*x + 0*x)*(3*x**2 + 0*x**2 - 5*x**2))*((4*x - 3*x + 3*x)*(-2 + 1 + 0) + 2*x - 2*x - x).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94, -663, -2166, -5065, -9822, -16899, -26758?\n\"Answer: -77*z**3 - 5*z**2 - 15*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(3*(sqrt(5)*3 + sqrt(5))).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108418?\nAnswer: 2, 151, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v. Suppose v*o + 12 = 3*o. Solve 0 = -5*f + s - 21, o*f = 2*f + 4*s - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2.1, 3, 0.31 in ascending order.\nAnswer: -2.1, 0.31, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -333*-0.5\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 698133524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let r be v(-5). Suppose -6 - 15 = 7*i. Let x be ((-1)\/(-3))\/(i\/27). Which is the second biggest value? (a) r (b) 2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t - 2. Let o(n) = -81*n + 9. Suppose 5*p + 10 = 0, -8*h - 18 = -3*h + 4*p. What is h*o(a) - 9*x(a)?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose 4*a = 3*m + 2*m - 14, -7 = -j*m - a. What is the second derivative of -m*x - 8*x**2 + 13*x**2 + 7*x wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q - 4*g + 170, -12*q - 3*g - 23 = -13*q + 2*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Suppose 2*u - 5*a - 11 = 0, -u - 2*a = -6*a - 7. What is the units digit of 45 - (u - (y + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2450*x - 7375. What is s(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -9591a (base 12) to base 8.\nAnswer: -577746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -g + 8 - 26, 0 = 4*g - 2*q + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g - 1. Let m(j) = -4*j**3 + j + 2. Let b(r) = -2*d(r) - m(r). Let s(w) be the second derivative of b(w). Let a(v) = v**2. What is s(a(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31222455 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.046 - -0.546. What is the nearest to -1\/2 in 0.3, 2, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674254 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 - 2*q + 1. Let p = -27 - -17. Let u be a(p). Differentiate u*n**4 + 10*n**2 - 8*n**2 - 10 - 2*n**2 with respect to n.\nAnswer: 84*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 0*m - 3*r - 28, 0 = -2*m + 3*r - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 14. Let x be (12\/9 - l)*-15. Suppose 0 = -2*t - o + x, -4*t + 3*o + 102 = 2. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - sqrt(304)*-4) + 4)*5)**2.\nAnswer: 4000*sqrt(19) + 190400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.598687808 take away -0.25?\nAnswer: -158.348687808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2299) + -4 + 1 + sqrt(2299) + sqrt(2299) + -2)**2)*2.\nAnswer: -660*sqrt(19) + 41426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -1\/7 (b) -0.07 (c) 1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (114\/532*-7)\/((-1)\/8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + s**4 - 10*s**2 + 3*s**5 - 75*s**3 + 9*s**4 + 73*s**3 - 7*s**5 = 0.\nAnswer: -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708\/(-531)*((-9)\/(-10))\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-14\/5))\/w**1 assuming w is positive.\nAnswer: w**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 5*w - 8. Let y be n(4). Let j = y + 54. Let x be (j + 30252*-1)*-16. Round x to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - 1*sqrt(600))*1 - sqrt(600) - (sqrt(600) + sqrt(600) + sqrt(600) + (sqrt(600) - sqrt(600)*-1*2)))\/(2*(-1*sqrt(12) + 6*-1*sqrt(3))).\nAnswer: 35*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let h(j) = j**2 - 5*j + 1. What is h(b) + 3*z(b)?\nAnswer: b**2 - 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from upmmqmqqpvp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3\/3 - i**2 - i + 2. Let r be 112\/52 - 5 - (-4)\/(-26). Give w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9485 - 37326 = -781*i + 25267 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1174601694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + -56 + (-2 - (-9 - (-2 - 2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330749574 bigger than 2330749574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394560 by 20.\nAnswer: 19728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -718 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -16*l**2 - 204*l + 64. Differentiate t(u) wrt u.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:20 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4.35. Let a = b - -20.35. Let f = -16 + a. What is the biggest value in 2\/11, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2821, -11272, -25357, -45076, -70429?\n\"Answer: -2817*t**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996042 and 1308?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -11)*14*1. Suppose 551 - l = 3*p. Calculate the highest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Let t be 2\/w + 207522931\/(-14). Let c = 10123066 + t. What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1398 divided by -3.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7762414271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -226, -449, -698, -985, -1322?\n\"Answer: -2*v**3 - v**2 - 206*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31040\/320*(-2)\/8*4.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12346.\nAnswer: 1\/12346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 53. Solve 0 - j = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**26)**(-3\/8)\/(y**(-1\/84)\/(y\/(y**(1\/32)*y))) assuming y is positive.\nAnswer: y**(-6817\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -60. Suppose 0 = 3*n - 147 + g. What is the units digit of (n\/2)\/((-6)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 - 3*x + 1. Give f(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 14.1 (b) -5 (c) -9 (d) 1\/11 (e) 1 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207801 is divided by 69267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 7639 + 7633, 5*o + 11 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**2 - 4*t**2 - 13*t + 0*t + 3 - 2*t**2 - 3 + (-t - t + t)*(-t + 2 - 2).\nAnswer: t**2 - 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 3477.\nAnswer: 69540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < 137\/52629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = 20. What is the third smallest value in 6, 1\/3, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-371)\/35 - -7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 52 - 3*i - 2*i)*(-3 + 0 + 8)*(-3*i**2 - i**2 - 2*i**3 + 2*i**2) to a*i**2 + k*i**3 + g*i**4 + j + w*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 810084.5 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4822 - 4822. Let l = 100\/141 + -2\/47. What is the nearest to l in -1, -2\/21, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 41\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -1101000110?\nAnswer: -1100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l - 1. Let p be j(-3). Which is the nearest to p? (a) 3\/2 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 + 1170*o**5 - 114*o**5 - 44 + (o**5 + o**5 + 2*o**5)*(2 - 4 + 1) - 2*o**5 - o**5 + o**5.\nAnswer: 1050*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, i: 5, s: 1, r: 3, t: 5}. Give prob of sequence isir.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + b = 3*h - 4, -5*b - h - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - ((-64)\/7)\/(-4). Is (6\/l)\/((-5)\/1745) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -550 + 890. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -40. What is the units digit of h*(0 + (-4 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 26*k - 1. Suppose -5*z - 17 - 38 = 0. Let s(u) = -78*u + 3. Let r(m) = z*i(m) - 4*s(m). What is the derivative of r(l) wrt l?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3\/2 + 1563*t**2\/2 + 3108*t + 3102 = 0. What is t?\nAnswer: -517, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*a - 146*a + 610 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert c97 (base 16) to base 11.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 3*y + 2*y)*(2 + 0 - 1)*(-3 - 5 + 1)*(-12 + 7 + 4) in the form u*y + o and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.49488ng in grams?\nAnswer: 0.00000002649488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*r, 2*c + 5*r - 23 = 0. Suppose -5*f + 49 = -3*v, v + c - 1 = 0. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(6048) - (sqrt(6048) - (3*sqrt(6048) - sqrt(6048)))))\/(-5*-2*sqrt(30)\/sqrt(5)).\nAnswer: 36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*d**2*f**3 + d**2*f - 2*d*f**2 + 43*d*f - 2*f**4 + 4 wrt f?\nAnswer: -348*d**2*f - 4*d - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 950\/19803 + -1\/2829. Let y(m) be the first derivative of g*m**6 + 0*m**2 - 32\/21*m**3 - 2\/7*m**4 + 32\/7*m - 27 + 6\/35*m**5. Factor y(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 1. Let a be x(1). Let n be (-5)\/10 - 10\/4. Let q = n - -5. Solve a*b = -q*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvv when three letters picked without replacement from vvvnvvvvvvvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/303724 and 3\/8.\nAnswer: 607448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1761588*q**3 - 304654*q**2 - 6 wrt q.\nAnswer: 10569528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + -5 + sqrt(50)\/(sqrt(20)\/sqrt(2)))**2 + 2 - ((sqrt(500) + 1*sqrt(500))**2 - (sqrt(20) + -5)**2).\nAnswer: -1908 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 6 = a, 0 = -6*a - 563 + 503 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/4)\/(((-1323)\/129934)\/(-3)). Let x = -1105 - n. Find the common denominator of 19\/28 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -66, -51, -34, -15, 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 86112*h**2 + 516591*h + 774846.\nAnswer: 3*(h + 3)**2*(h + 28698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -24*x**3 - 2*x**2 + x + 2. Calculate the remainder when 70 is divided by z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37594469 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, 10173, 3\/2 in increasing order.\nAnswer: -2\/9, 3\/2, 4, 10173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7249*o + 6324*o + 37925 = 0 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*(-1)\/4. Let t = -13 - -12.8. What is the nearest to t in -0.5, -1\/11, h?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 - 8*a**3 + 32*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l. Suppose 2*x - 3*t - 27 = l, 0 = t - 3 + 2. Suppose 4*h + h = 20. Solve -2 + 5 = -h*u + c, 5*u - 5*c - x = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*6\/(-4). Let l(p) be the third derivative of -p**2 - 2\/3*p**3 + 1\/60*p**5 + 0*p + 1\/6*p**4 + 0. Let i(c) = c - 1. What is w*l(m) + 4*i(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6880, -13696, -20512?\nAnswer: -27328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 1035*r + 5179. Determine k(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10936536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/24 - 10*u**3 + 41*u**2\/2 - 16. Let l(v) be the second derivative of q(v). Differentiate l(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 24*f - 24. Let i be c(13). Let o = -25 - -52. Determine u so that 52*u**i + 6*u**3 - o*u + 16 - u - 28*u - 13*u**4 - 5*u**4 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12230*m - 12231*m + 6 = -4*s, -5*s - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7522\/33363 - -12\/3707. Let l = -2 - -1.7. Which is the third biggest value? (a) l (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55860)\/9 - 3)\/((-19)\/57) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*i = -4*h, 5*i = -5*h + 10. Let v be (-40)\/(-42) + 2\/(-7). Find g such that -v + 4\/3*g**2 - 2\/3*g**h + 0*g + 0*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 7269.\nAnswer: -1453.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 14*y = 28. What is the second biggest value in y, 0.1, -14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 1. Factor 0*c**2 + 5*c**2 + d - 2*c - 4*c**2.\nAnswer: (c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.01. Let z = 201 + -202.99. Let l = z - j. What is the closest to l in -0.4, 4, 1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17242 + 40ba?\nAnswer: 1b32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 639481694 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.866703136 + -0.033296724. Let b = l - -0.9. What is b rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8389 = -4*u - 8449, 3*u - 17 + 77 = -0*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 + 764*f**2 - 29120*f - 735488 = 0.\nAnswer: -17, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -1\/24, 3, 0.54, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-18) + ((-39)\/7 - 2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3315228599?\nAnswer: 17, 53, 3679499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16*o = 14*o + 10, -2*i - o + 13 = 0. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*h - 3*g, 5*g = -3 - 7. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(12\/11)*s)\/(s**(3\/10)\/s) assuming s is positive.\nAnswer: s**(307\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-417)\/834)\/(22\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 52, 131, 246, 397?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181821299.\nAnswer: 3, 19, 89, 232963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/5 - 511*s**4\/5 + 42416*s**3\/5 + 86884*s**2\/5 = 0.\nAnswer: -2, 0, 107, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -2824, -6329, -11242, -17563, -25292, -34429?\nAnswer: -44974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + 2*c - 13. What is d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2645*k**2 + 2638*k**2 - 7922*k**2 + 2642*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10\/4 + (-6)\/(-12) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foso when four letters picked without replacement from {v: 2, s: 3, f: 3, o: 10}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 3, v: 6, u: 1, z: 3}. Give prob of picking 1 v and 1 z.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fln. What is prob of sequence nl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 1. Give y(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let q = 1.73 - -7.97. Let o = 9.3 - q. Sort l, o, -0.2 in descending order.\nAnswer: l, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6 and 19\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6424577, -6424568, -6424559?\n\"Answer: 9*k - 6424586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-44))\/8*((-847)\/14)\/(-11)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 6*u - 66. Let h be i(-5). Suppose -15*q + 4 = 4*y - h*q, 0 = -5*y + 3*q + 22. Solve 0 = r + 3*v - 5, 4*r - y*v - 2*v = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-46 - -26) + 3 + (-2 - (6 + 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*d + 237*d - 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 8860*g.\nAnswer: -2*g*(g - 4430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0\/(-2)) + 5. Suppose -16 = 144*u - 148*u. Let l be u\/(-16) - 13\/(-4). Put l, d, -4 in decreasing order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1079, 7161, 23567, 55427, 107871?\n\"Answer: 855*v**3 + 32*v**2 + v + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 16*n**3\/3 - 4. Let s(p) = -73276*p + 36638*p + 36635*p. Determine i(s(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -3. Let k(d) = 2*d**3 - d + 1. Let h be k(g). What is the derivative of 0*x - 6*x**2 + 0*x - 9 - x**h wrt x?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 + -1) - -2) + (-17 + -10 - -37).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y - 1. Determine g(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n**2 + 106*n + 15. What is q(7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 108*q.\nAnswer: 2*q*(q - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -895, -1452, -2051, -2692, -3375, -4100?\n\"Answer: -21*m**2 - 494*m - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 - 60*w**3 - 526*w**2 - 1092*w = 0?\nAnswer: -14, -13, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**4 - 4*b**2 + 6. Suppose 3*a - 7 = -4. Let h(w) = w**2 - 1. Let q(t) = a*s(t) + 6*h(t). Find the third derivative of q(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s + 2168 = 62*s. What is the lowest common multiple of s and 8?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1008 + 3?\nAnswer: 100b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) + ((-4)\/(-7))\/((-2020)\/37875)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 29, -1, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) + (-124)\/9. Let v = r + 14. Let p be v - (7 + (-3 - 1)). Put -1, p, 1 in descending order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*w + 3 = 5*m, -2*m + 4*w - 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 2*y + 0*y)*(-4 - 1 + 1) + (2 - 4 + 4)*(-2*y + 4*y - 4*y) - y + y + y to r + a*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) - (92145\/(-9918) + 7). Let r = f - 48\/19. Is r at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*g*j**4 - g*j**3 - 3*g*j**2 - 6*j**3 + 117*j**2 + 2*j wrt j?\nAnswer: -1968*g*j - 6*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(8\/((-28)\/(-7))). Let r be o\/(-6 - 0 - -5). Which is the second biggest value? (a) 0.4 (b) -1\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n = -54*n + 6*f + 46, -f = 4*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 26*y**2 + 20*y + 23. List the prime factors of k(-25).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32302 divided by 893\nAnswer: 32302\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684 + 8*v + 418 + 269.\nAnswer: 8*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 - -9) - (2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-213)\/(-284))\/((-33)\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 - (-4464)\/20460\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 11*t - t**2 + 6 + 1 - 3. Let m be r(-13). Which is the nearest to -0.1? (a) -0.3 (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 + 20 + 2 + 15*z**2. Let j = 161798 + -161666. Let g(b) = -b**2 - 1. What is j*g(v) + 6*l(v)?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2086397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 6\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 - 2027*i - 11 - 11 + 31 + 1568*i.\nAnswer: -459*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 12. Let g = 0.0259 + 25.9741. Let u = g - o. What is the smallest value in u, -0.02, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533245 (base 9) in base 11?\nAnswer: -52a75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) -433 (b) -1 (c) 1\/4 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11*(-7 + 3 - -40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559 - -539. Let m = -766 + v. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*q**3*y + 8*q**2*y - 7*q**2 - 14*q*y - 5*y wrt q?\nAnswer: 66*q*y + 16*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqhhkiihidh. Give prob of sequence ki.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:17 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-1 - 3) + 2)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5))**(3\/22))**(1\/25)\/(((x\/(x\/x**2))\/x)\/x**(-7)*x\/x**(-3\/2)*x*x\/((x*(x\/x**3)\/x)\/x)*x) assuming x is positive.\nAnswer: x**(-45387\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 386 = 34. Calculate the least common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let o(c) = 7*c + 1. Let l(i) = o(i) - 2*z(i). Determine l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + m + 39, -2*q = -6*m + m - 43. Let j be (-11)\/13 - 22\/143. Let o(h) = -6*h + 5. What is the remainder when q is divided by o(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/5434 and -15\/76?\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {j: 6, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 + s + 38. Let m(d) = 9*d**2 + 296*d - 294*d + 11 - 10*d**2. Calculate the least common multiple of n(0) and m(0).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -182, -274?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919744 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - u + 1. Let b(r) = -8*r**3 + 8*r**2 + 5*r. What is b(x) + 4*d(x)?\nAnswer: -8*x**3 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -1. Let z be 7 + -3 + 1 + p. What is the second derivative of -4*g - 5*g - z*g**3 - 9*g + 4*g wrt g?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/(-16))\/(12\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5512304 divided by 8722\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507692 is divided by 1955.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8)*1)\/(3\/(-24)). What is the derivative of 34*p**4 - 26*p**4 + 64 + 71*p**d wrt p?\nAnswer: 316*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60500 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4218, -15171, -33410, -58935, -91746, -131843, -179226?\nAnswer: -233895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/30 (b) -3 (c) -0.294 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 83 + 477 = 0. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 - (-104)\/12. Suppose 4*h - 4 = -4*s, -2*h + s = -0*h - b. Solve -h - 7 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -0.1 (c) -3 (d) 0.04232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 1. Let x(r) = -5*r**2 + 3*r - 6. Let s(g) = -x(g) - 4*y(g). What are the prime factors of s(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345942.9 centuries in millennia?\nAnswer: 34594.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14247?\nAnswer: 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 4*n + 1. Calculate y(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 7*p - 5. Let y be l(-4). Sort 4, y, -5.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:14 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14052 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 36 = -3*u. Let x = -10 + u. Solve -o + 3 = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 7. Calculate y(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/1480, -50 in decreasing order.\nAnswer: -1\/1480, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37468548 and 9714068.\nAnswer: 262279836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10754 * -2\nAnswer: -21508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3*(-10)\/35 - ((-16956)\/63 - -9) and 8.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 2*a + 5. Let y be k(4). Suppose 5*t + 7 = -2*x + 3*x, -x + 2 = 0. Sort 2, y, t.\nAnswer: y, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -2\/11 (c) -133 (d) -1\/2 (e) -0.4 (f) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let u = 1733\/2 + -12135\/14. Let d = 14 + -10. Which is the closest to u? (a) -1 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(1\/3)*r*r**2)\/((r*r**(2\/15))\/(r\/(r**6\/r))) assuming r is positive.\nAnswer: r**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (1 - -16 - 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-532)\/4788)\/(2\/(-24)*-22)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 2, x: 2}. Give prob of sequence xox.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 178. Let i(u) = -2*u - 180. Calculate 3*i(w) + 4*x(w).\nAnswer: 2*w + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2077 (base 8) to base 7\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g + g**2 + (2*g + 0*g + 0*g + (3 - 5 + 3)*(7*g + 0*g - 2*g))*(570 - 61*g - 570).\nAnswer: -426*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 455 * -0.3.\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -8*o - 8. Suppose o*z - 10 = -0*z. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 7. Let m be (-10)\/(-7) + a\/21. Differentiate -m - 3*n + 4*n - n + 10*n**3 with respect to n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b - 189*b - 30*b)*(1 + 4 - 4)*(10 - 10 + 4*b).\nAnswer: -816*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express -30*d**4 + 15*d**4 - 2*d**2 + 16*d**4 + 2 - 4*d**2 as h*d**4 + q*d**3 + a*d + i*d**2 + n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8830.8 and 0.07.\nAnswer: -8830.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -30*t + 96. Let y(g) = 1. Let u(c) = n(c) + 2*y(c). What is the units digit of u(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c - 264684. Let l(h) = -h**2. What is u(l(w))?\nAnswer: 16*w**2 - 264684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1386 by -66.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5716977 is divided by 768?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19766709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18402556.\nAnswer: 2, 4600639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -9*t - 414. Let n be (1\/(-2)*13)\/((-3)\/t). Let u = n + 1052. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1497 and 12216.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o - 3*o + 272. Solve -2*w - 5*m - 28 = 0, -w - m - 2*m = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1236 = -4*k, 3*o - k = 6*o - 1889. What are the prime factors of o?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b. Let y(x) = 21*x. Give 15*f(k) + 4*y(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583 + -594. Let z be 12\/66*-23*u. Calculate the highest common divisor of 161 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 0.261, 138, -5, 2\/45 in decreasing order.\nAnswer: 138, 5, 0.261, 0.2, 2\/45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 13*v**2 - 24*v - 82. What is u(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -59*g - 213. Let q be y(-6). Calculate the highest common divisor of q and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1058, -1316, -1572, -1826, -2078, -2328?\n\"Answer: x**2 - 261*x - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 4*k. Let d be r(-4). Suppose 0 = -d*c + 3*c - 3. Let b(o) = -3*o**3 + o - 1. Calculate b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 38.1. Let k = -0.37 - 0.03. Which is the closest to z? (a) k (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8878800 divided by 181200?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 4. Let q be z(-3). Suppose -q = -2*f - 6. Let t = 21 + f. Calculate the remainder when 55 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936099, 1872203, 2808303, 3744399?\nAnswer: 4680491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45355 = 5*c - 5*k, -2510*k + 2505*k = 3*c - 27253. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 57*t**2 - 181*t - 3840. Give j(-59).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005421 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66, -131, -196, -261, -326, -391?\n\"Answer: -65*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*j - 11 + 14 - 3.\nAnswer: 87*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 19\/504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -374*u**2 - 3*u + 6. Let r(h) = -26553*h**2 - 212*h + 424. Calculate -3*r(z) + 212*v(z).\nAnswer: 371*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -505*f**5 - 15*f**3 - 3*f + 5562 wrt f?\nAnswer: -10100*f**3 - 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/32))**25)**(1\/4))**(1\/21) assuming t is positive.\nAnswer: t**(-25\/2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490 (base 10) to base 8.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrrh when four letters picked without replacement from {r: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363 + -5 - (-4)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62248956?\nAnswer: 2, 3, 7, 11, 67369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8746*p + 151. Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 + 3*m + 8. Is c(-5) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 + 2*g**2 + 2*g - 5. Let k(b) be the first derivative of -3*b**4\/2 - b**3 - b**2 + 5*b + 506. Give -2*k(v) - 3*l(v).\nAnswer: -3*v**3 - 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (30\/(-297)*3)\/((-44)\/99) and 41\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:33 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*h = -6, 5*j + 4*h + 303 = 262 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 2. Let b = i + 6.5. Let q = 1\/12 - -1\/4. Is b less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 39. What is the closest to a in 2\/3, -3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 657281.3 milligrams?\nAnswer: 0.6572813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 + 16 + 3*1. Let r(x) = 35*x + 146. Let f(q) = 36*q + 146. Let z(y) = h*r(y) - 4*f(y). What is the derivative of z(g) wrt g?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, w: 2, m: 1, r: 4, h: 2, c: 9}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 718902 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: What is prob of sequence kwwk when four letters picked without replacement from wkkwwwwwwwwwkkwk?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 k when three letters picked without replacement from knkhkekhjhkhjsehhk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 - 4*x**3 - 15*x**2\/2 + 4*x + 8.\nAnswer: -(x - 1)*(x + 1)*(x + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(720) + ((0 + sqrt(720))*2 - sqrt(720)) + -1 + -5*sqrt(720))*5.\nAnswer: 25 + 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 605 - 393. Let w = g + 26. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002310055 to 6 decimal places.\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3128 - 2768. Calculate the lowest common multiple of z and 15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**2*i*i)*i*((i**(-1\/4)\/i*i)\/i)\/i*i*(i\/i**(-1\/6))\/(i\/i**0))**37 assuming i is positive.\nAnswer: i**(-1369\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttutuutttttttttt. Give prob of picking 1 u and 3 t.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66336 + -66327. Let g = 4.7 - 5. Which is the fourth smallest value? (a) g (b) -0.03 (c) o (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z**2 + 1 + 0*z**2 + 6*z**3 - z**2. Let q be t(1). Find the third derivative of 0*x**2 + 0*x**q + 2*x**6 + x**2 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 2)*(-3*y - 2*y**4 + 3*y) - 5*y**4 + 12*y**2 - 12*y**2.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 12*t = 4. Let b(f) = 7*f - 2*f**2 + 3*f**t - 3 + 11 - 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: How many minutes are there between 4:00 PM and 4:25 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 1579 = -4*x, -1559 = -4*x + u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u = 2227 + 749. What is the remainder when 106 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**3 - 6*l**2 + 3*l + 1. Calculate the least common multiple of 14 and n(-3).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -533*b**3 + 33*b**2 - 34882*b wrt b?\nAnswer: -3198*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 3\/6)*-40. Let r be (5 + -10)\/(3\/i). What is r rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25507, 46.\nAnswer: 4, 46, 25507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 663467 + -194938. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -147, -586, -1503, -3096, -5563?\n\"Answer: -33*k**3 - 41*k**2 - 85*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 62.5 (b) -3 (c) -5 (d) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19738\/5 + (-20)\/10)*20\/6.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 1. Let b(s) = 2*s**2 - 27*s + 30. Let m be 2\/20*-2 + 61\/5. Let h be b(m). Let q(a) = 5*a + 5. Give h*v(i) + q(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(252)*-2)**2.\nAnswer: 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d3a2 - 4?\nAnswer: -2d3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d + 6*d - 3*d + 12*d**4 - 2*d**4 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70189*o**4*u**2 + 10*o*u**2 + 4781*u**2 wrt o?\nAnswer: -842268*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -19*z**4\/12 + 11*z**3\/6 - 19*z. Find the second derivative of c(u) wrt u.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 21 = t, f - 101*t = -106*t - 153 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 110*b - 32*b - 13*b - 29*b - 11*b + 125. Calculate u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 12*y**2 + 10. Give f(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098 divided by 316604?\nAnswer: 1049\/158302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7799 and 61582322?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 460*u. Suppose 49*v = -230 + 1994. Let a(s) = -28*s - v*s + 65*s. Calculate a(c(f)).\nAnswer: 460*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -611, -1446, -2723, -4664, -7491?\n\"Answer: -37*g**3 + g**2 - 579*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1801*j**2 - 1432.\nAnswer: 3602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/((-15210)\/(-33800)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**2*s*v**2 + 51317*j**2*s - 2212383*j**2*v**3 + 2*j**2*v**2 + j**2*v - 3*j*s*v**3 - j*v**2 wrt v.\nAnswer: -13274298*j**2 - 18*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + v + 2. Calculate f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5)*(-1190)\/(-1428).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452999?\nAnswer: 17, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2189, -13, -3, 7 in increasing order.\nAnswer: -13, -3, 3, 7, 2189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479 + -457. Suppose 2*f = s + 4 + t, -4*f = s - 58. Solve 2*v + 4*q = -0*v + 10, 0 = -4*v - 5*q + f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 24 = -19*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640369 take away 2159?\nAnswer: 1638210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 at least as big as 995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 - n + 1568. Let a be v(0). Let p = a - 1107. Does 32 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 357 = -3*d, 340 - 106 = -2*d + 2*s. Let a = d + 118. Suppose 1\/3*n**2 + a + 1\/6*n = 0. What is n?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:26 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 6. Let j = -402 - -408. Determine g(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4)*-1)\/((-3)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*h + 2747 wrt h.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4))**(-43\/2)\/(c**4*c*c*c**(1\/9)))**32 assuming c is positive.\nAnswer: c**(23008\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 5*i - 5*d + 10, -449*d + 463*d = -5*i + 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/7, -0.021, 0.2, 1 in increasing order.\nAnswer: -0.021, 0.2, 4\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 82. List the prime factors of o\/((-42)\/558) + 0 + -4.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128247 and 0.3.\nAnswer: -38474.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c**3 + 6*c**2 + 69*c + 47. Let k be p(-7). Calculate the greatest common factor of 51 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + x - 585 + 121 + 155*x - x**2 + 68*x.\nAnswer: 4*(x - 2)*(x + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0, -21, -132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 + 1)*(j + 2*j - 2*j)*(42*j - 1408*j + 101*j) in the form w*j**2 + q*j + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -19. Let k(g) = 4*g**2 + 3*g. Let h be k(w). Let l = 8 + h. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - h + 2 - 17, 2*g + 27 = 3*h. Let u be -3 - g*1 - -2. Calculate the highest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25.3 and -0.4?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55200579 + -113216014. Let i = 58015440.9999979 + k. Let c = i - 6. Round c to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7620 + 198205\/26. Let a be ((-138)\/(-5))\/((-33)\/(-110)). Let b = a - 127\/2. What is the common denominator of b and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35765 + -16968. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471948331.\nAnswer: 1103, 427877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b8 (base 12) to base 5.\nAnswer: 122443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - 19. Let h = v - -125. Calculate the remainder when h is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/(-77))\/(-1))\/((-36)\/(-315)*10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(1900))*-1)**2.\nAnswer: -320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -5432551?\nAnswer: -5432552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-26)*5\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5. Let x = 253 + -344. What are the prime factors of -4 + 5 + (1 - s*x)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5732 + 8477. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -875.0849 + 875. What is d rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 4709 = 12*j - y, 4*j - 5*y - 4729 = 0. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497766 divided by -3.\nAnswer: -165922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:03 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -126 (b) 1\/4 (c) -1\/7 (d) -9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-95)*(330\/(-792))\/((-12)\/(-96))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -390299*h**2. Let n(x) = 2*x**2. Give q(n(p)).\nAnswer: -1561196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 5 - 3*g**3 + 4*g**3 - 6 + 3*g**2 - 2*g. Give l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 35. What are the prime factors of ((-18)\/i)\/((-4)\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -108. Let j = l - -112. Let o = j - 37. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -j + 33, 4*j + 3*m = 134 - 32. Calculate the lowest common multiple of 9 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 - b + 1. Let v be x(0). Let c be -794 - (-14 + 6 - -4). Let n = -792 - c. Sort n, -5, v in ascending order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 41*d = -5*f + 45, 4*f + 3*d - 30 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2575274 and -0.194?\nAnswer: 499603.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + 1. Suppose i = 9*w - 10*w. Let d be (-2 + (-18)\/(-5))\/((-22)\/(-55)). Put -3, w, d in ascending order.\nAnswer: -3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/290 and -17\/45.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4226*n**3 - 2397 wrt n.\nAnswer: 12678*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - ((-40)\/4 - -6). Calculate the remainder when (-1 - -16 - i)\/((-14)\/(-42)) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**14)\/o**(1\/2) assuming o is positive.\nAnswer: o**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-12)*(-6)\/4. Solve -4 = k*h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3474723.87 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108924*y + 4*y**3 + 11*y**3 + 2*y**2 + 108917*y to the form d*y + n*y**3 + v*y**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/((-4)\/(-18)). Suppose 4*w - g*w = 0. Suppose -1 = -s - w*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 35.37258.\nAnswer: -141.49032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m\/((m**(-3\/2)*m)\/m)*m))*(m**(-8)\/m)\/m*m)\/(m**2)**47)**(-3) assuming m is positive.\nAnswer: m**(591\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18671, 30899, 43127, 55355, 67583, 79811?\nAnswer: 92039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 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: Let k(g) be the third derivative of -g**6\/12 - 2*g**3\/3 - 7*g**2. What is the first derivative of k(f) wrt f?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*-4)\/sqrt(7)*-5.\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(13\/2)*(k*k**(-7))\/(k\/k**1*k)*((k**(1\/5))**(-33))**26 assuming k is positive.\nAnswer: k**(-7079\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*n + 8, -n + 2 = 2*u - 3*n. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*36\/100)\/(6\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.04 - -0.04. Let t = -49 - -51. What is the smallest value in j, -2, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4688 + 4688.1. Are c and -8816 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 14 = 4*c + 2, 8 = 2*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**5 + 848*q**4 - 34012*q**3 + 327488*q**2 + 1468688*q - 1763008 = 0.\nAnswer: -4, 1, 26, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*o = -400*o + 3*a - 33, 4*o - 2*a = -2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 177*t - 694. Give n(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let n(j) = j**2 + 213*j - 18. Determine a(n(f)).\nAnswer: 2*f**2 + 426*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 2 - 9\/12. Let l = 61 + -63. Sort 1\/2, 0, q, l in descending order.\nAnswer: 1\/2, q, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 10*u**2 + 860813*u**3.\nAnswer: 860813*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2. Let w(v) = -16368*v. Calculate w(r(j)).\nAnswer: 16368*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6156843 rounded to 2 decimal places?\nAnswer: 7.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**4 + 40*m**3 + 12*m**2.\nAnswer: 4*m**2*(m + 3)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqk. Give prob of sequence qk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 47*r**6\/120 + 22*r**3\/3 - 3*r**2. Find the first derivative of c(t) wrt t.\nAnswer: 141*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5115877, -10231787, -15347709, -20463649, -25579613, -30695607?\n\"Answer: -m**3 - 5115903*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*j + 86, -101 = -3*j + 2*n + 2*n. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 116*j**2\/3 - 238*j\/3 + 40.\nAnswer: 2*(j - 1)**2*(j + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-35)\/(-9))\/((-30)\/(-36))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-671)\/(-33) + 9 + -31?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202354 is divided by 511.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 32. Let c(x) = x**2 - 5*x + 2. Let r be c(5). Suppose 2*w - 2*v = -r*w - 12, 0 = -2*v + 4. What is the nearest to d in -3\/8, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b*f**3*p**4 - 74*b - 5*f**3*p**3 - 2*f**3*p**2 - 2*f**3 + 4*p**4 wrt p?\nAnswer: -168*b*f**3*p - 30*f**3 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 + -3.52. Let k = u - -5.02. Let t = k + 10. Which is the second smallest value? (a) t (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -1.3 (b) -0.4 (c) 0.2 (d) 0.07 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - -101. Suppose 0 = -5*j + 215 + 5. Let i = j + -4. What is the least common multiple of o and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3355, -3384, -3413, -3442, -3471?\nAnswer: -3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 950, -886, -5506, -12910, -23098, -36070?\n\"Answer: -1392*s**2 + 2340*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1839, 1809, 1767, 1707, 1623, 1509, 1359, 1167?\n\"Answer: -h**3 - 23*h + 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22115809 is divided by 11057901.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4)\/sqrt(2)) - 3*sqrt(234))\/(sqrt(100)\/sqrt(2) + sqrt(2) + sqrt(200) + sqrt(200) + (sqrt(200) - 1*sqrt(200))).\nAnswer: -4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 23 = -4*r, 3*r = -4*l + 1078 - 1060 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68 - -25) + 44)*(12 - 1)*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 24 = -4*l, 9*c - 8*c - 2*l = -18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7111*c - 2498. Let n(v) = 1422*v + 503. Let y(m) = 2*l(m) + 11*n(m). What is the derivative of y(a) wrt a?\nAnswer: 1420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 - 198*v**2 + 2654*v - 5460 = 0?\nAnswer: 5\/2, 21, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.2. Let v = n - -0.1. Let u = v + 0. Which is bigger: -0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/24 + 0\/(-3 - -1). Let k(g) = -601*g**2 + 2*g + 3. Let y be k(-1). Let w be 1\/(-8) + (-27)\/y. Which is the closest to -24? (a) z (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-1) + (61248 - (-19)\/((-38)\/12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 2, i: 9, v: 3}. What is prob of sequence vijv?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.379886 + -0.054473384.\nAnswer: 0.325412616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*a + 218*a + 210*a + 219*a - 873*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 7?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172772073 to the power of 1\/2, to the nearest integer?\nAnswer: 13144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:14 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 7 = -t - 0*r, -5*t - r - 14 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 0.5. Put -8, -1, t in descending order.\nAnswer: t, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 774353*p**6 + 791954*p**2.\nAnswer: 92922360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-4) + (-3)\/12)*153254\/19.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 - ((-70)\/5 + 7). Let z(i) = -9*i**3 + 6*i**2 - 5*i - 6. Let c(r) = 10*r**3 - 7*r**2 + 4*r + 7. Give q*z(o) - 6*c(o).\nAnswer: 3*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -4\/3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = g - 8*y - 36, -2*y = -2*g + 48. What is the derivative of 18 - 13*f**3 + 2 + g*f**3 + 4 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y**(-7))\/(y**(-2\/17)\/(y**(-1\/4)*y)))\/(((y\/(y*y**(2\/7))*y)\/y)**48\/((y*y**(1\/4))\/y)**(-30)) assuming y is positive.\nAnswer: y**(-835\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 121. Let i = -2 + t. Solve -i*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 257\/6?\nAnswer: 257\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -820609\/99890 + 6\/7135. Let i be 6 - 7 - -60 - 2. What is the common denominator of (-2)\/(-40)*((14 - 8) + i) and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994026.\nAnswer: 2, 7, 213859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.1922.\nAnswer: -0.013454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 - 420. What is the remainder when 68 is divided by (x\/33 - 4\/(-6)) + 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93125 divided by -18625\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 + 2*o - 6. Let q be i(-6). Let v = -13 + q. Find the third derivative of 3*y**5 - 5*y**v - 34*y**2 + 37*y**2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n - 4. Suppose -998*k + 708*k + 1740 = 0. Let a(j) = j + 1. Give k*a(p) - d(p).\nAnswer: -2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 35 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*l + 16, -3*r + 17 = 2*l + 1. Suppose 5*p + 20 = -m, r*p + 3*m + 3 + 2 = 0. Put p, -1, 0 in ascending order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2857.5 + 2857.5. Let k = -115.713 - 0.287. Do k and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79\/46 - 5\/23. What is the fourth smallest value in x, -10, -4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/6 - z. Let u(a) be the first derivative of 0*a**2 + 3 - 2\/3*a**3 + 0*a. Determine b(u(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -243901746*m + 81162572 wrt m.\nAnswer: -243901746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34394385 is divided by 2212.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 256. Suppose -5 - 4 = -4*m - 5*s, s - 27 = -5*m. Solve 15 = -f*x + 5*c, -c - 3 = 5*x + m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*s + 2*s - 14, -x = -5*s + 18. Let d(h) = h**2 - 3*h + 1. Let p be d(4). Sort s, p, 1 in decreasing order.\nAnswer: p, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156181599437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t + 2 - 7 + 69*t - 48*t + 5.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -270881 divided by -6?\nAnswer: 270881\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 - 375*f**2\/8 + 321*f\/4 + 23 = 0. Calculate f.\nAnswer: -1\/4, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**(1\/49)\/(y**(2\/5)*y**(-16)) assuming y is positive.\nAnswer: y**(3847\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**3 - 32*a**2 - a. Let s be j(-4). Let z(b) be the second derivative of -b**5\/20 + b**4\/4 + b**2\/2 - b. Determine z(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -37*q + 228. Let t be p(6). Let i(v) = 0 - 2 + 4*v**2 - 6*v + 0. Calculate the remainder when i(t) is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6074 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-51))\/((-6)\/75). Which is smaller: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59751 by -2.\nAnswer: 59751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345603 is divided by 6507.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.62314 rounded to 2 decimal places?\nAnswer: 15.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = i. Let q(u) = 5*u**3 - u**2 + u + 1. Let m be q(-1). Let t be m - (-2 - i) - 0. Let l(z) = z**2 + 5*z - 1. Give l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222624 by 4.\nAnswer: 55656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186130 + 82999. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136631959.\nAnswer: 136631959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/(-880) - (-2)\/(-22))*(-55)\/264?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10323 + -3233?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172338696713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 865286570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 0*b + b**2 + (-b - 3*b + 2*b)*(-3895*b + 1584*b + 1933*b) to x*b**2 + p*b + j and give x.\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-9 - 1 + 5) + 5 - 4 - 2)*(86 - 86 + 30*h - 4*h - 3*h + 4*h + (-3 - 1 + 3)*(5*h + h - 4*h) - h + 0*h + 2*h).\nAnswer: -156*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r\/(r*r*r**(2\/7))*r\/r**(-2\/21)*r**5)\/(((r*r**(-1\/4))\/r)\/(r*(r*(r*r**(-3)\/r)\/r)\/r))**6 assuming r is positive.\nAnswer: r**(-961\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**3))**(-3\/7)*(p**(-1)\/p)\/(p*p**(-10)) assuming p is positive.\nAnswer: p**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m - 5. Calculate the remainder when 8 is divided by o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 49016?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5810*v - 5817*v + 18492*v - 6250*v.\nAnswer: 615*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*c - 765, -25*h - 4*c + 514 = -23*h. Solve 251 - h = 6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/f*f**(-2\/35))**(2\/85)*((f\/f**0)\/(f*f\/(f*f**(-5))))\/(f*f\/(f**(-1)*f))**(5\/6) assuming f is positive.\nAnswer: f**(-60982\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:34 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.116093 and 7.\nAnswer: 0.812651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 2*t. Let w(n) = n. Let o = -5 + 1. Give o*w(d) - x(d).\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/60*-298 + (1964 - 1988).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126036.53 rounded to the nearest 100?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-295) + (-248)\/140 + 1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219711 or -219732?\nAnswer: -219732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -577531, -1154984, -1732437?\n\"Answer: -577453*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 5*f**2 - 5*f - 2. What is d(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.05 = 2\/3145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1387 * -104\nAnswer: -144248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 15816*f**2 - 158318*f - 332556 = 0. What is f?\nAnswer: -7, -3, 7918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*-2*3*(-3)\/(-72).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4567*c - 4571*c - 40 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**6 + 0 + 0*w**7 + 3*w - 3\/56*w**8 + 0*w**3 + 0*w**2 + 0*w**5 + 1\/6*w**4. Find the third derivative of x(b) wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4527)\/78468*13\/6\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 47 = -5*k + 5*f, 3*f = 4*k - 41. Suppose k*u + 185170 = 18*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (746 - 852 + 3947)*(2*v - 1 + 1)*(4 + 0 - 6) in the form l + k*v and give k.\nAnswer: -15364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/4*(-8)\/(-4)*7. Let s = 206 - y. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161714249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 1381406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 12. Let w be 12\/(5 - (2 - -1)). What is the tens digit of l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlh when three letters picked without replacement from lllllhlllllhhlll.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*o + 22 = 0, -5*q - 2*o - 85 = -6*o + 63 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1 + 2*p + 2*p - 2 + p**2 - 7*p. Let g = -3 + 5. Let x be n(g). Put 4, 3, x in increasing order.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 79. Calculate j(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3289296 and 204.\nAnswer: 3289296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 373 - 488. Suppose 3*k = -5*o + 2*k - 299, k = 2*o + 114. Let j = o - y. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -181601, -726822, -1635533, -2907734?\n\"Answer: -181745*n**2 + 14*n + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -0*j. Let f be 7\/3*(1 + -4). Let q = j + f. Are q and -3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062 and 0.14?\nAnswer: 0.00868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15*q. Let n be j(-1). Let f = n + 32. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15994\/9 or 2\/133?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huht when four letters picked without replacement from htwuwwththwhwtt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -2430?\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)\/g**1)\/(g**(1\/2)*g**(3\/13)))**(15\/7) assuming g is positive.\nAnswer: g**(-4575\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*r**2 - 25*r**2 - 6*r**2 + (-7*r + 3*r + 2*r)*(-r - r + 0*r) - 2*r**2 + 0 + 0 + 2*r**2 + 0*r**2 - 3*r**2 + 4*r**2 - 9*r + 9*r - 2 + r**2 + 2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.5 - 1.5. Let n = p + 8. Let h = -1.8 - -2. Which is the nearest to n? (a) h (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.021 - -0.291. Let r = -0.03 - x. Let w = r - -0.299996. What is w rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f - 4*f - 10*f.\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 divided by -1897?\nAnswer: 49\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-80)\/(-48) - (-1306)\/390*3.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ouuueeuuf.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408182*d**5 - 94214*d.\nAnswer: -8163640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 452620757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let q be (-7)\/w*(2 + 0). Calculate the highest common factor of q and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/7)*q)**(-2\/33)\/(q**(-6\/7)*q*q**20) assuming q is positive.\nAnswer: q**(-4679\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 7*d**2 + 7*d + 7. Suppose -5*c + 126 + 4 = 0. Let a(s) = c*s + s**2 - 11*s + 1 - 14*s. What is -21*a(p) + 3*t(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -35*y + 49. Let c(t) = -3*t + 4. Let b(k) = -49*c(k) + 4*w(k). Let g(s) be the second derivative of 7*s**4\/6 - 5*s - 1. Determine b(g(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (88\/(-40) - -2)*-20. What is the highest common divisor of 32 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -2))*6)*-6 + 2 + -1 + (sqrt(1539) - (3 + sqrt(1539) + 1)) + -1))**2.\nAnswer: 32832*sqrt(19) + 244720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -15, 8, -8147.\nAnswer: -8147, -15, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*h + 8*h - 2*f, 4*h - 1 = -f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*k + 1328, 0*h - 3*k = -2*h + 661. Let f = h + -216. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*m**4 - 2094*m**2 + 1051*m**2 + 1047*m**2 - 332 - 31 wrt m.\nAnswer: 88*m**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 26*n + 52. Let c be v(-23). Are -19 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 - 2*x + 1. Let t be y(1). Suppose t*o - 1539 = -3*a + 2*o, 4*a = 3*o + 2045. 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 (-4)\/(80\/12)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 15. Let k be 2\/(3 - 38\/14). Suppose k*y - 4*y + 17 = -5*i, 5*y - 9 = i. Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1, 0.6, -0.12449 in decreasing order.\nAnswer: 2, 0.6, -0.12449, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1795485 and 40.\nAnswer: 14363880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + c + 85 = 2*s, -3*c - 4*c + 87 = -2*s - 6*c for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 + p**3 - 2*p**2 - 8*p. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-9 - -5) + 0 + 13 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 bigger than -39586\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 1. Let u be g(-2). Suppose 46 = 4*l + u*w + 15, 2*l - 17 = -w. Suppose j = l + 1. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j - 5. Suppose -5*a = -2*k + 25 + 2, -3*k + 3 = 5*a. Let f(g) = -g**2 + 2*g + 4. Give a*f(o) - 2*p(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 30 = -3*u, 3*u + 13 = 3*o + 40 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1307476 (base 8) to base 5\nAnswer: -43124400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*m**3 - 56*m**3 - 60*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w**2 - 3*w**2 - 3*w**2)*(0 - 10 + 4) + 7*w + 5*w**2 - 7*w + 6*w**2 + 43*w**2 + 3*w**2 as k*w + u*w**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/3 + 17*r. Let d(h) = -8*h**2. What is o(d(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/130 and 193\/3990?\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618478?\nAnswer: 2, 809239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 0.0733.\nAnswer: -2.9267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1738547.685s to weeks.\nAnswer: 2.8745828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -281584, -281600, -281616?\n\"Answer: -16*m - 281568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830396?\nAnswer: 2, 157, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:41 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(2*d + 3 - 3) + (-53*d + 18*d + 12*d)*(-2 + 4 + 0))*(9 + 3 - 7)*(2 - 6 + 0 + (-4 - 4 + 6)*(1 - 1 + 1)).\nAnswer: 1500*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-69 + 68)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -118009.9 rounded to the nearest one thousand?\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*b + 342*b - 25 + 22*b**2 + 19*b**2 + 5*b**2 to the form v + g*b**2 + d*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/8 + -2)\/(657\/292). Which is smaller: o or 14\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -4. Let l = r - -8. Which is the second smallest value? (a) l (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times -3993\nAnswer: 24357.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 9 - (-2)\/(-2). Suppose -2*g + 2*c = -w - 7, 4*c = 3*g - 20. Suppose -4*x + 5*j = -158, 5*x - 3*x - 82 = g*j. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*x - 50*x + 40. Suppose 4*b = -2*y + 322, 2*b + 75 = 3*b - 5*y. Calculate the highest common divisor of b and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 37097.\nAnswer: 3\/37097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1162 and 213.\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -2\/7 (b) 0.2 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536872 (base 9) in base 3?\nAnswer: -1121020222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185130 and 9180?\nAnswer: 1110780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28961872, -57923740, -86885608?\n\"Answer: -28961868*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 21*q**2 - 22*q + 2. Let k be g(22). Solve 3*v = 5*b - 16, -3*v + k = b + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:53 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 10 = -3*c. Suppose c*o + 7 = 6*o. Is 2\/o + 10359\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*u - 10 - 1 + 12 - 109*u - 8 to the form m*u + i and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22154010, -44308023, -66462036, -88616049?\n\"Answer: -22154013*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18139864 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (2 - -4) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 1748?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -81983 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7277 - 7283.199. Let t = -5 - p. What is t rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-1 - 2 + 2)*(r + 0 + 0) + (-2*r + r - r)*(-2 + 13 + 2) - 4*r - r + 2*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/22*(18\/81)\/(60\/(-1))?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/((-5)\/(80\/12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -440 - -439.9558. Round v to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -14.8. Let z = -1.2 + t. Does z = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 5*f - 350, b - 140 = -2*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 19, k: 1}. Give prob of picking 1 k and 2 x.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249222 and 69418.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -75738.\nAnswer: -2\/37869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381254263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t + 5. Let s be x(-6). Let m(w) = -3*w. Let g be m(s). Suppose 8 = -r - g*r. Let z(n) = -2*n - 3. Determine z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18303220*4.\nAnswer: 73212880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p - 14. Let l be w(7). Suppose 0 = -c - l*c - 30. Let h = c - -51. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from rtrrcrcrccrrrcwr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14134669.\nAnswer: 14134669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -163*k**4\/3 - 20377*k**3\/3 + 325261*k**2\/3 + 1159501*k\/3 + 4726 = 0. Calculate k.\nAnswer: -139, -3, -2\/163, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -66*k - 1035. Which is the fourth smallest value? (a) -0.4 (b) k (c) 1\/3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a + 64*a = 46*a + 3080 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 10 + 2*t - 10 - 3*t. Let n(q) = -q**2 + q + 1. Let p(x) = 10*x**2 - 5*x - 8. Let y(i) = -6*n(i) - p(i). Give -3*a(u) + y(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 88*g + 21. Let i be q(9). Suppose -13*r + 370 = -i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6341.\nAnswer: 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39688 and 44644039?\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*r + 2*r + 0*r)*(2 - 1 - 3) - 35*r - 35*r + 75*r)*(-25*r**2 - 189 + 189) as o*r**2 + t + p*r**3 + d*r and give p.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431530 (base 10) to base 8.\nAnswer: 20717252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*h - 17, -2 + 1 = f + h. Suppose -2*n + f*s + 2 = 3, 4*n = -2*s + 38. What is the lowest common multiple of 6 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -48. Let q = 42 - t. What is the biggest value in 1, 1\/2, q, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s - 30. What is the remainder when 59 is divided by 3\/1 - (s - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b8f4 + 4a5?\nAnswer: -2b44f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 + 734*b**3 + 5*b**2 + 9232*b + 2 wrt b.\nAnswer: -24*b**2 + 4404*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -b?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -595.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 92420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 109.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 454685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28)*16\/(-3 - 1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d + 8. Let m be r(-8). Suppose -4*i + n + 58 = -8*i, -2*n = -4*i - m. Is ((-42)\/i)\/(4\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3233172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 182*f - 958. Calculate the smallest common multiple of 6766 and o(-96).\nAnswer: 6766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.7041 * 19\nAnswer: 222.3779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779594 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 174 = -13*z. Solve 2*i + z = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90144 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 93532*h + 187048 = 0. What is h?\nAnswer: -23381, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 29 + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-18)\/13956) - -8. Let o = y - 784. What is the fourth biggest value in o, 2\/7, 0, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 17 = -20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + k, -4*k - 1 = -4*p + 23. Let u be -1*(3 - p) - (-96 - 5). Let v be (-4)\/(-24) + 59\/6. Calculate the highest common divisor of v and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 64548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0516 - -0.6686. Let s = n - 0.617. Sort 2\/13, 0.1, s, -2\/11 in decreasing order.\nAnswer: 2\/13, 0.1, s, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*r + 28, 27*r = 5*b + 32*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*k + 11 = 0, -4*i - 4*k - 16 = -28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - 4) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4634132135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 + 509*d - 461*d + d**3.\nAnswer: -12*d**3 + 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -2. Suppose -2*k = q*k - 20. Suppose -63*t = 242 - 872. Solve -o - 14 = k*z - 2*z, -z - t = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 + -58 - (0 + 4)) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001011101011 + -10?\nAnswer: -10110001011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -381, -400, -417, -426?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3051.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5\/5 - 18*n**4\/5 + 28*n**3\/5 - 18*n**2\/5 + 4*n\/5 = 0 for n.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2688652.2*0.1.\nAnswer: -268865.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -280\/19 at least as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36\/1949 - -119650\/64317. Let x = z - 28\/11. Let h = -2\/339 - -39\/226. What is the biggest value in h, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -2*m**3\/3 - 33*m**2\/2 + 3*m. Let b(k) = 242*k**2 + 202*k**2 - 442*k**2. Give w(b(l)).\nAnswer: -8*l**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94519 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Suppose 15 = 2*g + 3*g. Let s(a) = a - 1. Let n(k) = g*z(k) + 4*s(k). Let p(t) = t. What is -2*n(o) + 3*p(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/6*2010\/(-9). Round x to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 149.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -20, -5, 0, -4, -3 in ascending order.\nAnswer: -20, -5, -4, -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359 - 102. Let r = j + -236. Which is the second smallest value? (a) -5 (b) r (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a + 4. Let v(m) = -m - 1. Let d(p) = -s(p) - 5*v(p). Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*w - 3*p - 56 = -269*w, 2*p = w - 9. Solve -w - 1 = -2*i - 5*m, 16 = 4*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + b - 1. Suppose -p = -49 + 11. Suppose 0 = -t + p - 31. What is the remainder when t is divided by h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2924*h**2 + h + 9234 wrt h?\nAnswer: -5848*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let b(n) = -8*n**2 + 3*n. Let i(z) = -b(z) + 6*h(z). Let a = -6 + 8. What is the units digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -2*v**2 - 1\/20*v**5 + 1\/120*v**6 + 0 + 1\/24*v**4 - 1\/6*v**3 + 0*v. Let o = -2 + 5. Give t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4 - (1 + -4)). Which is the closest to j? (a) -26 (b) -1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186 + 1304\/7. Suppose 0 - 16\/7*z - 12\/7*z**3 - n*z**4 - 24\/7*z**2 = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -91. Let r = 45 - i. Suppose -20 = r*b - 146. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 10*u**2 + 10*u + 16. Let i be x(11). Let n be i\/2 - (8 + -6). Which is the nearest to -0.2? (a) -2\/5 (b) 0.01 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 0*p**3 - 2*p**3)*(2*p - 3 + 3)*(3*p - 2*p + 0*p + 2*p - 2 + 2 + p - 3 + 3 + (1 + 3 - 6)*(-7*p + 4*p + p) - p + 26*p - 2*p).\nAnswer: 124*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 110707304*a - 766006697434276 = 0. What is a?\nAnswer: 13838413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 140. Which is the biggest value? (a) 1\/5 (b) -8 (c) j (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u + 26. Let w be k(-2). Let m be 4\/(-6)*(-189)\/14. Suppose w = -5*p + 1 + m. Calculate the lowest common multiple of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 divided by 4?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose 3 = 2*y + 1. Calculate the remainder when (2\/f)\/((-3)\/(-6)) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 526*t**2 + 9*t. Let v(n) = 4*n**3 - 1051*n**2 + 22*n. Determine 5*c(b) - 2*v(b).\nAnswer: 2*b**3 - 528*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 17*z - 32. Let s(o) = o**2 + 8*o + 16. Let x(i) = -2*c(i) - 5*s(i). Let u be x(8). Solve 0 = -u*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3, -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482, 478, 474, 470, 466?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = -l - 4*l, -50 = -4*z + 2*l. Let y = -7 + z. Solve 0 = y*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -2, -12, -28, -50, -78, -112?\n\"Answer: -3*m**2 + 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 3 - 4*g**2 + 1.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 74 = -9*m. What is the third derivative of -33*d**2 + 14*d**2 - 170*d**3 - 70 + 21*d**m - 31*d**3 wrt d?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 58*k + 315. What is the least common multiple of 252 and u(0)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2 - 106760*g - 1424712200 = 0.\nAnswer: -26690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1287656 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 - ((15 - (0 + 1)) + (-41 - (-64 + 30)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1024074 + -5?\nAnswer: 1024067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 4, j: 2}. What is prob of sequence kkd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 15*a**2 - 15*a - 15. Suppose 2*j + 5*c = 12, 39*c - 36*c = -12. Determine u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19542952 + -37832952. What is c rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -140.23. Let l = 42.77 - q. Let r = -42 + l. What is the closest to 2\/3 in -2\/13, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 3. Let n(b) = 6*b**2 - 8*b - 8. Let x(l) = -3*n(l) + 8*z(l). Suppose -m + 0*m + 3 = 0. Let i(h) = -m*h + 3*h - 2*h. Calculate x(i(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944087184 by -1.\nAnswer: 944087184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*i - 12, 2*j - 2*i = -4*i + 8. Let m be (3\/6)\/((-2)\/(-4)). Let g = 1 + m. What is the third smallest value in j, -4, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9900 - -9916. Calculate the smallest common multiple of g and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:57 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 4 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051752 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/99 - (-134)\/(-66))*(-22)\/(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zorf when four letters picked without replacement from foroorzffzffr?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 6*t. Let a be u(-6). Suppose -4*z + 2*c + 11 + 65 = 0, 2*c = -5*z + 104. Suppose 0 = -a*y - 2*y + z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 2, t: 4}. What is prob of sequence tuvu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220121002 - 12?\nAnswer: -100220121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1194 - 25*q + 25*q - 7*q**2 - 925 wrt q?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 6. Let m(g) = 2*g + 6. Let t(d) = -2*m(d) + 3*o(d). Suppose -y - 4*y = 30. What is t(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**(-8)*v))\/v*v**(1\/23))\/((v\/(v*v*v\/(v*v**(1\/4))))\/v**(-12)))**(-50) assuming v is positive.\nAnswer: v**(7375\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -1 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 31*d + 8. Determine p(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015 is divided by 168?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*k**2 + 775*k + 5 = 0 for k.\nAnswer: -1\/156, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 19 = -7*l, 16*d - 19*d + 4*l = -23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 36*g + 29 = 40*g, -4*l + 26 = 5*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 39. What is d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 32588 = -11*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2230890, 4461798, 6692704, 8923608?\nAnswer: 11154510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, 2833, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, -11, -48.\nAnswer: -48, -11, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let o be 5 + (8\/4 - 5). Let b(c) = 4*c**2 - c**o - 10*c**2. Give m(b(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 16 = -4*g. Let f be 16\/(-30) + (-2)\/(-10). Let d = 0 + -0.2. Which is the closest to f? (a) g (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 1262*p**2 + 1257*p**2 - 5*p**3 + (-2*p**2 - 4*p**2 + 4*p**2)*(4*p - 2*p + 0*p).\nAnswer: -13*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-1)\/(-1) + 1. Let w = c + -2. Suppose w*s + 2*s = 6. Solve j + s = -h + 5, 3*j - 4*h = -29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6031 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.4, -1\/3, 0.3, 2.7, 5\/14, 0.002?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121100 + 2?\nAnswer: -121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 + o + 1 + 3 + 1. Let k be w(0). Suppose -k*p - 2*h + 24 = 0, -4*p - p + 21 = -2*h. Solve -2*b - 2*b = p*z - 7, 4*b - 17 = 5*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2736) - (-2 + (sqrt(95)\/sqrt(5))**2)) + -5 + -1*sqrt(931)*5 + ((2*sqrt(171))**2 - -1*sqrt(931)).\nAnswer: -64*sqrt(19) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728023709?\nAnswer: 7, 104003387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1432.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 198 = 187. What is the second smallest value in x, -2\/49, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2\/2 - 4. Let h(v) = -8*v + 5. Let k(m) = -h(m) - 5*u(m). Differentiate k(n) with respect to n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 + 5 - -2) + (-27 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 136.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/45279856 and -55\/8?\nAnswer: 45279856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/2 + -1 + 1. Let j(b) = -b**2 + 10*b + 5. Let s be j(p). Let i(y) = -y**3 + 5*y**2 + 3*y. What is the remainder when i(s) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.791 - 1684845.\nAnswer: -1684866.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -13369863.\nAnswer: 1\/1028451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.016? (a) -3 (b) -2 (c) -4 (d) -22753 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*-5)\/(5\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/542 in -803, 19, 1\/5, -2\/7, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -71, -66, -61, -56?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8cdda6 (base 15) to base 12\nAnswer: 2306440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k - 1 + 1)*(-5 + 5 + k) + 0*k + 0*k - 2*k**2)*(-2*k - 4*k - 22*k).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3 - 48*p**2 - 36*p.\nAnswer: 3*p*(p - 6)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26946, 36202, 45458?\nAnswer: 54714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = -u. Suppose -u = 3*o - 18. Suppose -3*c = 2*z - 37, -z + 9*c = o*c - 38. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*170\/272*-40.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3190*0.5.\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**21*b*b)\/(b*b\/(((b*b\/b**22)\/b)\/b)*b) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -2769 (c) 5 (d) 17 (e) 0.1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/25, 1, 25, 1\/2 in increasing order.\nAnswer: 2\/25, 1\/3, 1\/2, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-14)\/(-6)) + 2. Let y = -14\/15 - l. Which is the closest to -1\/3? (a) y (b) 3 (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3*n + 3. Let b be a(3). Suppose -5 = -5*q, -4*q + b = -4*v + 15. Suppose v*y - 12 - 19 = -i, -2*i = -3*y - 18. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/10 + 4*t**4\/3 - 5*t**3\/3 - 14*t**2 - 32*t - 3. Factor h(v).\nAnswer: -2*(v - 7)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let a = -0.4 - -0.2. What is the biggest value in a, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4402 or 4400?\nAnswer: 4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -182. Suppose 15 + 6 = 3*j. Let u be 4\/j + 30\/(-7) + 4. Which is the closest to -2\/11? (a) 17 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) -0.3 (c) -1\/2 (d) -2\/15 (e) 32\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -374 - -574. Calculate the greatest common divisor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877721645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 48 + 331*i**2 - 21.\nAnswer: 331*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00457662 to five dps.\nAnswer: 0.00458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/12)\/(2\/(-12)). What is the units digit of ((-6)\/w)\/(9\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3205298959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/5 - k**3\/5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, -3\/2, -2\/7, 5.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1070 or 1069?\nAnswer: 1070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0214 + 19.0506. What is o rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 372406352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 234 + 342. Suppose -3*d = -9*d + h. What is the highest common factor of 168 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 155766.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 7*i**3 - 2*i**2 + 12*i + 8 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1208514 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.5, -3\/5, 22?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((-26 - -44) + (-13 + 0 - -3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*u**5 - 4316*u**4 + 4316*u**4)*(12 + 8 + 18) + 2*u**5 - u**5 - 3*u**5.\nAnswer: -4524*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118.931l in millilitres?\nAnswer: 3118931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3095 = 26*f - 441. What is the greatest common factor of 34 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*y, 3*l - y - 3*y + 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12400 and 1551240?\nAnswer: 15512400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 69 - 71 = 0, 0 = 4*f - 2*o. Sort -3, 337, 0, f in decreasing order.\nAnswer: 337, 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 6*w + 23. Let x be f(9). Let i be (-21)\/(-6) - (x + 36\/8). Suppose 4*m - 1279 = 2*m + i*d, 1284 = 2*m + 2*d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22 + 4*f - 4*f - 2*f**4 - 8*f**4 with respect to f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12683545 to the power of 1\/2, to the nearest integer?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 2*h**2 + 2*h - 7. Determine i(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 40*h - 11*h + 17*h.\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 1043 + 143. Let r(n) = 96*n + q*n - 184*n - 6. Calculate r(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, t: 7}. Give prob of picking 1 t and 1 y.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d + 4. Let z be v(0). Suppose s + 4*a + a = 58, -166 = -4*s + 2*a. Let l = s - 43. Solve 1 = m - 3*w, m + l*w - z*w = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1 + (-20)\/(-18)). Let t = 6 - 6. Do t and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 34. Let i(b) = b**2 + 3. Let k be i(3). Let s(l) = -12*l + k*l + a*l**2. Let y(p) = 2*p**2. Calculate s(y(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/4 - 13683*t**2\/2 - 27369*t\/4 + 27367\/2 = 0.\nAnswer: -2, 1, 27367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4181, -16742, -37691, -67040, -104801, -150986, -205607?\n\"Answer: -2*l**3 - 4182*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycxyxw. What is prob of picking 1 c and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0)**15)**(-1\/55))**(3\/17) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 1.5.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10541 - 2?\nAnswer: -10543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16903785 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 11*j - 85 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102045 is divided by 163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 139*o**2 - 6*o + 7. Let t be p(3). What is the tens digit of t\/90 + 4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3191932 divided by 38926\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84838 + -22733. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieyiiooeoeeyeyeea. What is prob of sequence ie?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71057 is divided by 836?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -3*1076\/12. Let a = t - -1077\/4. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32434 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h**4 - 31*h**3 + 715*h**2 - 2297*h + 2174. Let y(d) = -44*d**4 - 72*d**3 + 1668*d**2 - 5360*d + 5072. Let a(q) = 16*c(q) - 7*y(q). Factor a(x).\nAnswer: 4*(x - 3)**2*(x - 2)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 34 (b) 2\/1103 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -53*f. Let x(w) = -5*w. What is x(o(j))?\nAnswer: 265*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-26)*((h**4*h)\/h)\/(h*h**(-2)\/h) assuming h is positive.\nAnswer: h**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 10*z + 36. Let l be a(-10). Suppose -3*d + d + 18 = 0. Calculate the highest common factor of l and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 271*b - 73441\/2.\nAnswer: -(b + 271)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 1. Let b be u(-2). Suppose -3*p = p + d + 302, 5*p + b*d = -370. Let j be 4\/18 - p\/(-18). Let n(k) = -k**2 - 6*k - 4. Calculate n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977 - 977.3. Sort 306, -5, y in descending order.\nAnswer: 306, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5724, -22794, -51212, -90984, -142116, -204614?\nAnswer: -278484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23172352 and 443128?\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 61542 + 15653 = -4*t, -t + 5*m - 19305 = 0. Round t to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7519751, -7519761, -7519785, -7519829, -7519899, -7520001?\nAnswer: -7520141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**2 - 3*g**2)*((0 - 2 + 0)*(2 + 2 - 3) + 3 - 1 - 3 + 17 - 20 + 71).\nAnswer: 130*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243245?\nAnswer: 5, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -104, -121, -144, -173, -208?\n\"Answer: -3*k**2 - 2*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 663 + 1517 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((6\/346)\/(-3)). Suppose -1416 = -5*l - 5*v + t, -1169 = -3*l + 5*v. Suppose -40 = 4*q - l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*t = -2*t - 22, 3*t = 4*w - 27. Suppose 0*h = -4*h - 4, -w*q - 4*h + 98 = 0. What is the remainder when 339 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584523.\nAnswer: 163, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -474*s**3 - 168*s**3 + 20*s**3 + (2 + 5 - 2)*(3*s**3 + 2*s**3 - 3*s**3 + s**2).\nAnswer: -612*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164596 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42769945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 - (2 - -6) - -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 796 and 1591\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40439 - -40439.020003. Let m = 0.02 - d. What is m rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 + -222200002122?\nAnswer: -222122211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30674 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q = -28*q - 286 + 4802 + 1974 for q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1\/(4\/(-8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 28*t**2 - 443*t - 6. Determine a(16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*1)\/sqrt(5) + (sqrt(22) - 1*sqrt(1782)))\/(-5*(sqrt(1584) - sqrt(1584)*-2)*2)*-3.\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2588, 5\/2, -2013?\nAnswer: -0.2588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 19 = 3*a, -364*z - 9 = -360*z + 5*a. Let n = 1 + 1. Suppose 0 = 3*f + n*f. Put -30, f, z in decreasing order.\nAnswer: z, f, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-63)\/(-6))*(-8)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -37.1. Let o = w + 37.0000058. Round o to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**2 + x - 6 + 80*x**3 - 65*x - 10 - 25*x**4 - 35*x**2.\nAnswer: -(x - 2)**2*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-33) - (-8 + (-275230)\/110).\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130307 is divided by 430.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*6\/(-3 + 15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*f - 138 = -5416 + 1797 - 3407 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o + 22*o**4 + 5 + 38*o - 5 wrt o?\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, -70, -149, -228, -307?\n\"Answer: -79*m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88332 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - 5*w - 84. Calculate i(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/6)*(m*m**(-1\/10)\/m)\/m)**13*((m*m\/(m*m*m**(-8)))\/m**(-7))**(-34) assuming m is positive.\nAnswer: m**(-7637\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/7 (b) 19 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 3*g, -2*g - 5*b + 2*b = 8. Suppose -g*c = -3 - 3, -5*r + 1497 = 4*c. 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 closest to -1 in -5, -0.5, -0.1, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((38 - (16 - -19)) + -1 + 6)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 + 360. Solve g = -2*x + 153 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpw. Give prob of sequence wp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 6486*w - 6489.\nAnswer: 3*(w - 2163)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -31 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.855 - -0.145. What is the second smallest value in 1\/2, 0.4, a, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1\/3 (c) 1.3 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 <= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 85*d - 83*d + 15, 0 = -4*v - d - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 233.\nAnswer: -172\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*l - 43*l + 3766 = 0 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-22)*755\/1510\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/520 + (-15)\/(-65).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -35. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**16*h*h**(-20)*h*h*(h**8\/h)\/(h*h\/(h\/(h\/(h*h*h*h**(-1\/21)*h)))) assuming h is positive.\nAnswer: h**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14805770.49 microseconds in weeks?\nAnswer: 0.000024480440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**3\/3 - 10*q**2 + 100*q - 26. Suppose c(a) = 0. What is a?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.683 + 3.6. Let s = 0.079 + o. Does 0 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 7, -5, 104614.\nAnswer: -5, 0, 4, 7, 104614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72909 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1051 + 19959\/5255. Let g = -90 + 95. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 - -3. Let y = l - 0.7. What is the nearest to 2\/5 in 1\/7, y, -2\/17?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4\/4 + -12. Let c be 1 - y\/(7 - 4). Solve -o + 0 = c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 21. Let t be c(-11). Suppose t*o - 322 = -12. Find the second derivative of 0*x**2 + 6*x**4 + o*x - 2*x + 0*x**2 wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 6*y)*(-1 - 1 + 3) - 2*y + y + 3*y - 4*y - y + 3*y to t + v*y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220680.\nAnswer: 2, 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 0. Let w(r) = -r**3 - 6*r**2 - 5*r + 3. Let h be w(z). Solve f + h = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 2. Let n(p) = p**2 + 9*p - 3. What is 4*n(a) - 7*t(a)?\nAnswer: 4*a**2 + 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1995)\/546 + 4\/26)*6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-15))\/((-11)\/(-440)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -35900192 = -35900191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and -43.28.\nAnswer: -43.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 2. Let y(t) = t**2 + 1. What is -u(w) + 2*y(w)?\nAnswer: -3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627442470?\nAnswer: 2, 3, 5, 1483, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 39.28 and -4887.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -22*v + 25\/42*v**7 + 0*v**5 - 5\/2*v**4 + 0 + 0*v**6 + 0*v**2 + 0*v**3. Find the third derivative of o(u) wrt u.\nAnswer: 1500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbdbbb. What is prob of picking 1 d and 2 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 282\/20755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4581 or -30?\nAnswer: 4581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 2 = 0. Let y be g\/((-2)\/(-40)*4). Let n(o) = o**3 + 9*o**2 + 3*o - 2. Is n(y) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (16 - (2 - -2) - (22 - 16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 3*g**2 + 3*g - 1. Let x be d(3). Suppose -4*w = -a - 0 - 5, 2*a = -w + x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-136))\/(1098\/156 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282224, 282241, 282258?\nAnswer: 282275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 343114 bigger than 343114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 52*d**3 + d**2 + 43*d?\nAnswer: 60*d**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 6. Let o be ((-1)\/(-2))\/((-7)\/(-42)). Let x(w) = 11*w - 4*w + o - 4*w. Let p(l) = 4*n(l) + 9*x(l). What is the first derivative of p(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 200925982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -30*t - 580. Let c(b) = -10*b - 194. What is 10*c(u) - 3*n(u)?\nAnswer: -10*u - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 12*q - 59. Determine n(-9).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19172, 600, 2 in increasing order.\nAnswer: -19172, 2, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/18)\/(114\/2052)*95\/(-10)*4\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231151, 231252, 231353, 231454, 231555?\nAnswer: 231656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y - 4. Let f be d(-2). Suppose -f*z = 4*a - 20, 16 = 5*z - 5*a - 39. Suppose 0 = j + j - z, l + j = 5. Which is greater: l or 0.012?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j - 5*j - 7 - 8*j. Let n be s(-9). Let q be (-6)\/n + 0\/5. What is the closest to 1 in 1\/2, q, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15843674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1495412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.17845 + 0.17845. Which is the nearest to g? (a) -0.02 (b) -4 (c) -1 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:13 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.1728 to 0 dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 9. Let v be f(9). Suppose v = -0*s + 5*s. Suppose 8*q - 3*q - 225 = s. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/30*42\/(-14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 0*b**4 + 0*b**2 - b**4 - b**4 - 4*b + 6*b**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (-30)\/(-195) - 323\/(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:02 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*m. Suppose 3*i = 3*z - 78, 0 = -m*z - 2*i + 62 + 6. List the prime factors of z + 1 + 14 + -13.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0094003761 to four dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 - 4 + 2*t**3 - 2*t**3 + t. Let o be b(6). Let r(k) = -k + k - 2*k**o. Let u(m) = -2*m. Calculate u(r(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993260943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86603757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {b: 2, n: 1, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6576 - -198.444795\nAnswer: -6377.555205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173159 and 1706.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62137*d*j**3 - 12598*d*j + 2*j**2 wrt j?\nAnswer: -372822*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 + 825 = 325*i - 740. Let z = -5 + 2. Let u be z\/18 + (-25)\/(-6). Solve 4*p = -4*t + u, 2*p + 22 = i*t - 3*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -869 - -758.6. Let y = -91 - c. Round y to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 42. Let z be p(-13). Suppose -z*t = -2*t + 8. Let v(r) = -25*r + 8. Does 12 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 27. Let h = v - 5. Let y be 30\/12*h\/10. Solve y*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.021, -4, -2 in increasing order.\nAnswer: -4, -2, 1.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000404147993 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759*p = 2437*p + 50600 - 8564 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 7. Let x = -17 + 7. Let i = 3 + x. Let h be y(i). Solve -3*a - 3*s = s + 16, a + 3*s + 7 = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 11939, -21, 5.\nAnswer: -21, -4, -2, 5, 11939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 4*j + 0*j)*(-5 + 5 + j) + (3*j - 3*j + j)*(-j + 0*j + 2*j) as r + l*j**2 + s*j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 33*v**2 - 96*v + 159. Let k be w(-31). Solve -k*q = -1225*q - 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t - 48 = -3*t - 286. Let v(q) = -4*q**3 + 2*q**2 + 5*q. Let i(z) = -9*z**3 + 5*z**2 + 11*z. Let m = -10 + 5. Calculate m*v(f) + t*i(f).\nAnswer: 2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9 + 2*n**2 + 0 + 7*n - n**2 - 14. Suppose 0 = -f + 22*f + 147. Give s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.18475449288099.\nAnswer: 1.81524550711901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 38 = -10*z + 6*z, 2*h = -4. Let q be 258\/172 + 50\/z. Let s = 1 - 3. Does q = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 0.4, 0.2, -7.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*p**2 + 15*p**2 - 56*p**2 - 97*p**2.\nAnswer: -205*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (85 - -35 - 174).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*c**2*j**2 - 9331615*c**2*j*k**2 + 19*c*j**2 - 4*c*j*k**2 + c*j*k + 651*c*k + 66*k**2 wrt c?\nAnswer: -34*j**2 - 18663230*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (11 - 0) + -7. Suppose -r*f + 3*f + 12 = 0. Solve 0 = -5*k - g - 15, 2*k + f = 3*g - 2*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-6 - 0)) + 29 + 4 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -939 or -68472\/73?\nAnswer: -939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:51 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 - 4 = 0. Let y = 11 - x. Suppose -2 + y = 3*f. Solve n + f*n = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 - 0)*(-7)\/42. Let u = 6 - 2. Which is the fourth smallest value? (a) u (b) -17 (c) w (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, -1\/9410, -0.4, -3\/5 in increasing order.\nAnswer: -3, -3\/5, -0.4, -1\/9410, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*1*(sqrt(5) + 4))**2.\nAnswer: 84*sqrt(5) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350675335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2 + -1)\/2 + 3. Let x(l) = 14*l + 5. Let u(a) = -1. Let w(v) = p*u(v) + x(v). List the prime factors of w(9).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(-2*x**3 - x**3 + x**3) + x**3 + x - x - 12*x - 2*x**3 + 12*x + 37438 + 267*x**3 - 37438 as p*x**2 + l*x**3 + f*x + q and give l.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*l = 127*l + 32186. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z)\/(z*(z**(-3\/8)\/z)\/z))\/(z**11*(z*(z**9*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6718758*j**4 - 8039704*j**2?\nAnswer: 161250192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 936 and 20573163.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -355 - -21027?\nAnswer: 20452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 971544?\nAnswer: 971544.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/19314 and 155\/444.\nAnswer: 38628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 134683.758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from rcrqrmmmcccmqmc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71387 - 49939. What are the prime factors of s?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - 0.3. Let j = d - 4. Let x = j - -0.4. What is the smallest value in -5, x, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4088088545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = t. Let k = -305 + 310. Sort -1, k, t.\nAnswer: -1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + -3*(-69762)\/4653.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 35 - (0 - (0 - -2) - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 + 12. Calculate c(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) -0.3 (c) 7 (d) 1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 10*k. Suppose 5*c = -k*c + 815. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -5, -11\/5, 2\/7, 54.3838?\nAnswer: 54.3838","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 2*p + 2, 5*v - 16 = p. Suppose -9*o = -v*o - 12. Factor -9*d**o - 2*d - 2*d + 9*d**2 - 4*d**2.\nAnswer: -4*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 171.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 + 29 = 37*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 - 768*u**2 - 222*u + 238. Calculate the remainder when 1740 is divided by j(110).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 16 - 20 + 5. Let x(h) = -2*h. What is -2*d(p) + x(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73400 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) - (-3)\/10. Let m be (-1 + 4)*(-1 - 0). Let l be m\/(-14) - 2\/(-7). Which is the nearest to l? (a) -1 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 2 - 3*z**4 - 1)*(4 - 4 - 1).\nAnswer: z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 24*c + 33. Let t be u(-22). Let z = 77 - t. Suppose -4*j + 5*y = -z*y - 551, -140 = -j - y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003170836795 to five dps.\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from rprrrrrrpp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k + 247*k - 369376 = 0. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/96 + 11*r**4\/192 - r**3\/24 + 6*r**2 + 22*r. Let f(o) be the first derivative of w(o). What is c in f(c) = 0?\nAnswer: 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/2 + 10*h**2 - 4*h. Let a be z(9). Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4022 - 4004.07. Let x = n + -18. Let v = x - 0.29. What is v rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890080655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i + 4. Let a be n(-3). Let d = a + 41. Let k(z) = -8*z**3 - z**2 + 1 - 8*z**3 + d*z**3 - 8*z**3. What is k(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7137121 is divided by 6401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -129*f**2 - f. Let t(g) = 30*g**2 - 46*g + 46. Let n(d) = -2*d**2 + 3*d - 3. Let u(o) = 92*n(o) + 6*t(o). Determine y(u(i)).\nAnswer: -2064*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11 - 29)*((5 + 0 - 3)*(2 - 2 - 2*v) + v - 4*v + 4*v).\nAnswer: 141*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - o - 2*o)*(13079*o + 2*o**3 - 7 + 3*o**2 + 13081*o - 26158*o) to the form z*o + j*o**4 + h*o**3 + w + p*o**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-5)*3)\/(17\/85). Suppose h*p - 50 = -4*l, 4*p + 2*l - 76 = -6. Solve p = -5*b + 4*k + 2, -2*b + k = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41884 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let h(q) = 8*q**2 + 8. What is h(m) + 8*n(m)?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*((-18)\/(-2))\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025417751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.9 in -178, -4, -2\/13, 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u + 8. Suppose -4*y + 18 = -10. Let k be n(y). Suppose 3*h + k = 6*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -0.3, -249, -0.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, 4, 99, 0.1 in ascending order.\nAnswer: -2\/5, 0.1, 4, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmc. What is prob of sequence cp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (3 - 0))*-11. Let n be (3 - 20\/4)\/((-5)\/25). Find the third derivative of -n*k + 14*k**2 - d*k**4 + 10*k wrt k.\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -16*d + 221. Let a(m) = -3*m + 44. Give 11*a(w) - 2*t(w).\nAnswer: -w + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 914*q + 569*q - 2*q**2 + 1215*q to the form p*q**2 + g*q + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1803 + 18237\/12020. Let g = 8386\/15 + -66931\/120. Calculate the common denominator of g and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(20\/4)\/(-10). Suppose 0 = -8*o + 15*o. Solve -6*r + k*r - 20 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -3\/2 (c) 1.9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12050 + 12087. What is the remainder when 364 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Suppose 2*m + 5*k + 3 = m, m = -2*k. Let t = 21 - 26. What is the nearest to m in -1\/5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -5, -83, -3, 1, -16 in ascending order.\nAnswer: -83, -16, -5, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 11, -16, -0.71?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 14 = -1. Suppose -2*b - 18 = 2*v, 0 = -s*b - 2 - 1. Let w = 13 - v. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 + 5*q**3 + 65*q**2 - 5*q - 60 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6177 by 1.\nAnswer: -6177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 12. Let n be (-1 - q) + 4 + -2. Solve 0 = c + n*i - 20, -2*c + 0*c - 4*i = -20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 - -10 - (234\/(-216) - 1*3). Let p(f) be the second derivative of -1\/8*f**2 + 8*f + 1\/120*f**6 - b*f**3 + 0*f**4 + 0 + 1\/40*f**5. Factor p(m).\nAnswer: (m - 1)*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/5740 - 27\/378\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h*h**(-3\/7))\/((h*h\/(h*h**(2\/5)))\/h)**(-1\/2) assuming h is positive.\nAnswer: h**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2\/3 + 41135850*k + 253823723283375 = 0.\nAnswer: -12340755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*i**3*o - 13*i**2 - 2758*i*o - 444*o - 3611 wrt i?\nAnswer: 84*i**2*o - 26*i - 2758*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - 1 - -4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(320) + sqrt(320) + sqrt(320) + -1)*6 + -1*-4*(sqrt(605) + -1 + sqrt(605) + (sqrt(605) - 2*sqrt(605)) + sqrt(605)).\nAnswer: -632*sqrt(5) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 354 = -4*s, 2*s - 4*q - 143 = 37. Let y = 84 - 24. Suppose -3*b = -3*l + 1 - 40, y = 5*b - 4*l. Calculate the greatest common divisor of s and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13\/4, 0.04, 0.5, -2\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028166 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 22*i**2 + 15*i**2 + 26*i**2 - 25*i**2. Let j(b) = -6*b + 4. Let n(u) = 5*u - 3. Let m = 10 - 6. Let d(p) = m*n(p) + 3*j(p). Give f(d(s)).\nAnswer: 152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-26 + 23 - (-7 + 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/203978 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let z = t - -5. Let l(o) = 4*o - 6. Let k(y) = -7*y + 11. Let u(p) = 3*k(p) + 5*l(p). Calculate u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ette when four letters picked without replacement from eteeefeeetfteefete?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-29)\/(-87))\/(5\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 798.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-14)*906\/(-302).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f**6 - 5*f**3 + 26*f**2 + 5. Let v(c) = 32*c**6 - 8*c**3 + 39*c**2 + 8. Let w(j) = -8*n(j) + 5*v(j). What is the third derivative of w(s) wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 13*z - 106 = 25*u, 0 = 4*u + 2*z + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**3 + 3*p**2 + 2*p. Let q(m) = m**3 + m**2 + m. Determine -3*q(i) + t(i).\nAnswer: 10*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 236361990 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/((-64)\/1792))\/(8*(-1)\/(-14))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 2*u + 3*s - 5, -3*s = 10*u - 7*u + u - 61 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 235*k + 11744. Calculate the smallest common multiple of j(-42) and 65.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*f + 3482*f + 1870*f - 237408 = 0 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {a: 8, u: 3, l: 1, b: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywctvccyyyyyccvyvyt. Give prob of sequence tct.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003712 rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.41 - -0.01. Let v = 0.4 + t. Let y = -3.68 - v. Round y to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4898.822 years?\nAnswer: 48.98822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 22879276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*o**4 - 38 + 2*o - 114 + 3*o**2 + 0*o**2 + 154 in the form y*o**2 + n*o + d + r*o**3 + h*o**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {z: 3, p: 3, j: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21848288*u**3 - 440744*u + 1?\nAnswer: -131089728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 465?\nAnswer: -3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 27. Suppose 0 = 21*r - z*r. Solve 2*i - 8*m + 10 = -3*m, -5*i + m - 25 = r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let j be 3\/38*((-55)\/15 - -5). Let n(o) = -o**2 - o. Let u be n(-2). What is the closest to 1 in u, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 13*j + 69. Is -1 - (j - 8634)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.7 - 12. Let j = w - 3.7. Let i = 6 - 2. What is the nearest to 0 in j, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(p + p + 0*p) - p + 0 + 0 + 8 + 6*p - 8)*(-29 - 28 + 58 + 4*p).\nAnswer: 36*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142158 + 69478. What is z rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, h: 10, o: 1, g: 3}. Give prob of sequence hong.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 20*o**4 + 3 - 6 - 30*o**4 + 2 - 2*o**2 + 19*o to r + h*o**2 + t*o**3 + j*o**4 + n*o and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.6711 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 0. Suppose z = -v*z + 34. Suppose -z - 6 = -5*k. Solve -c = c + k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -600, 146, 0.14, 0?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12884180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -5 (c) -0.04 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 226 = 230. Calculate the least common multiple of 64 and x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 1:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/70 and 113\/378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 - 100010100110100000010?\nAnswer: -100010100110100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4144323 (base 6) to base 3.\nAnswer: -101012010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Suppose r - 20 = -r. Let z(y) = -r + 10 - y. What is a(z(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 88\/77)*7\/16\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/5 + 1015512*b = 0. Calculate b.\nAnswer: 0, 1269390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 21. Let m(d) = -11 + d + 11. Let y(t) = -c(t) + 2*m(t). Calculate the remainder when 61 is divided by y(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - 8, -3*f + 2*t = -17. Suppose r = 5*l + 32, -26 - 17 = -4*r + f*l. Let x be (3\/2)\/(r\/42). Solve 4*k = 2*c - k - 9, 2*k = 5*c + x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, a: 2, z: 2}. What is prob of picking 2 z and 1 l?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1127995644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1)\/(-12)*15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.16 (c) 0 (d) 2 (e) 3\/4 (f) 7\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7137, -9360, -11583, -13806, -16029, -18252?\n\"Answer: -2223*r - 4914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3421, -6834, -10247?\n\"Answer: -3413*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (sqrt(1872) + 3 + -2)*3)**2.\nAnswer: 288*sqrt(13) + 16865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(27)\/sqrt(3)))**2 + (-1*sqrt(8))**2 + -2 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 226 (base 8) to base 13\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let x be -4 + (4 - 6 - -11). Suppose 0 = -3*y + 3*v - x*v + 17, -3*v + 6 = -m*y. Solve 0 = 4*u - 4*t - 24, y*t + 1 = 5*u - 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3*t + 10)*(-2 + 2 - 3)*(3*t - t + 2*t)*(31 + 9*t - 31).\nAnswer: -324*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-68)\/16. Solve 19 = -3*t + 2*i, 5*t - t = -y*i - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {v: 1, g: 1, o: 1, m: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/((-531)\/54))\/((-5 - 52) + -8).\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Let r be (-38)\/14 - (-6)\/(-21). Sort r, -1, o in increasing order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + j - 925, 3*j = -j + 8. Let t = v - 3599. Is ((-3)\/(-6))\/((-6)\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487216826 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1\/2, -3\/8, 2\/9123?\nAnswer: 2\/9123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 4. Let a = -23 + 34. Let m(d) = -d**2 + 9*d - 1. Let n(h) = -3*h**2 + 26*h - 2. Let s(y) = 7*m(y) - 2*n(y). Let v be s(a). Calculate z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 98 + 5*v**2 - 195 + v**3 + 97. Suppose -7 = 2*h + 1. What is the tens digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 148 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-3)*(-168)\/(-112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 2*h + (-h + 3*h + 0*h)*(-1 + 0 + 2))*(0*h + 0*h + h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from {h: 9, n: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3538.033 + 3540. Let w = q + 0.033. What is the second smallest value in -4\/9, w, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1483 and 995 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - i**2)*(0*i + 2*i + 0*i) + (4*i - 3*i + 5*i)*(0*i**2 + i**2 - 3*i**2) + 0*i**2 + i**3 + 0*i**2.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/127 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g - 25. Let o be p(7). Let s(y) = -1 + 85*y**3 + 10*y**o - y**2 - 11*y + 14*y. Let v be s(1). What is the greatest common factor of 64 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21809 from 0.6.\nAnswer: -21808.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from raajrjrrjrma.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085908474 rounded to 6 decimal places?\nAnswer: 0.008591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j**3 + 752 + 1124*j + 100*j**2 + 171*j**3 - 65*j**3 + 270*j**2 = 0. What is j?\nAnswer: -2, -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = -2*o, -5*z + 0*o = 2*o - 5. Suppose z*d + 256 - 862 = 0. What is the lowest common multiple of d and 8?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 - 8*x + 7. Let f(z) = 5 + 7 + z + 5 - 5. Let j be f(-6). Calculate t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 28*w**2 - 24*w - 141. Let a be u(29). Let b be (6\/7)\/((-3)\/(-21)). Solve -3 = a*q - 5*s - b, -q - 1 = -3*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(6\/(-1))*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 274\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a53 (base 14) in base 15?\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5077, -5018, -4949, -4876, -4805?\n\"Answer: -t**3 + 11*t**2 + 33*t - 5120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 - 12*j**2 + 0*j**3 + 5\/24*j**4 + 0*j. Let o(l) = -3*l**2. Determine o(s(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24009, 96243, 216699, 385377, 602277, 867399, 1180743?\nAnswer: 1542309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q - 1265 - 1561 = -1316*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:41 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:55 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose 5 = u*i - 1. What is the third derivative of -3*c**2 + 4*c**2 + 6*c**i - 2*c**6 - 4*c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83832 divided by -4?\nAnswer: -20958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -180*g + 91 wrt g?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -8. Let u(z) = 5*z**2 - 8*z + 4. Let f(b) = 6*b**2 - 8*b + 3. Let d(x) = 4*f(x) - 5*u(x). What is d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 701653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.748 * 0.1.\nAnswer: -0.0748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and -37804491857?\nAnswer: 37804491855.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 0 = -4*f - 3*w, 0 = -3*f - 3*w + 15. Suppose -l - 47 = -b - 19, 0 = -f*b - 3*l + 119. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 7*p - 42. Let b be c(-11). Solve -b*v - 6 = 2*r - 0*v, -4*r + v - 22 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaazazhwiahwz. What is prob of picking 2 w, 1 z, and 1 a?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -69941, -139250, -208559?\n\"Answer: -69309*a - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -4 - (4 - 4). Suppose -l = -j*l + 330. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (1\/2)\/(-27 - 46035\/(-1710)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005212796 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + 14\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*p**4 - 3 + 222*p**4 - 1)*(-698 - 694 - 132).\nAnswer: -3048*p**4 + 6096","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 1560 = -4*v. Suppose -3*w + 4*f = -v, 0 = 4*w - 9*w + f + 520. Suppose 3*g + 52 = 2*u, -5*u + 3*g = 2*g - w. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:16 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11010111010 (base 2) to base 13\nAnswer: a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12806758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -51 (b) 0.2 (c) -4 (d) 1\/3 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -30*h + 11*h - 5 + 6*h + h**2. Let f be (-48)\/(-3) + -2 + 0. What is the units digit of q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, -10, -0.09, -4\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -83, -141, -199, -257?\n\"Answer: -58*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -0.1. What is the closest to 0.3 in 1, k, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:08 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/41 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002088974 to six decimal places.\nAnswer: 0.002089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -2 + 1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(101 + 49 + 0)*(3*a - 3*a + 2*a).\nAnswer: -1500*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5 = 3*l, 3*v - 2*l + 43 = 46 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/4 + 17267*d\/2 + 933147\/4 = 0.\nAnswer: -27, 34561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 4, g: 2, r: 1, q: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*6\/(-6))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8268779 milligrams?\nAnswer: 0.0008268779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 467570 (base 10) to base 12\nAnswer: 1a6702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3*b**2 - b**2)*(425*b**2 - 77*b**2 - 47*b**2 + (-2*b**2 + 3*b**2 - 2*b**2)*(4 - 4 - 2)).\nAnswer: 303*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3857, -3907, -3961, -4019, -4081, -4147?\nAnswer: -4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 21*r - 16. Let n(z) = 21 - 5*z**2 + 2*z**2 + 30*z + 5*z**2. Let w be n(-15). Let d be h(w). Is -15 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -21*p - 4 - p**3 + 22*p + 24*p**2 + p**2 - 18. Let z be o(25). Suppose 0 = 2*f + 5*j - 181, j + 297 = 6*f - z*f. 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 the value of -7 - -3 - -13 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 - 4242?\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2\/19, -1.3, -0.1136?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4123?\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35072239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*a - 2142*a + 425*a + 433*a + 428*a + 432*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/18 and ((-6)\/450)\/((-5)\/((-8475)\/12)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100670698 is divided by 3728544.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(33) - sqrt(33))\/sqrt(3) - ((sqrt(11) - sqrt(11)*-1) + sqrt(11))*1.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*w - 7*w - 331, 3*w = -3*g + 486. Suppose 3*r + 62 = -4*u + g, -2*r - 4*u = -70. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 351 + 358 = -t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329 + 329.01. Put f, -4\/7, 0.5, 5 in ascending order.\nAnswer: -4\/7, f, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32159620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18808683 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 5 = 0. Let x be h\/(-3) - (-7 - -7). Let z = -0.2 + 0.4. What is the third biggest value in -2\/5, z, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21430113 + -21?\nAnswer: 21430042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 4 - -2 - 1. What is the third derivative of 13*d**2 + 3*d**6 - 3*d**c - 2*d**6 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-1)*(-1211)\/(-2076).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -3, 4, -0.5, -2 in descending order.\nAnswer: 4, 0.06, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 22 + 16 - 5*u - 27 + 8. What is the tens digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1863.0459 - -1863. Round s to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*w - 247162 + 25150 - 6706 = 0. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-6 + 4)\/(-4)). Suppose 0 = -4*o - c + 19, 3*c + 1 = 3*o - 2. Suppose 2*a - 3*i = -9, o*a - i = -6*i + 37. Sort z, a, 1 in increasing order.\nAnswer: z, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 10. Suppose 0 = -r + 2*y - 18, 3*y = 2*r + 31 - 0. Let u be z(r). Solve 3 = -u*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbna when four letters picked without replacement from {g: 2, n: 1, a: 2, b: 1, c: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:22 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402861602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -2) + (0 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-120))\/(2*1\/(-20)). Let s = 140 + p. Suppose -r - 64 = -5*r. Calculate the highest common divisor of r and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-1539)\/72)*(1200\/64)\/25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 = -4*f, 0 = -271*f + 277*f - 9*r - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92668*w**4*x**3 - 4084*x**3 - 19 with respect to w.\nAnswer: -370672*w**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 - 152655*s\/4 + 76325\/2.\nAnswer: 5*(s - 30530)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 4, -28, 79, -1 in increasing order.\nAnswer: -28, -3, -1, 1, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1. Let n(p) be the first derivative of -2*p**3 + 9*p + 238. Calculate 18*a(m) + 2*n(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnfnnnhwnv. What is prob of sequence vhfn?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/336)\/3)\/((-3)\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59518 * 20.\nAnswer: 11.9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0748 and 219.6.\nAnswer: 219.6748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3 - 17355448*c**2 = 0.\nAnswer: -8677724, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 - -6*1\/(-2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2 + sqrt(275))*1 - sqrt(275) - sqrt(275)) + (1*sqrt(2662))\/(sqrt(32)*2))**2.\nAnswer: 1055*sqrt(11)\/2 + 496131\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 23 = 5*w, -m - 9 = 15*w - 12*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 3, u: 6, n: 1, b: 2}. What is prob of sequence omno?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 3*h - 1. Let r(f) = 86453*f + 1 - 86451*f + 2*f**2 - 3. Give -3*n(d) + 4*r(d).\nAnswer: -d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -12.536?\nAnswer: 12.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65360*b**4 + 4*b**3 - b**2 - b + 464?\nAnswer: 1568640*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + x)*(-28 + 91 + 95)*(-2*x**2 + 3*x**2 + 0*x**2).\nAnswer: 158*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112774 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2053 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 89*z**4 + 6*z**2 - 3*z**3 - 53*z**4 - 5*z**2 in the form d*z**2 + m*z**4 + v*z + r*z**3 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by -100.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -238042.2923 to the nearest ten.\nAnswer: -238040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 564\/40 + 306\/(-60) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 726380886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20526854 is divided by 306370?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711.70617 rounded to the nearest 10?\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 1757367415?\nAnswer: 1757367414.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m - 14. Let r be h(0). Let o be (4\/r)\/((-10)\/14). Let k = 6 - 1. Which is the third smallest value? (a) -1 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjkjjjjlpjkljjlj. Give prob of picking 1 p and 1 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*l**6 - 1360*l**3 + l**2 - 2*l + 23241 wrt l?\nAnswer: 18120*l**3 - 8160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 2*h**2 + 3*h - 2. What are the prime factors of s(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 212*a**2 - a + 196. Let c(b) = 2*b. What is w(c(d))?\nAnswer: 848*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 5. Let i(y) = y - 1. Let p(r) = 4*i(r) + n(r). Calculate the smallest common multiple of p(6) and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*v**3 - 590*v**3 + 3427*v**3.\nAnswer: 2614*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 5. Suppose -r = g - 5*y, 3*y = -3*g + 5 + 10. What are the prime factors of (2 + 2)\/(1\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**6\/120 + p**5\/5 + p**4\/8 - 14*p**3\/3 - 66*p**2. Let g be m(12). Determine z, given that g - 8\/3*z + 2\/9*z**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1312 - 1312. Let x(v) be the third derivative of 0*v**5 + h + 0*v + 1\/24*v**6 + 0*v**3 - 5*v**2 - 1\/8*v**4. Find the second derivative of x(k) wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2 + 1320700*g - 1277015?\nAnswer: 2*g + 1320700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 787*n - 442*n - 7590 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101e0 (base 15) in base 13?\nAnswer: 1a319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -663 - -642. What is the nearest to -0.1 in -2\/3, 4\/3, 3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiipipiiii. What is prob of sequence ii?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118 + (-24 - -8))\/(-8 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*p**4 + 576064*p**3 + 13814244*p**2 - 10603764*p + 2003400 = 0. Calculate p.\nAnswer: -2226, -25, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2323560*z + 39561562 wrt z.\nAnswer: 2323560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -234696 and 2125.\nAnswer: -232571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-295)\/(-5)*1. Suppose 4*g = 33 + t. Suppose g = -2*h + 129. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 126?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157244021*a**4 + a**2 + 263635316*a wrt a?\nAnswer: 1886928252*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*d + 13, -o + 4*d + 1 = 9. Calculate the smallest common multiple of o and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*b**3 + 32*b**2 - 161*b**3 + 35*b**2 - b + b to t*b**3 + n + u*b + j*b**2 and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 5*y + 2. What is t(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3420 and 126.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 87561087 divided by 4497\nAnswer: 19471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 - 4*f**2)*(f - f - 2*f)*(-15 + f + 15) as s*f**4 + a*f**2 + v*f + k + u*f**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 22*h - 171. Let t be g(8). Let v(y) = 15*y**2 - 3*y + 15. What is the tens digit of v(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19457 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -14\/5032085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:39 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 408 = -544. Sort -6, j, -4 in decreasing order.\nAnswer: j, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -244*j**2*w - 28*j*w - 1617*w - 1 wrt j.\nAnswer: -488*j*w - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 7*o**4\/6 - 49*o**2\/2 + 11*o - 48. Let x(s) be the first derivative of n(s). What is the first derivative of x(v) wrt v?\nAnswer: 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248098174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/30)\/(16 + -14) + 3\/(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 5*b**2 - 3*b - 3. Suppose -5*x = -x - 12. What are the prime factors of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d - 3*i + 14, -8 = -2*d - i. Suppose -3*b = -d*s + 10579, 5*b - 5203 = -s + 119. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 + 5. Let j be (-1)\/10 - (1 + (-714)\/140). What is f(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 - 2.3. Let j = k - -27. Which is the nearest to 1? (a) j (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -77, 2, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 861 and 1101219.\nAnswer: 1101219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4)*s*s**(-4))\/(s**(1\/4))**47*(s**(2\/13)\/(s**(4\/7)\/s))**(6\/7) assuming s is positive.\nAnswer: s**(-23571\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 6*(-35)\/56. Is k smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 1 + 1 + (3*d**2 - 4*d**2 + 0*d**2)*(-d - 3*d + 6*d) - 2*d - 2*d**3 + 2*d + (2*d + d + 3*d)*(d**2 + d**2 - d**2).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164612444946 - -0.277.\nAnswer: 164612444946.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 61. Calculate w(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478787?\nAnswer: 3, 641, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.29970178 or 1\/3?\nAnswer: -0.29970178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c**4 - 4*c**4 - c**4)*(0 + 0 - 5*c).\nAnswer: -60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/24*5\/(20\/(-3)))\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:39 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167600679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-108))\/(4\/9).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160030 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45138 - -45136. Let r = 3 + -2. Which is the third smallest value? (a) r (b) -0.5 (c) 5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + q**2 + q**2 + (3*q - 2*q + 7*q)*(2*q - 6*q + 0*q).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8104 - 95747008*a**2 + 95747008*a**2 + a**4 + a**3 as n + y*a**3 + t*a + u*a**4 + s*a**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/144)\/(2\/(-6)). Solve 6*l = 7*l + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 272388*h. Let z(a) = 6*a. Determine z(f(k)).\nAnswer: 1634328*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + g + 5*g - 5 + 3*g**2 - 4*g - 5*g**3. What is the units digit of k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*f + 9*f - 18*f)*(2*f**2 + 2*f**2 - f**2) in the form l + j*f + m*f**3 + n*f**2 and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 10643373?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/85756 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -43*r**2 + 229694*r. Let j(i) = i. What is j(b(h))?\nAnswer: -43*h**2 + 229694*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4109 + 4143. Solve -28*g + i*g = -30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 1448709*u**2\/2 - 2897421*u\/4.\nAnswer: 3*u*(u - 965807)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -100. Let q be (-12)\/o + 4\/(-14). Let w = -2.04 + 0.04. Which is the third smallest value? (a) q (b) w (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 675. Let c be (-3)\/(((-48)\/(-20))\/(-4)). Let k be c\/10 + 106\/4. What is the highest common factor of k and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 554526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 6. Let g be v(-4). Suppose 5*m - g*s = 17, -3*m - 3*s + 0*s = -6. Find the second derivative of -y + m*y**2 + y**2 - 6*y**2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-176)*324\/(-54)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3886375 by 5.\nAnswer: -777275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/5957 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.97 - 0.03. Let v = -26\/9 + 136\/45. Let n be ((-220)\/715)\/((-2)\/(-13)). Which is the closest to w? (a) n (b) v (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 3333*m**4 + 4957*m**2.\nAnswer: -60*m**2 - 79992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97980 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 18. Let t(o) = 3*o + 1. Let n be t(-2). Suppose h - 2 - 4 = -4*m, -2*h = -2*m + 8. Sort -4, h, n, k in increasing order.\nAnswer: n, -4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 times -21536.55\nAnswer: 839.92545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 23. Let r be (-4 + -1 + 0)\/1 + 6. Sort t, -5, 5, r in increasing order.\nAnswer: t, -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 46.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 + 5. Let u(m) = -m + 4. Let b be u(4). Suppose f = -b*f - 5*z + 25, -2*z + 8 = 0. Let r(i) = 7*i**2 + 4. What is f*d(h) - 6*r(h)?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211259592439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212*a**3*p**4 + 19*a**3*p - 5*a**3 + 4*a*p + p**4 wrt p.\nAnswer: 2544*a**3*p**2 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5317264.\nAnswer: 2, 19, 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/1680 - r**6\/150 - r**5\/150 + r**4\/40 + r**3\/15 + 8*r**2. Determine c so that l(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -2*p + 9, p - 9 = -4*m. What is the remainder when 19 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/46)\/(3\/(-7)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 1039348*c**3 - 135030533138*c**2.\nAnswer: -2*c**2*(c + 259837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 15*s**2 + 15*s - 11. Let p = -110 - -94. Let k be j(p). Let b(t) be the first derivative of t**3\/3 - 2*t**2 + t - 1. Calculate b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16734, 16735, 16736, 16737, 16738, 16739?\nAnswer: 16740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/5))**11)**(-2\/43))**(5\/7))**22 assuming i is positive.\nAnswer: i**(-968\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100275, -100272, -100269, -100266?\n\"Answer: 3*v - 100278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -27, 1, -1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2, 0.02, -5, -41, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/3 + x**2\/2 + x + 21. Give g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -268*x**3 - 2*x**2 - 2*x - 1. Is c(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146.25 - -3.25. Let h = l + 143.000089. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918814.4 hours in nanoseconds?\nAnswer: 3307731840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u + 0)*(-2*u + 2*u**2 + 2*u) - 3*u**2 + 3*u**2 + u**3 + u - 4*u**3 - u + 20*u**3 - 6*u**3 + 3*u**3 + (1 - 2*u - 1)*(-4*u**2 + 0*u**2 + 5*u**2).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, 0.3, 1367, -0.11, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -30*v - 6. What is the units digit of o(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-330 - -2*3\/(-3))\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 212*i**2 - 789*i + 125. Determine v(3).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6549*i**3*x**3 + 29*i**3*x + 2*i**2*z - 116*i*x**3 + i*x**2*z - i*z + 3*x**3 + 3*x**2 - 1 wrt i?\nAnswer: 39294*i*x**3 + 174*i*x + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -1210?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 - 6*s - 11. Let c be u(-3). Calculate the highest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + 21444?\nAnswer: 22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-7 - (-642)\/90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 1638, 3577, 6254?\nAnswer: 9669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 79*c**2 - 134*c + 449. Determine w(78).\nAnswer: -3919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23983915 - 4*d**2 + 4*d**2 + 29*d**3 + 23983915.\nAnswer: 29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:11 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -130. Solve -s = -h*f + 7, 2*f + 2*f = 5*s + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*f - 39. Suppose -29*l + 2*l = -594. Let v = l + f. Solve 0 = 2*k - 2*s - v*s - 10, 2*s - 20 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220012 (base 5) to base 10.\nAnswer: -7507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -6, -2, -52 in increasing order.\nAnswer: -52, -6, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:11 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.1 + -89. What is v rounded to 0 dps?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18556\/1113 + -2\/371. Let l = 17 - g. Find c such that 0*c**2 + 0*c + 0*c**4 + l*c**5 - 1\/3*c**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 (base 9) in base 14?\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63025821 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262720 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -161 - 4?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihixhigigirgl. Give prob of picking 3 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/19 + 6046*j**3\/19 - 4678986*j**2\/19 + 164722690*j\/19 + 8916196 = 0. What is j?\nAnswer: -1, 38, 1493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*g + 185, -q + 508 + 615 = -8*g + 1195 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -5, -50, 33, 5 in increasing order.\nAnswer: -50, -5, -2, 5, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 690 + -900.5. Let z = o + 210. What is the nearest to 2\/5 in 0, z, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 36810 + 36810.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11174 - 28*t**2 + t + 0*t + 11176 - 5*t as a + g*t**2 + n*t and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*d + 967 = 967. Factor 1\/3*j + d - 1\/3*j**2.\nAnswer: -j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*m + 98858562 + 14068778, 3*m - 169390987 = 4*h. Suppose 0 = -4*a - a + m. Let t = a + -5092733. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/((-72)\/297))\/((-4)\/(-1)))\/((-324)\/216).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/36, 0.2, 226 in increasing order.\nAnswer: -11\/36, 0, 0.2, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/27264 and -101\/4686.\nAnswer: 299904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 11*y + 13. List the prime factors of g(11).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6557 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(3\/11)\/(a**16*a**(-8)) assuming a is positive.\nAnswer: a**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -643.51531 + -6454\nAnswer: -7097.51531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -201476 + 0?\nAnswer: -201476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.489 - 0.318. Let p = h - 8.171. What is the second biggest value in 3, -3, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -213*u + 211*u - 6, 0 = 2*a + 3*u + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:31 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 2*q + 24. Solve 3*u + q = -2*t, 0 = u - 5*u + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + v + v)*(0 - 4 - 1)*(2 - 1 - 8)*(2 - 3 + 2) in the form j*v + m and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 + 17*k**2 + 28*k**3 - 14*k**2 - 10*k**2 + 33*k**2.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(4\/5)))\/q*q**(-1\/12)*q*(q**(1\/6)*q)**(10\/3))**(-1\/17) assuming q is positive.\nAnswer: q**(-829\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c**3 + 9*c**2 + 26*c + 16. Is l(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 8*b**2 - 3*b. Calculate z(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 597043*a*f**2 + a*f + a - f**2 - 19*f + 66659 wrt a.\nAnswer: 597043*f**2 + f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1391.5?\nAnswer: 5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 78 = -2*m. Let l = m + 54. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/8399099 or 1?\nAnswer: 4\/8399099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 128679*m**3 + 1158354*m**2.\nAnswer: -3*m**2*(m - 9)*(m + 42902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/3, -4, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 28 + 89 + 2 + -28?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8197 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 907419649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 170 in increasing order.\nAnswer: -5, -4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*c + 26, -5 = -5*c - 0*c + m. Let y be 4*1*2\/c. Suppose -u - y + 8 = 0. Solve u*l + 14 = 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66c48d (base 15) to base 5.\nAnswer: 2223322113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74709406706 + -0.7.\nAnswer: 74709406705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 - 1) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 25*q**2 - 3*q + 13. Is r(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21) + -5*48\/120.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 18*c**2 + 2*c - 711. Determine m(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1602 + -475796\/297. Let p = d - -604\/1485. Let s = 66 - 65.8. Sort s, p, 5\/2 in increasing order.\nAnswer: s, p, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = 3*w, -7*y - 5*w = -2*y - 30. Let d = 3 - y. Suppose 5*z + 0*z - 15 = 0. Solve -n + z*n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + 147. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -68, -117, -176, -239, -300?\n\"Answer: d**3 - 14*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32097959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 + -197.9. Suppose -7*s + 2*s + 2*h - 8 = 0, 0 = 2*s - 2*h + 2. Which is the nearest to -1\/4? (a) k (b) 16 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40d4 + -abb?\nAnswer: -4bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(2\/((-6)\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3493224 by -2436.\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226440 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 1. Let p be z(0). Which is smaller: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51944565, 103889131, 155833699, 207778269?\n\"Answer: u**2 + 51944563*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*g + 519 - 484 + 51*g in the form m + r*g and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3) + 2)\/(275\/330)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 21*q**2 + 2*q + 9. Let h(w) = -w**2 - 1. Let u(p) = 6*h(p) + y(p). Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 37 = 3*n + 4*j, -5*n + 58 = 4*j. Suppose d - 11521 = -11120. Suppose -d = -n*p - 107. Solve 4*c = v, -v + p = 3*v + 5*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 9*l = -20. What is the least common multiple of 8 and 156\/l + ((-8)\/10)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1057 - -1625. What is the least common multiple of 96 and c?\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/30330761 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 494635 and 2047.19.\nAnswer: 496682.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0458 + -78.9542. Let a = s + 77. What is the closest to a in 3, 0, 1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 - 10*j + 22. Let g be d(8). Suppose -2*l = 2*l - 288. Let c = -59 + l. Solve -2*s + c = 3*y, -2*y - 7*s + g = -3*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -28. Suppose -2*f = -j + 2. What is the second derivative of -2*t**3 + 4*t - 4*t + t**3 + f*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 145, -464, -1651, -3602, -6503, -10540?\nAnswer: -15899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1428)\/(-32487)*(-28)\/32\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 126 = -5*h. Suppose -g + h = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4850982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j. Let p(n) be the second derivative of 7*n**4\/12 + 31*n. Determine h(p(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 11 - v - v**4 - 40 + 11 + 11 + 2*v**3 as i*v + t*v**3 + b*v**4 + h + l*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from sissmbsmisiib.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -1 + -2 - 0. Which is smaller: y or 3\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25386322 and 7748.\nAnswer: 3874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353\/4 - 10283\/116. Calculate the common denominator of 49\/6 and y.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 764*d - 402752\/5.\nAnswer: -2*(d + 112)*(d + 1798)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74731998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-238)\/(-42)*-3 - -14. Let i(x) = x**3 + 3*x**2 - 6*x - 10. Determine i(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 25, -8 = -a + g. Suppose -192 = -v - a*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 16. Let r(g) = g + 4. Let p(v) = -18*r(v) - 4*s(v). Let z be p(9). Suppose -z = -5*q, -4*f - 4 = -3*q + q. Solve -5*j - 20 = -f*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u**2 + 36*u - 38. Let k(q) = 8*q**2 + 12*q - 14. Let j(h) = -17*k(h) + 6*m(h). Factor j(y).\nAnswer: 2*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhdphhvhvdhdhdhphh. What is prob of sequence hpv?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 19, 19, 5, -29, -89, -181, -311?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-20))\/((-8)\/6)*13\/((-416)\/48)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19530 by 155.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 15*i**3 + 53*i**2 - i + 80. Give n(-7).\nAnswer: -2461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5310 and 8500130.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 15*m - 18.\nAnswer: -3*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbrbbrbbbbbrbbrb. Give prob of sequence bbrr.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 306. Let v(y) = -y**3 + 6*y**2 + 9*y - 7. Let s be v(7). Suppose s*d = 2*d + 105. Calculate the highest common factor of o and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0*5\/45 + (-30)\/(-70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279 + -269. What is the least common multiple of u and 484?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -0.3 (c) -2 (d) 0 (e) -368 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3307d (base 16) to base 2\nAnswer: 110011000001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(120)\/sqrt(2))\/sqrt(4))\/(-1*sqrt(40)\/(sqrt(8)*-2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - 14*x - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -119 - -1\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232315489.\nAnswer: 7, 17, 19, 37, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfd when three letters picked without replacement from trfdd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/17)*k\/(k\/(k\/k**7))*k**8*k**(-2\/5) assuming k is positive.\nAnswer: k**(141\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -33. Calculate the highest common divisor of 70 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-4 + 4 - 15*l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286.76338310678 + 4680507.14661695322. Let f = 4680801.91 - v. Let g = f + -8. What is g rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7785 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 115804197 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5482.\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*f**3*u**4 + 29*f**3 - 10*f*u**2 - 4 wrt u.\nAnswer: 52*f**3*u**3 - 20*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 25 - 8*a)*(1 - 2 + 0) + 195 - 1656*a - 102 - 93 to v*a + t and give v.\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) 15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/((-6579)\/(-108)))\/(74\/629)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*a*g*j + 3*a*g + 34*a*j + 2*a + 483*g*j - 123931*g + 4*j - 5 wrt j.\nAnswer: -105*a*g + 34*a + 483*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 18*b**2 + 29*b - 29. Let a be i(-16). Solve 4*d - 3*f = a, 7*d - 4*f - 25 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 3*s - 6. Let j be m(-4). Let q be (-3)\/(-9) - j\/(-3). Let c(w) = -w**2 - 3*w + 3. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 869546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - 0 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3817\/94 - 52\/47. What is the common denominator of y and 49\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let b(g) = -g**2 - 9*g - 9. Let t be b(-7). Suppose t*j + 6 - 31 = 0. Solve o = 4*i - q, -i + 0*o = -5*o - j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2686?\nAnswer: -268b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 - 5*f - 14. Let j(i) = 2*i**2 - 2*i - 5. Give -17*j(c) + 6*o(c).\nAnswer: 2*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c**2 - 1\/3 + 2\/3*c - 2\/3*c**3 + 1\/3*c**4 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9160?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhe when four letters picked without replacement from {e: 1, h: 2, j: 3, c: 2, y: 1, z: 3}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**19*w*w)\/w*w\/(w\/w**(5\/2)))**(32\/5))**38 assuming w is positive.\nAnswer: w**5472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 15*s**3 + 0*s**3 + 0*s**3 + 3*s**3 + (-2*s + s**2 + 2*s)*(s + 2 - 2).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*h + 48, 5*h - 2*h + 4*v = 36. What is the smallest common multiple of h and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.1 in -0.3, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - (3 + 1)) + 41 + -141 + 125.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1966620 divided by 983310\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 13 = 23. What is the nearest to 1\/3 in -2\/13, w, -26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(63))\/sqrt(9))**2*-4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1591 - 1593.9524. What is n rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017 is divided by 1007.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -3\/5 (c) 41 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 + 2132. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 - 11 = 0. Let n = 5 - r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8421626 and 4?\nAnswer: 33686504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 29. Let c be (2\/(-6))\/((-26)\/4992). Suppose 3*q - 8 = c. Calculate the remainder when q is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 + z**2. Let l(g) = -1478*g + g**2 + 1478*g. Give l(v(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.6 - -14.32. Let c = 627 - 627.391. Let y = c - u. What is y rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -1. Let r = 0 - h. Let i be -2 - (-4 + 3 - -4). Put 2, r, i in ascending order.\nAnswer: i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x - 9. What is p(14)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:35 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*l = -262*l + 46374. Calculate the remainder when l is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267670209?\nAnswer: 13, 37, 2635489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -678 - 4*a + 47*a + 687 with respect to a.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10) + 98\/35. Suppose -g*c = 9 - 13. Suppose -8*h + 1410 = c*h. Is 47 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(66)\/sqrt(6)) - ((sqrt(360)\/sqrt(6))\/sqrt(12))**2) + -3.\nAnswer: -8 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12) + 7\/(-4). Let u = 21250 + -21242. What is the least common multiple of (11\/2)\/((-1)\/g) and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -9 + 0*k**4 + 1\/120*k**6 + k**2 + 26\/3*k**3 + 0*k + 1\/60*k**5. Find the third derivative of t(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 2 x when four letters picked without replacement from {h: 4, x: 5, e: 1, r: 8}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 9*f**2 + 6*f + 9. Calculate b(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 14*k**3 - 16*k**2 - 32*k.\nAnswer: -2*k*(k - 4)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 11*u**5\/5 - u**4\/12 + u**3\/3 + 33*u**2\/2 + 135*u - 2. Find the second derivative of h(j) wrt j.\nAnswer: 264*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrxnrnzthnxnnrt. Give prob of sequence xn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -7, 0.1, 8, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21111, -21112, -21113?\nAnswer: -21114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1540 and 10.9.\nAnswer: 1550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2 - n**2 - 8*n**2 + 12*n**2. Let u(y) = -2*y**2. Determine u(l(k)).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 7*a = l - 10*a + 29, -3*l - 27 = -5*a + 19 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - 4.08. Let p = f - -3.9. Suppose -5*c - 3*m = -3, 4 = -2*c - 2*c + 4*m. What is the nearest to c in 0, 0.2, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55737 and 20268.\nAnswer: 222948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 + 11. Let b(v) = -5*v + 4*v + 4 - 3*v**2 + v. Let n be (0 - 2)\/(4\/22). Let x(l) = n*b(l) + 4*r(l). Let i(k) = 3*k**2. What is i(x(f))?\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b - 5. Let q(c) = 9*c + 6. Suppose 7*t - 6*t + 5 = 0. Let d(l) = -l**3 - 5*l**2 - 3*l + 3. Let v be d(-3). Determine t*q(s) + v*z(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 11) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*r - 4 = 2*c, 5*c + r = 1. Let x = -0.313 - 0.087. What is the nearest to c in 5, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + y + 192*y**2 - 4*y + 3*y - 184*y**2 - 14.\nAnswer: 8*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-403)*(-3 + 4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 6. Suppose -h + u = h. Let s be 8 + -5 + 3\/1. Calculate the highest common divisor of s and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776573?\nAnswer: 7, 110939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 - 8*z. Let h be v(-6). Let q be h\/210 + 48\/14. Solve f = -l - 1 - q, 13 = -5*l - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 116 = 4*b, 0 = -g - 0*g + b + 25. Let c = g - 16. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 72, 0.5, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1992 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(2\/3)\/b)))**(-1\/22)\/(b*b*b**(-2\/15))**(-5\/3) assuming b is positive.\nAnswer: b**(619\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 91*d - 27*d - 840 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27501500, 55002998, 82504496, 110005994, 137507492, 165008990?\nAnswer: 192510488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)\/j*j**(-5)*j*(j\/(j*j**(-3\/4)))\/((j\/(j*j*j*j**(-20)*j))\/j) assuming j is positive.\nAnswer: j**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1)*2\/10. Let g be (-5)\/(-15) - ((-800)\/(-6) - -2). Let m = -947\/7 - g. Which is the third smallest value? (a) -0.08 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17253 + 17253. Is g at most as big as -5\/404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5 + 0*m + 10*m - 4*m. Let j be b(9). Suppose 0 = 5*t - j + 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 161850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/3))\/w)**(4\/3)*w**(-1)\/w**(4\/7)*((w*w**(-3))\/(w\/(w**2\/w)))\/(w**2\/(w*w\/w**(-4\/5)*w)) assuming w is positive.\nAnswer: w**(-698\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011011011011 (base 2) to base 12.\nAnswer: 17b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let i = -0.1 - -0.2. Let k = -1.334 - -1.834. What is the closest to 0.1 in i, k, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 6 + (1 - -28). Let j = z + -56. Let q = -18 - j. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5853153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:18 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 33 - 363. Suppose -22*s + l*s = 11033. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.02 + -0.12. Let g = 2 - i. Let n = -1.9 - g. Which is the closest to -2? (a) 5\/4 (b) n (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0.4, 35, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-6))\/17*432\/24?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 12*k - 5*g = 133, 3*g + 131 = 2*k. What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29687 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = -20. Suppose -p + 5*p = -20. Let i(b) = -3*b. Let d(s) = -4*s. What is p*d(f) + z*i(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**3\/39 - 2*m**2\/13 + 35. Factor l(y).\nAnswer: 2*y*(y - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -8*g - 7*g + 114. Calculate the remainder when 8973 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 3)*((-i + 3*i - i)*(-3*i - 3 + 3) + 3*i - 3*i + 2*i**2 - i**2 + 3*i - 3*i) to the form r*i + k*i**2 + w and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 - 862 = -93*s + 7873. Calculate the least common multiple of s and 66.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - 2960\/144) + 1 + (-4)\/9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:58 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11894 = -4*i + 16892, 0 = w + 2. Suppose -5*q - 8305 = -5*l + i, -3*l + q = -9300. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 8040620.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3808\/436151 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -74, -96, -98, -74, -18?\n\"Answer: i**3 + i**2 - 46*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09902 and 12.64?\nAnswer: -1.2516128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*v + h + 1 = 144*v, 2*v + 3*h = -3. Let t(j) be the second derivative of -4*j**2 - 8*j + 0*j**3 + v + 1\/2*j**4. Differentiate t(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2313022 (base 4) to base 12\nAnswer: 694a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 16*q + 43*q - 15*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-12948)\/(-18) + 6\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/5 + 7*z**2\/2 - 4*z. Differentiate w(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263 - -16. Let u = 482 - h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68325010 to the power of 1\/2, to the nearest integer?\nAnswer: 8266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.4? (a) 0.3 (b) 0 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*x + 15, -f = 4*x - 13 - 2. Calculate the least common multiple of 1 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 120825.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*(-90)\/(-10). Calculate the common denominator of 43\/11 and 220\/(-72)*-2 - (-3)\/s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 3*a**2 + 2*a to q*a**2 + y + x*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 390*y**3 = 0.\nAnswer: 0, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 16*i - 98. Solve t = 5*z - i - 6, -z = t + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 0*i**3 + 31*i**2 - 1\/24*i**4 + 0*i. Let a(r) = 19*r**2. Calculate x(a(l)).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-744)\/(-18848)*(-8)\/6?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 862*m**3 - 184020*m**2 + 754286*m + 937445 = 0.\nAnswer: -433, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*p + 2 = 17, 4*n + 25 = -5*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1797*k + 682 + 29799 + 145625 = 0 for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Let g be (-5 - 8\/4) + u. Is 14\/g + (-1 - -1484) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-268)\/15 + (-2)\/15. Let z be (-4)\/18 - (-266)\/f. What is the least common multiple of 14 and (z\/(-10))\/((-1)\/(-8))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 4. Let f be i(-4). Suppose 4*z - 12 = 0, f*u - 5 = -0*u + 5*z. Solve -9 - 1 = u*t, -k - 6 = 3*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 646*l + 3869. What is u(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - (-8)\/(80\/(-315)). Let i = -28 - x. What is the closest to 0.2 in i, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082 = -3*g + 247. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + -39 - (-26 - -14 - -20).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5\/2, -0.3, 1, 85.49 in decreasing order.\nAnswer: 85.49, 5\/2, 1, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 10*z - 7*z + 4, 0 = -5*b - 4*z - 7. Let h(j) = 31*j**2 + 1. Determine h(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.462 less than 70?\nAnswer: 9.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xxxxxiiiixxiii?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59325, 118599, 177873, 237147?\n\"Answer: 59274*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 2\/21*r**7 + 0*r**5 + 0*r**6 + 0 + 0*r**3 - 2*r + 5\/12*r**4 + 0*r**2. What is the third derivative of b(q) wrt q?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24720193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**7\/42 + 23*y**4\/3 - 100*y + 34. Let p(n) be the first derivative of k(n). Find the third derivative of p(c) wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (-20 + 31)) + -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69215.4 nanometers to millimeters.\nAnswer: 0.0692154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12470524 and 1584.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h. Let x(w) = 51*w**2 - 77*w**2 + 46*w**2. Determine x(l(j)).\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006664021 to seven decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/131 and 6\/17?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 41*j + 21. Calculate x(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2. Let j(o) = 3 + 0 + 2 + 6*o. Let r(m) = 6*m + 6. Let c(l) = 6*j(l) - 5*r(l). What is c(h(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3183\/13 - 245. Suppose 0 = 5*x - 3*z - 12, 0*x - 16 = 3*x + 4*z. Let s be (x - (-1 - -3)) + 3. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*s - s - 3*x, -20 = -4*x. Suppose -36*n + s = -37*n. Let o = -1.7 - -0.7. Which is the nearest to o? (a) n (b) -0.8 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 43, 66, 89, 112, 135?\n\"Answer: 23*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62594947*o**3 + 108568004.\nAnswer: 187784841*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152970?\nAnswer: 2, 3, 5, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -61. Let s = -16 - m. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 15. Suppose 5*l - b = l. Sort l, -5, 5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(4\/9))*v))**(-47)*(v**(-4\/3))**2 assuming v is positive.\nAnswer: v**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 868000950 by -103890.\nAnswer: -8355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2. Let l(u) be the first derivative of 16*u**3 + 98*u + 7 - 4*u**3 - 98*u. Calculate j(l(b)).\nAnswer: -1296*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 1, p: 7}. What is prob of sequence ppu?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twet when four letters picked without replacement from twewte?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182.889 kilometers in centimeters?\nAnswer: 418288900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -113260?\nAnswer: -113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893948473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-171 + 176 - 2\/((-24)\/(-61)))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155807 = n - w, -45*n - 5*w = -48*n + 467429. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.6*238.\nAnswer: -5854.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 6*w + 74. Let u be (w\/(-3204))\/((-2)\/8). Suppose 0 - 3 = -3*p. Is u smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 127 = -153. Let w = 87 + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-72)\/30 + 2)\/((-2)\/3370)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtvououdj. What is prob of picking 1 t and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + -2)**2*4 + 1)*-1.\nAnswer: -7617 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11264 is divided by 387?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 46 = -5*q + 2*y, 2*q + y + 50 - 26 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 814917.2 decades in centuries?\nAnswer: 81491.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 1334, 2, 1072 in ascending order.\nAnswer: -12, 2, 3, 1072, 1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c. Suppose 3*a - 1429 - 68 = c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + m)*(-5*m**3 - 8 + 8) + 0*m**2 + 2*m**4 + 0*m**2 - m**4 + 2*m**4 - 2*m**4 + 2*m**4 + 4*m**4 - 4*m**4.\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 - y + 44. Give b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llf when three letters picked without replacement from zdlzzzdzffffflzzdfff.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*p - 2*p**2 - p + p**2 to the form i + a*p + m*p**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -28*i. Let k(l) = -180*l**2 - 180*l. Let x(q) = 26*q**2 + 25*q. Let w(a) = -5*k(a) - 36*x(a). Give t(w(g)).\nAnswer: 1008*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-7) + -6 + 195\/35. Suppose -2*j + n = 2*n - 10, -4*n - 12 = -i*j. Let a be 0*(j + 2 + -5). What is the second smallest value in a, 6, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/15*(4 - 1)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gglh when four letters picked without replacement from {h: 2, l: 2, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40740079 is divided by 30934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from qhqhqqhqhhqh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((64\/8)\/(-4))\/(((-2)\/12)\/((-5)\/5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11, -345, 0, 66, -2.\nAnswer: -345, -11, -2, 0, 7, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8878 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 123. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 600, -236, 2, -3, -5, -1 in descending order.\nAnswer: 600, 2, -1, -2, -3, -5, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327.9 - -327.872. Which is the nearest to 1\/3? (a) r (b) 5\/4 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 11) in base 9?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037183 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22\/(i*((i\/(i**2*i))\/i)\/i) assuming i is positive.\nAnswer: i**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1001010011001100111 (base 2) to base 16\nAnswer: 4a667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/(3\/72). Let o = 7 + r. Let x(j) = -j**2 - j + 1. Let c(i) = -2*i**2 - 2*i + 2. Determine o*x(q) + 3*c(q).\nAnswer: -q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -17 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + (-5)\/2)*-30. Let w be (-2)\/9 + (-235)\/b + 2. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 5921344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*1*12\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:07 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*w + 0*w**2 + 8*w**5 - 47*w**6 + w**2 - 8*w**5 + 368*w**6 wrt w?\nAnswer: 38520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186060 - 9*m**2 + 1186060.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmssvvvvsss. What is prob of sequence vm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:01 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-114)\/27)\/(8\/(-12)) - 5. Let v = -3.1 + 0.1. Let g = v - -3.5. What is the second biggest value in w, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23442251 + -0.03.\nAnswer: 23442250.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20, -2\/7, -2, -3\/23, -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4860) - (sqrt(4860) - sqrt(4860)*2) - sqrt(4860))*-2)\/(sqrt(432) + (sqrt(432) - 2*sqrt(432))*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -275*s**4\/3 + 25*s**3\/6 + s**2\/2 + 292*s. Find the second derivative of v(w) wrt w.\nAnswer: -2200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1070*v**5\/7 - 458*v**4 - 3198*v**3\/7 - 1058*v**2\/7 + 4*v\/7 = 0. What is v?\nAnswer: -1, 0, 2\/535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/120 + 20*z**3\/3 + 158*z. Let m(y) be the second derivative of s(y). Let p(i) = 5*i - 19. Calculate p(m(w)).\nAnswer: 5*w - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 12, w: 4}. Give prob of picking 2 o and 1 q.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000566286 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.5 + 96. Let i = -129 + z. Let l = 5 - 5.4. Which is the second smallest value? (a) 4\/7 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -33. Is 113\/10 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2748*l**6 - 3*l**2 - l - 203 wrt l.\nAnswer: 329760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4 + 233*l + 243*l - 475*l - 2. Suppose -3*q + 144 = -5*n, -4*q = -0*n - n - 39. Let k = -22 - n. What is a(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m + 215. What is k(-23)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-1 - sqrt(12))\/sqrt(4) + -3.\nAnswer: -10*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 13*c + 10, 5*z = -c - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = o, -h = -5*o - 54. What is the first derivative of 36*x**3 - 69*x**3 - 1 + h*x**3 wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 7. Let b(o) = -19*o - 20. Let t(h) = 2*b(h) - 7*c(h). Find the first derivative of t(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13403 (base 5) in base 10?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let d be m\/1 - -3 - -4. Let b(y) = -8*y + 9. Let w(v) = -2*v + 8. Let n(f) = -f + 8. Let t(l) = -5*n(l) + 6*w(l). What is d*b(r) - 7*t(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102100 (base 3) in base 7?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015166 divided by -53?\nAnswer: 38022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, t: 1, v: 1, o: 6, f: 4, b: 2}. Give prob of sequence bvit.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1028 by 195117.\nAnswer: -1028\/195117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46518245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*w**2 + 1382*w**4 + 0 + w**2 + 1377*w**4 + 2*w**3 - 2757*w**4 in the form z*w**4 + j*w**2 + g*w**3 + i + t*w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 divided by -197?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to 901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*982\nAnswer: -2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 17*m. Is m smaller than -3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 109 + (-105)\/49 + 2\/14. Let h = o + -23. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, 1\/6, -2, 51?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153817576.\nAnswer: 2, 11, 787, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 523 divided by 1\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2)*((p**(1\/21)\/p)\/p)\/p)\/(p*(p\/(p\/(p\/(p*p*p**(-1\/3)))))\/p*p)**(5\/8) assuming p is positive.\nAnswer: p**(-37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*c - 2*o, -2*c = 2*c + o. Suppose 7 = i - c. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/5*14499\/2685\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2045 = 5*r. Let m = r - 203. Suppose -4*x + 2*k + m = 0, -3*x + 97 + 54 = 2*k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-60) + -15 + 20)*(5 + -14)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose 7*j = -b + 2*j - 25, 4*j = -5*b - 20. Suppose b*n = 3*n - 24. Calculate the remainder when n is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -15\/2*x**2 - 42*x + 0*x**3 - 5\/6*x**4 + 0. Find the first derivative of s(i) wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 6129*f + 42858. Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Let g(v) = 4*v**2 + 5. Let w(s) be the second derivative of -5*s**4\/12 - 3*s**2 - 2*s. Let n(u) = 6*g(u) + 5*w(u). Give n(a(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 159 = 2*i + 258, -5*h + 90 = -5*i. Solve 0 = -3*u - 2*j - 7 + h, -1 = -j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -263?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 898 in 245, 4, -12?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*g - 178201 = -1311*g - 1592*g for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9403 + 14480. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -754 and 0.07?\nAnswer: 754.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 65 = 4*c, -2*c - 5*j = -4*j + 31. Is ((-50)\/6)\/(5\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169, -168, -167?\n\"Answer: p - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -83?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(f - 6 + 6)*(f**3 + 2*f**2 - 2*f**2)*(70 - 88*f - 82*f + 171*f + f + f - f + (3 - 7 + 3)*(6*f - 2*f - 5*f)).\nAnswer: -6*f**5 - 140*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78931741\/9224 + -1832\/1153. Let o = m + -8545. Let i = 1999\/609 - -2\/609. Calculate the common denominator of i and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 + 322. Let d be b(0). Let y = -190 + d. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -370? (a) 0.4 (b) 14\/5 (c) 1\/3 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 2*p**2 + 21*p + 18. Is 44 a factor of d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eel when three letters picked without replacement from {l: 3, e: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888568144.\nAnswer: 2, 118035509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 142936*x + 14579458. Give u(-102).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z + 23. Let j = z - 8. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**3 - 5*g**3 + 5*g**3)*(6 + 0 - 5) + (-21*g**2 + 21*g**2 - 11*g**3)*(4 + 3 - 5) to the form h*g**2 + n*g**3 + f + u*g and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/15 (b) 0.36 (c) 245\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46\/47? (a) -5\/3 (b) 1 (c) 2 (d) -2.6 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 60649445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 - 2*d - 2. Suppose -2*u - 3 = 1. Let z be a(u). Is -3 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -470*w. Let n(u) = -5*u**2. Determine d(n(c)).\nAnswer: 2350*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 29*s**3\/3 + 9*s**2\/2 + 33*s + 17. Is f(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -96 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - 8. Let y(d) = d**2 + 8*d - 9. Let u be y(-9). Suppose -2*k + 2*q - 20 = 0, k = -2*q - u - 1. What are the prime factors of b(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v, 4*o - 2*v - 4 = 10. Let f(g) = g - 5. Calculate f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 499 by 4.\nAnswer: 499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:10 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4)*-1*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142786645*w**4 - 172129960.\nAnswer: -571146580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 12*g + 22. What is the lowest common multiple of o(10) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/8659 and -107\/363678.\nAnswer: 363678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**3\/3 - 5*d - 7. Let g(b) be the first derivative of f(b). Determine g(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.912mg to nanograms.\nAnswer: 540912000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55) + sqrt(660)\/sqrt(300)))\/(-2*-1*sqrt(180)).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 + (-2 - -1) - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1372554 times 5\nAnswer: -6862770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320178331.\nAnswer: 71, 18594061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Suppose 4*d + 1 = 409. Let u(z) = -d*z - 92*z + 124*z. Give u(b(q)).\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(91\/84))\/(2*1). Let t be (f*(-72)\/80)\/(2\/10). Solve 13*p - 4*p = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = -4*w + w, w - 25 = -5*g. Suppose u + 4*u = w. Let f(i) = i**3 - i**2 - 2. What is f(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 4792788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1480*i - 4657*i - 174 - 3723*i + 174)*(-2*i**2 + 2*i**2 - 3*i**2).\nAnswer: 20700*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 + 1. Let t be z(1). Suppose u = -2*u - t, -u - 14 = -3*r. Solve 17 = -r*p - 2*n - 7, -2*n = p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 16. Let j = m - -16. What is the second biggest value in -3, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - (-444)\/(-20). Let x(g) = -g**3 + 7*g**2 + 5*g + 9. Let s be x(7). Let i = o + s. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*i + 2*w + 3, -3*w = -3*i - 18. Let s(l) = 2*l**2 + 3*l - 6. Let t(h) = 2*h**2 + 2*h - 5. Give i*t(x) + 2*s(x).\nAnswer: -2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 12*u + 10. Is k(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmvvwwwwwvwvww. What is prob of sequence vvm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 0 + 6*n + 0.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 4*b**2 + 3*b - 2. Let u = 3 - 7. Let j = u - -6. What is the units digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 428609 = -96593 + 103449. What are the prime factors of g?\nAnswer: 3, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 1. Let g be (-6)\/18 + 20\/6. Calculate the lowest common multiple of j(g) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*j = 2*j + 76, x + 2*j - 34 = 0. Suppose 3*v - x = -3*v. Let y = 0 + v. Solve 4*f - 4*u = 0, 3*u - u = 5*f + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23816.\nAnswer: 2, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**2 - 6*c + 5. Let t be l(3). Let g = 2 + t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - -0.37. Which is the nearest to 84? (a) l (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/3 - 21*d**2 + 3*d + 467. Give m(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 171256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 - 13 = 0. Let k(p) = -4*p + 3*p**3 + p**3 - 7*p**3 - 4 + 4*p**2. Let c(m) = -7*m**3 + 9*m**2 - 9*m - 9. Calculate n*c(s) + 9*k(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*r + 90, -244*r = 5*l - 241*r + 54 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - -15) + -6 + 4357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a6 - -9?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = l + 12, -199*y + 64 = -213*y + 2*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*7\/((-63)\/6). Let g be (-3 - 20\/l)*-10. Solve -p - 9 = 5*x, -g*p = -5*x - 5 - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.904 to the nearest integer.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149525 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 18.3. Let d = u - 0.1. Which is the biggest value? (a) d (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-6 + 3 + -5). Suppose 6*x = 21 + b. Suppose -2*p = 3*l + p - 198, 0 = -x*l + 3*p + 362. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 - 355 - 241)*(-4*q**3 + 3*q**3 + 0*q**3 + q).\nAnswer: 779*q**3 - 779*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 - b**3)*(4*b**2 - 2*b**2 + 0*b**2) + (39*b**4 - 753 + 753)*(-2*b + 4*b - 4*b) - 2*b**5 + 4*b**5 - b**5.\nAnswer: -79*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1173 (c) 18 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242717408 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 79 + 25 = 0. Solve -5*d = 4*c + 15, o*d = 9*d - 5*c + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4812454m to nanometers.\nAnswer: 481245400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007*q**2 + 507*q**2 - 1 + 538*q**2.\nAnswer: 38*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5377 + 5373. What is the biggest value in 1\/3, -14, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 2, h: 3, s: 6}. Give prob of picking 2 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*z - 7 - 1, 0 = 3*a + z - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*c**3 - 85 + 85 + c**3 - 2*c**3 - c**3 + (-2*c**2 - 2*c**2 + 2*c**2)*(5 - 5 + c).\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7281*k*u**4 + 2*k*u**3 + 51259*k wrt u?\nAnswer: 29124*k*u**3 + 6*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*z - 3984*z - 971*z.\nAnswer: -4577*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + ((sqrt(17) - sqrt(153)*2) + -4)**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 76.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5179798 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - (0 - (7 + -8))) - (-79 - -36)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y. Let n = 243 + -246. Let c(m) be the first derivative of 4*m**2 - 1. Let h(s) = n*c(s) - 2*l(s). Let v(k) = -2*k. Determine h(v(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*t - 115 = 0, -4*q - 2*t - 21 = 97. Let g = 6 - q. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/4 + (-1)\/4. Let r(p) = 8*p + 2*p + j*p. Let w(k) be the first derivative of 2*k**3\/3 + 10. Give w(r(z)).\nAnswer: 392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 648495?\nAnswer: 4539465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114505.08 nanoseconds to minutes.\nAnswer: 0.000001908418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/11403 and 52\/21.\nAnswer: 11403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -64*r + 1. Let a = -66 - -56. Is g(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 28. Let s(w) = -42*w - 29. What is the remainder when s(-2) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.35 - -8.35. What is the second smallest value in j, -3\/2, -522?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 52. Let h(y) = -3*y + 52. Let t(w) = 4*d(w) - 3*h(w). What is the derivative of t(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:07 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55633 - 54247 = -63*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 12\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13459044229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 - 5\/(-2))*-4. Suppose c = -2*y - 3*y - 90. Is 10483\/6 + 3\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -1 (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, -2\/13, -4, 0.3, -2.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2086112454 rounded to three decimal places?\nAnswer: 1.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101623091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 3*a - 14195 = 4*a - 14198, 0 = 4*p + 2*a + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/68)\/(805\/(-805))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.440629m to nanometers.\nAnswer: 2440629000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -392*g**2. Let x(b) = 144*b**2 + 9*b - 9. Let h(i) = -17*i**2 - i + 1. Let t(k) = -9*h(k) - x(k). What is q(t(v))?\nAnswer: -31752*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88\/9 + 98\/9. Is 2 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*r = -0*g - 3, -2*g = -3*r - 6. Let z(u) = u**3 - 10*u**2 - u + 13. What is the least common multiple of g and z(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:39 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2 - 1744*m - 380192 = 0.\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*c - 2*n + 86, -n = 0. Suppose -15 - 24 = -3*m. What is the remainder when c is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:17 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 589830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.277873 millennia in years?\nAnswer: 8277.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*y + 13*y + 29*y + (4*y + 0*y - 2*y)*(3 - 1 - 3) - 3*y + 351 - 2*y - 335 + (0*y - 2*y + 0*y)*(1 - 4 + 1).\nAnswer: 57*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 7:40 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/29, 56, -0.4?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20) + 305\/854?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 97. Does 16 divide s + ((-2)\/(-1) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/986 and 1\/29.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/1)\/(((1254\/(-88))\/19)\/(63\/(-28))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 1697749*k**3 + k.\nAnswer: 1697749*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29613936, -59227865, -88841786, -118455699, -148069604, -177683501, -207297390?\n\"Answer: 4*d**2 - 29613941*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 122*s - 533. Does 10 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215*a - 6*a**3 + 2*a**3 + 2*a**2 + 207*a)*(-4 - 3 + 5)*(a - a - 5*a).\nAnswer: -40*a**4 + 20*a**3 - 80*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -0.3, 32\/10667, 2\/149.\nAnswer: -0.3, -2\/7, 32\/10667, 2\/149, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*5)\/(7\/14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234 or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7531.45 + 7531. Suppose -5*y = -5 - 5. What is the third smallest value in y, r, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102281512*k**4 - 5*k - 25767?\nAnswer: -1227378144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1960.45 + -3.55. Let c = u - -1913. Let r be 1\/1 + 2\/(-6). What is the nearest to c in -5, r, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 2618579190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 12, -q + 98 = 2*j. Let s = q - 80. Suppose s = -4*l, i + 2*l = -3*i - 6. Sort i, 2, 0.1, 4 in decreasing order.\nAnswer: 4, 2, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/24)\/5*6\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*y**2 - 71*y**2 - 32*y**2 - 75*y**2 - 90*y**3 + 91*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*r - 322 = -3*t, -5*r = 3*t - 450. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672 = -105*v + 147*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 663 + -2800a?\nAnswer: -27787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.0014\nAnswer: 0.0986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003070236637 rounded to 7 dps?\nAnswer: -0.0030702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0.62, -2\/9, -2\/13 in decreasing order.\nAnswer: 1, 0.62, -2\/13, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 3*s, -s - y - y = 0. What are the prime factors of 179 - 1 - (s - 9)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 4*a**2 - 6*a + 7. Is 16 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.3. Suppose 5*w = -w + 12. What is the third biggest value in w, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(((a**(-12)*a)\/a)\/a*a))\/a)**(-20\/3))**40 assuming a is positive.\nAnswer: a**(-10400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*g*i**4 + 5753034*g*i**3 + 50*g*i**2 - 6*i**2 - 16091 wrt i?\nAnswer: 864*g*i + 34518204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 826621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s + 67. Let v = s + 48. Calculate the remainder when 46 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 16919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3388 by 4.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -0.3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 57?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3)*(-4 + 0). Let v be (-1 - 0)*1 - -7. Suppose 2*q - r*q = -v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.6, -0.126, 1.1, 0.1.\nAnswer: -0.126, 0.1, 1.1, 2, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*q - 14196 = -0*q, 0 = 5*u - q - 23636. Suppose -4*b + u = 4*b. Suppose 9*w + 141 = b. What is the highest common divisor of 150 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30878*r - 420898 with respect to r.\nAnswer: -30878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*i - 4*v + 13, -3*v = -12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-4)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v - 4*v**2 - 34 + 46 + 14*v.\nAnswer: -4*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (68 + -24)) + -3 + (12 + -2 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2 + (3 - (-5 + -399))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/(-13))\/((-10)\/(-4)). Let q = 11576 - 520961\/45. Let x = q - g. Sort x, 1\/4, 0 in increasing order.\nAnswer: x, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 3, h: 1, x: 6, q: 3, d: 5}. Give prob of sequence xhqd.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 - -3) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*o + 5*c, 0 = -0*o + 3*o - 2*c - 80. Let y(d) = d**3 + d**2 - d + 12. Let t be y(0). Let k = 10 - 6. Solve -k*i + t = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 81*x - 79*x. Let k = -7 - x. Let w(y) = y**2 - 6*y + 3. Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2912 - -14558\/5. What is the biggest value in 2\/11, 7.3, -5\/4, -0.5, l?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 729. Suppose n + 887 = 2*a. Is (-1)\/4 - a\/(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 0*g**3 - 2*g**3 + (-3*g + 0*g + g)*(g**2 - 2*g**2 - g**2) + 2*g**3 + 0*g**3 - 3*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d01d (base 16) to base 12.\nAnswer: -8a825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91*(-1)\/(-14))\/((238\/196)\/17).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.93989 rounded to 3 dps?\nAnswer: -3.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) -13 (b) 1 (c) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1388, 1429, 1470, 1511, 1552, 1593?\n\"Answer: 41*v + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 371.3 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9871767 days?\nAnswer: 85292.06688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2097 and 505144?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/81579 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from suuuesuuuuuueus?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 + 2*d**2 - 2 + 2. Let y(c) = -3*c**2. What is f(y(v))?\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 35. Suppose 5*t = 2*r - i, 8 = 5*r + 3*t - 34. Suppose 4*u - 112 = -13*k + r*k, -8 = -u + 3*k. What is the remainder when u is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295 (base 14) to base 7.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*p = 14, -2*s + 4*p = -280 + 268. Let t = 4 - 3. What is the smallest common multiple of 4 + 0\/(t + -2) and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*r + 4. What is the remainder when 32 is divided by 22\/(-3)*r\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/60 - (-2)\/(-8). Let j(g) = g - 3. Let k be j(3). Let x(q) = -q**3 - q**2 + 2. Let n be x(k). What is the biggest value in 3, n, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 4*a**2 - 3*a - 3. Let m be w(5). Let j(k) = -m*k - 7*k + 6*k - 7*k. Let t(c) = 7*c. Determine 3*j(d) + 7*t(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfsfcrfrfb. Give prob of sequence sf.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let w = 4 - k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3 - 2 - 17*x**2 - 3*x + 16*x**2 - x. Let s be o(-2). Suppose -3*k + 104 = 4*j, 4*k - s*j - 87 = -0*j. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -7\/2*j**3 + 1\/2*j**2 + 0 + 5*j. Is 22 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8982664733?\nAnswer: 7, 569, 2255251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(9\/(-54)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39308, -39294, -39256, -39182, -39060?\nAnswer: -38878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.051 - 0.149. Let m = -0.02 - 4.98. Sort 5, m, k in increasing order.\nAnswer: m, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43522 is divided by 190?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -2*d, -15*d + 12*d + 4 = f. Suppose -11 - 17 = 4*h. Let o = f - h. Put o, 5, 0, -3 in descending order.\nAnswer: 5, o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 1, x: 2, a: 2, b: 1}. Give prob of picking 2 x, 1 b, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12705 - 13671 = -42*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432159.4 nanoseconds in seconds?\nAnswer: 0.0004321594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33280534?\nAnswer: 2, 7, 109, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqqq when four letters picked without replacement from {r: 4, q: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66455141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3847 + -3847.0000009441. What is q rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*j**3*k**3*t - j**3*k**2*t*v - 5*j**3*k*t*v + 1589*j**3*t - 12204*j*k**3*t - 2*j*t - 4*k**3*v + k**2*t + k**2 - 4*v wrt k?\nAnswer: 414*j**3*t - 73224*j*t - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 4*i. Let a be y(-3). Let m be 5 - ((-4)\/16*0)\/1. Solve a*b + m = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.9367 centuries in millennia?\nAnswer: 69.39367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:52 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/4*-1 + 444\/48. What is the third derivative of -39*h**2 - 38*h**2 - a*h**2 + 71*h**3 wrt h?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3 - 3*a + 31 - 27 - a. Determine o(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1624 (base 8) to base 13\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.012 - -32.088. Let h = z - 33. Let k = h - -0.6. Which is the closest to -1? (a) -0.1 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 17*z**2 + 31*z - 20. Is a(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 - 2. Let b(z) be the third derivative of z**6\/60 - z**5\/30 + 5*z**3\/6 - 3*z**2. Calculate -6*b(r) - 14*y(r).\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3385, -13772, -31133, -55468, -86777?\nAnswer: -125060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 30 = s. Let f = s + 0. Let t be (-46)\/(-10) - 4\/f. Solve 5*z = 2*w - t, -3*w - 20 = 5*z - 2*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349703832 a multiple of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 - 7*a + 4. Calculate t(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1759017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -489*b*h - 241*b - 3*h**2 - 6*h + 22 wrt h?\nAnswer: -489*b - 6*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 8*s - 3. Calculate d(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - k + 3 = 4*i, 0 = 3*i - 4*k + 2. Let o = i + 7. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.479122l to millilitres.\nAnswer: 3479.122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5.2 (b) 2\/3 (c) -2\/3 (d) -55 (e) -3\/5 (f) 2\/35 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 (base 12) in base 7?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*g + 0)*(-2 + 2 + g) - 909*g**2 - 92*g**2 + 77*g**2 - 616*g**2.\nAnswer: -1543*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/8, -34, 136, 1\/2?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -403, -368, -287, -142, 85?\n\"Answer: 3*w**3 + 5*w**2 - w - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7746934 or 7746940?\nAnswer: 7746940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1556, -3111, -4662, -6209, -7752?\nAnswer: -9291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 - 84*l**3 + 43*l**3 + 1 + 42*l**3 + 2*l - 2*l**4 to m*l**3 + u + n*l**2 + g*l**4 + t*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 176, 279, 382, 485?\n\"Answer: 103*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113621268 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k + 34. Determine f(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 - 2*t - 1. Let w be h(2). Let f = 0.09 + 14.91. Let r = 15 - f. What is the smallest value in 0.5, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + 7 + (-3051)\/585. Find u, given that p*u**2 + 0*u + 2\/13*u**4 + 0 + 12\/13*u**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-4)\/sqrt(8) + sqrt(143)\/(1*sqrt(11)*2).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1330\/9 + 148. Suppose 4\/9*t**3 + w*t**4 + 0*t + 0 + 2\/9*t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b3c (base 14) in base 10?\nAnswer: -4954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*-3*3)\/(sqrt(588) + (sqrt(588) - (sqrt(588) + sqrt(588)*-1)) + sqrt(48)\/(sqrt(4) - sqrt(64))).\nAnswer: -189*sqrt(3)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + 0 + -2 - 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1225412 (base 6) to base 10.\nAnswer: 66032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Find the third derivative of 2*z**3 + l*z**2 - 2*z**3 - 6*z**2 + 2*z**3 wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 404188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/40*5\/(-17). Which is the nearest to 2\/9? (a) m (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x. Let w(v) = -2801*v**2. What is p(w(l))?\nAnswer: -67224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(7 + -3))\/1. Let l = -7 + 12. Find the second derivative of 3*x**3 + 3*x + 0*x + f*x**3 - l*x wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5 + 4*99\/72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 24 = 7*l. Let k = -514 - -536. What is the smallest common multiple of l and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -15. Suppose -38 = -5*v + 3*l, -i*l = -2*v - l + 12. What is the lowest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 + 103.061. Let z = -68.061 + l. Let a = z - -68.0000111. What is a rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233763.\nAnswer: 3, 67, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = -3*i, 5*j + 21 = -0*i - 2*i. Find the third derivative of 18*b**2 - 2*b**3 - i*b**2 + b**3 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34849*b + 63 = 34856*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106073791 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c - 9. Let s be l(5). Suppose -3*q + 0*q + 3*d + 9 = 0, -q - 5*d - 3 = 0. Solve 0 = -p + q - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14*b\/(b*b**(2\/73))*b*b*b**(-2\/59)*b*b\/(b**(-7)\/b)*b assuming b is positive.\nAnswer: b**(116025\/4307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/120 + r**5\/60 + 5*r**4\/12 - 5*r**3\/3 - 52*r**2 + 4*r. Determine t(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 24. Let x = 12 + y. Suppose -3*z - 2*l + 12 = -2*z, 3*z - x*l + 19 = 0. Solve -3*f + 2*i = -15, 0 = -z*f - 5*i + 1 + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 5620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 10*p + 35*p)*(-3 - 4 - 4)*(p**4 + 5*p**4 - 5*p**4 + (2 + 3 - 3)*(-2*p**4 + 3 - 3)).\nAnswer: 660*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*k - 97, 2*k + 3*k + 15 = 0. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from ggxnwgwgxngg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 883465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -68*j - 102. What is n(-6)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237 is divided by 3219?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -33248 and -33832 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = f - 2*o, o - 32 = 2*f + 22. Let i = f - -32. What is the highest common divisor of 12 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0 + (sqrt(68)*3 + sqrt(68))\/sqrt(4))**2 + (sqrt(153) + sqrt(153)*1 + 4 - (0 + 1*sqrt(153))**2))*-2.\nAnswer: -1878 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -413841\/26 - -15913. What is the common denominator of 7\/2 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + 9. Let o(a) be the third derivative of -19*a**5\/60 + 70*a**2 + 4. Give o(b(y)).\nAnswer: -684*y**4 - 2052*y**2 - 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s + 24. Let m = -27 - -27. Give j(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2394 - 2407. Which is the second smallest value? (a) s (b) -2\/65 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.104*0.04\nAnswer: 0.00416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -4 - -7 - (1 + -3). Suppose z = -0*w + 2*w + 20, 3*z + 39 = -5*w. Let u = 37\/4 + w. What is the closest to a in 4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -14*x**3\/3 + 1. Let a(r) = -32*r - 7*r + 72*r - 28*r. Give k(a(f)).\nAnswer: -350*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**2*r**3 + 57*p**2*r - 2*p*r**2 - 294*r**3 - 2 wrt p.\nAnswer: -4*p*r**3 + 114*p*r - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 91. What is the remainder when 23 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738457?\nAnswer: 738457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 95*n - 123. Calculate the remainder when d(4) is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/1501 (b) -4\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10615\/364384*(-1 + 5) and -95\/12.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1476265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 - 3*x - 5. Let s be b(-4). Suppose -13*l + 8*l = -s. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x*x*x*x\/x**(-1\/12)*((x\/(x*x*x**(-23)))\/x)\/((x**(3\/2)*x)\/x))**(-37) assuming x is positive.\nAnswer: x**(-10471\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-1 - (1*sqrt(320) + sqrt(320)) - (0 + sqrt(125) + 0 + 2 + sqrt(125)*-1))**2*-4.\nAnswer: -5796 - 272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425\/(-35) + 12 - (-28506)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*w - 124 + 46. Calculate the greatest common factor of w and 271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -507896*w - 248171 wrt w?\nAnswer: -507896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.15 (b) 1711 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*g - 11 = 0, 2*b - 4*b + 1 = 5*g. Let h = b + 1. Let n(y) = 91*y**2 + 3*y - 6*y - 90*y**2 - 4. Determine n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 507 = 9*s. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from pkkkkkkkpkpkpp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 3*h + 16. Does 22 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. Suppose -3*t + 2*p - 15 = 0, 5*p - 16 - k = 2*t. Is (33\/9)\/((-1)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -96)\/(29\/1769)?\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 2*b**4 + 2*b**4)*(-4*b - b + 6*b) + 4*b**5 + 5*b**3 - 967*b**5 - 5*b**3 - 277*b**5.\nAnswer: -1239*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 9)*(0*y + 2*y - 3*y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*(s*s*s**6)\/s)*s)*s*s**(1\/5)*s)\/(s*s**1)**(-5\/2)*(s*s**0*s\/(s**1\/s))\/(s\/((s**(-2\/3)\/s*s*s)\/s*s)*s)**(-1\/35) assuming s is positive.\nAnswer: s**(1706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -120?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*i + 130*i - 379*i + 124*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (820\/(-70) + 10)\/(496\/3906)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20, -1\/8, 2, -1\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. Suppose -r*u + 6 = 38. Let s = u - -34. Calculate the remainder when s is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*y = -28, -4*y + 40 = -5*h - 4. Let d be 12\/h*(-8)\/6. Which is greater: 2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0624 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.69 times -0.72\nAnswer: -4.0968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 4*g. Let j be k(-6). Suppose -35*s - 229 = 91 - 180. Sort j, s, 0 in decreasing order.\nAnswer: j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 331175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 2 = 0. Let u be 1 - -1 - (x - 1). Suppose -u*b + 2 + 0 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945928 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 2. Let b be o(-5). Let d = 3 + b. Let n be (-11)\/(-2)*12\/(-22). Sort -4, n, -2, d in descending order.\nAnswer: d, -2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 20*g**2 - 22*g - 39. Let n be a(-21). What is the remainder when 45\/4*80\/6 is divided by (-19)\/(-2 - n\/12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166228352?\nAnswer: 2, 53, 107, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 16345902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 647, 828?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.53 - -2.13. Which is the nearest to 3? (a) 0.1 (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -328, -748, -1172, -1600, -2032, -2468, -2908?\n\"Answer: -2*j**2 - 414*j + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 120 = -5*l. Factor -50*d**4 + 16*d + 3*d + 5*d - l*d**3 - 8 + 22*d**2.\nAnswer: -2*(d + 1)**2*(5*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19136 and 184.\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -59902296\nAnswer: -5\/59902296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4608*f**4 + 2*f**3 + 3*f - 4*f - 2 - f**2 - 4610*f**4 to the form m*f**3 + x + c*f**2 + d*f**4 + g*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.071, -2\/9, -8, -740, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m - 2. Let h(r) = 1962*r**2 - 35970*r - 6540. Determine -h(g) + 3270*j(g).\nAnswer: -1962*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 8. Find the second derivative of c**2 + 72*c - 69*c - m*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**3 + 110*b**2 - 19*b + 1235. Let t(r) = 27*r**3 + 202*r**2 - 35*r + 2470. Let f(g) = 11*p(g) - 6*t(g). Differentiate f(x) wrt x.\nAnswer: -24*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 0) + -2 + 2. Differentiate x - 15*u**2 + u**4 + 15*u**2 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1673, -777, 2679, 8701, 17295, 28467, 42223, 58569?\n\"Answer: f**3 + 1274*f**2 - 2933*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = -7. Let v be 18\/4*(-18)\/s. Suppose -h + 65 = v*y, 5*h - 80 - 215 = -5*y. Calculate the greatest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:57 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -820, -2842, -6836, -13474, -23428, -37370?\n\"Answer: -112*b**3 + 22*b**2 - 4*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1, -1\/8, 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-9) + (-12)\/(-54). Find the second derivative of 4 + 5*x**w + 5*x - 4 - 6*x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(162)\/sqrt(9) + sqrt(18)) - sqrt(2) - (sqrt(162)*5)**2) + -3.\nAnswer: -4053 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204164 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n**2 - 4453*n + n**2 + 9 + 4473*n. Calculate the remainder when 296 is divided by g(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 81. What is d(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 52*d + 66*d + 11960 for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(171\/(-21))*(-4)\/(-14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -cd?\nAnswer: e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4514, 23165, -5 in decreasing order.\nAnswer: 23165, 4514, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -25, 31, 139, 317?\n\"Answer: 3*a**3 - a**2 + 4*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*l + 16 = 0, 0*z - l = 4*z - 17. Suppose -q - 3*q - 25 = 5*p, 0 = -q - z*p - 20. Is (2 - q)\/(1\/107) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (583\/(-1749))\/((-1)\/(-147)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402894 is divided by 776?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2224 = 2*x - 4*n, -x + 544 = 5*n. Suppose 2*m = -4*a - 3*m + x, -a + 134 = -m. Suppose -25 + a = 3*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (92\/(-253))\/(6\/(-1551)) is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7197 is divided by 7189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*j - 27. What are the prime factors of (-46)\/(-4) - j\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*m + 46*m - 5701 + 691 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13151532743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1\/659, -40\/3?\nAnswer: 1\/659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t**(-8))\/t*t)\/t)\/((t\/(t*t\/t**(-4)))\/t)*t**29*t\/t**(-8\/5))**11 assuming t is positive.\nAnswer: t**(1683\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 8*a + 3. Let f be p(-5). Let y be (99\/f)\/((-9)\/96). Let n = -60 + y. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -55. Which is the nearest to -1\/2? (a) -5 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*b - 2*y, 0 = -5*b + 6*b - 2*y - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:39 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, w: 1, x: 1, m: 3, f: 1}. Give prob of sequence jm.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 18. Let o be y(-9). Let x = o + -54. What is the derivative of -12 - 21*g**3 + x - 17 wrt g?\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(72)*-1 - 3*(-2 + sqrt(2))) + (sqrt(2) - 2*sqrt(32)) + (sqrt(72)*-2 - sqrt(72)) + sqrt(2))**2 + 1.\nAnswer: -240*sqrt(2) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4691672969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -329. Let h = r + -148. Is 1.2 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2301 = -507*b + 2769 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1 (c) 1\/48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*g**2 + 40623*g - 148720910 wrt g.\nAnswer: -566*g + 40623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(0 - 1 + 0) + (-38*d + 141*d + 88*d)*(2 + 2 - 2).\nAnswer: 383*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*a**2 - 19*a - 95 + 1099*a**3 + 19*a + 97 - 25*a**2 wrt a?\nAnswer: 6594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*s - 81 + 67, -4*x = 2*s - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -5 - 21\/7. Let i be g\/2*(-1 + 9). Suppose -5*y - t + 23 = 0, 5*y + 6*t - i*t - 21 = 0. Calculate the remainder when 13 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 4\/17 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 15*a**2 - a - 12. Let x be q(-15). Suppose x = 3*u - 36. Is -13 + u - 1*-431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626 - 628. Let n be t\/(18\/597) - 5. Is -72 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11115 - -12306. What is the remainder when o is divided by 392?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 3*p + 3. Suppose 0 = 36*h - 31*h - 75. Suppose h*v = 5*v + 20. Let q be a(v). Solve 5 + 5 = q*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -381654*v**2 + 672*v + 224. Let w(s) = 10315*s**2 - 18*s - 6. What is -3*h(j) - 112*w(j)?\nAnswer: -10318*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 617, 485, 337, 167, -31?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*p - 321, 4*p = 5*n - 4*n + 627. Which is greater: p or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.3, 70, -5?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 2*z, z + 4 = x + 4*z. Let r(o) = -5 - x + 5 + 2*o**2 - o. Suppose -t - 2 = -3, -5*k - 12 = -2*t. Calculate r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 1 + 1 + (4*b + b - 6*b)*(-2 - 2 + 3))*(2*b + 3*b - 6*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -37\/3*u**3 + 57*u + 18*u**2 + 0. Differentiate q(m) wrt m.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*z**3 - z**2 + 1162*z + 1320931?\nAnswer: -57*z**2 - 2*z + 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.01 (b) 10 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*d**2*z**4 + 2106*d**2 - 48*d*z**2 - 83654*z**4 wrt z?\nAnswer: -864*d**2*z - 2007696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-11826))\/((-12)\/(-72)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -4, -1, 0, -7, -28?\n\"Answer: -m**3 + 8*m**2 - 18*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**3 - 548*f**2 - 872*f + 352.\nAnswer: -4*(f + 2)*(f + 44)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 - 9*t**4 + 21*t**3 + 21*t**2 - 54*t + 24 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 5748*j**2 - 34660*j + 40404.\nAnswer: 4*(j - 1443)*(j - 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -59220124\/5, 5, -0.4 in decreasing order.\nAnswer: 5, -0.4, -59220124\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 q when four letters picked without replacement from {k: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97656737 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*s**3 - 335 - 16*s**2 + 335 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 22*p + 0 - 2*p**2 - 1\/20*p**5 - 3\/4*p**4 - 5\/2*p**3. Let c be k(-7). Solve 7 = -c*j - 5*r, 0*r = 5*j + 2*r + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d**2 + 34*d. Let x be b(-17). Is -2889 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvav when four letters picked without replacement from {v: 5, y: 5, a: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.664 - -0.364. Let c = t + 15.30079. Round c to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.21 + 1.96. Let z = 0.5 - -0.35. Let r = z - p. Round r to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 - 10661*c + 10661*c)*(4 - 4 - c**2 + (-4*c**2 + 4*c**2 + c**2)*(2 + 3 - 3)) to v*c**4 + j + x*c**2 + s*c + h*c**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*1*-2)\/((sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -357*t + 27645. Calculate x(78).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upouopopuouuuuoluudp. Give prob of picking 2 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 3*v**2 + 4*v. Let z be u(-2). Find the third derivative of 21*w**3 - 88*w**2 + z*w**2 + 68*w**2 wrt w.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 454*f + 9. Let v(p) = -68101*p - 1353. What is -902*b(r) - 6*v(r)?\nAnswer: -902*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -3*n - 3*j, 505*n - 501*n = -20*j - 1112 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 + 2*q + 6. What is p(-4)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2. Let l(u) = -u + 1. Let i(j) = 5*j. Suppose -9*w + 7 - 16 = 0. Let p(q) = w*i(q) + 3*l(q). Determine p(a(o)).\nAnswer: 16*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 - 181647687?\nAnswer: -181647684.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16242756 and 246828?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:38 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - v - 1. Let x be y(1). Suppose -7 = -x*j + 209. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4919185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -22, -31, -40, -49?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-90) + ((-1991)\/55 - -37)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*-2*(-2)\/12. Let a be (24\/14)\/(g\/(-21)). Suppose 2*u = 5*t + 73, -27 = 5*t - 2*t + 3*u. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.256 - 0.056. Are -14 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1143 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 65.3. Let n = -13.72 - i. Let x = n + 0.02. What is the smallest value in x, -0.5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 2 - 187*f + 440*f - 6*f**4 - 235*f - f**2 to the form z*f + x*f**4 + n*f**3 + h*f**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 727147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 376*f\/5 + 663138\/5 = 0. What is f?\nAnswer: -277, 1197\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.503 - -0.003. Put 1, 19, p, 2 in descending order.\nAnswer: 19, 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -92\/3. Which is smaller: m or 21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 669645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Suppose 5*j - 2*p + 20 = 0, 4*p + 15 = -5. Let o(m) = 3*m. Let h(v) = -2*v. Let q(u) = j*o(u) - 11*h(u). Calculate q(t(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19057244.\nAnswer: 2, 4764311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 15*x - x**2 + 12*x - 8*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from wsxxgxxhxwxhxhxgxxx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2948)\/28006*(166\/(-60) - 4\/10). Let f be (0 - 2)\/2 + 0. What is the nearest to 1 in f, -4, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 3. Let v be ((-2)\/20)\/(5\/(-100)*-5). Which is the closest to -1\/4? (a) 5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 210. Suppose -a - 265 = -5*l - 5*a, 2*l - x = -3*a. Suppose -226*d - 482*d + 161*d + 9299 = 0. Calculate the remainder when l is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 2*d - 3*d)*(63*d - 39*d + 46*d) to r*d + s + o*d**2 and give o.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9376 + -7150. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 96, 234, -3, -5, 0.18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 8. Let l(q) = 1. Let n(z) = -20*l(z) - 4*o(z). Find the first derivative of n(f) wrt f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 take away -415426577?\nAnswer: 415426882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140 = 455*d + 2229 - 729 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5375 (base 16) to base 8.\nAnswer: 51565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19764, -19792, -19820, -19848?\nAnswer: -19876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-572)\/28 + (30\/21 - 2). Let s = 165 + b. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*k - 72, 0 = -4*d - d - 2*k + 94. Suppose -4*g + 2*n = -116, -g + 2*g - d = 5*n. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*q - 2*f + 1, 3*q + f = 6. Let t(p) = p**2 - p - 1. Let i be t(-1). Put q, i, -4 in decreasing order.\nAnswer: q, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 126*t**5 - 30171*t**4 - 170184*t**3 - 262131*t**2 - 64860*t + 44100 = 0. Calculate t.\nAnswer: -3, -2, -5\/6, 2\/7, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00107618699 to 6 dps.\nAnswer: -0.001076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19572878 - 19572878 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 - 11) + -5)*(-1 + 0). Let o = 31 - i. What is the derivative of 2 + 10*t + 2 - 4 + o wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(80\/(-3)))\/(48\/4)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 8*g**3 - 9*g**3 - g**3 - g**3.\nAnswer: -3*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 108. Let d = w - 19. Which is smaller: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4503*g + 4498*g = 4*a - 212, g + 3*a - 49 = 0. Calculate the smallest common multiple of g and 344.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-6))\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -4. Let g be (-11)\/(-33) + z\/(-15). Let t = 0.048 - 1.048. What is the closest to 1\/4 in t, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 10*g**3 + 17*g**2 + 2*g - 6*g**3.\nAnswer: -16*g**3 + 17*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4168951 kilometers to meters.\nAnswer: 416.8951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1908 = 13*s + 146*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 15647 (b) -5 (c) 0.6 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 - 6*a + 4. Let q be d(4). Let i(h) = -2*h**2 - 4*h - 2. What is i(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, -1\/5, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 68*l**2 + 4*l - 3. What are the prime factors of y(2)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 45 = -2*g, -3*g - 2*v + 133 = -1. Let n be ((-6)\/(-4))\/(3\/48). What is the highest common factor of n and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2888 - 2122. Is 36 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 8*a - 2*a)*(51 + 45 + 1)*(12*a**4 + 8*a**4 - 16*a**4).\nAnswer: 3492*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/28809 and 53\/2310?\nAnswer: 2016630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**(-3))\/u*u\/(u\/(u\/(u**(-5)\/u)))*u)**(-5\/4)*(u*u**1)**4*(u*u\/(u\/(u**(-2\/5)*u*u*u)))**(2\/109) assuming u is positive.\nAnswer: u**(-1491\/2180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/5 - (-44)\/55. Suppose s*g + 5*d - 212 = -2*g, -5*d = -2*g + 136. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 87*h**3 + 216*h**2 + 2004*h + 2400.\nAnswer: 3*(h - 25)*(h - 8)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3\/5 (c) 0.15 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004632 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 1211 = -192*p + 30*p. Solve -3*r + 2*d + 11 = p*d, 0 = -3*r + 4*d - 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44*u = -39*u + 13, 4*l = 5*u + 22. Let c = -15.5 - -0.5. What is the nearest to 0.1 in -0.3, l, c, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 2*b + 3. Suppose -11 + 15 = -2*a. Let l be o(a). Solve 0 = 3*n + l - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 - 9*g**2 - 82*g - 3. Let x(a) = -3*a**3 - 3*a**2 - 29*a - 1. Let r(w) = 6*f(w) - 17*x(w). Give r(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1157063032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1694.52 to the nearest 10.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-2*b**2 - 3*b**2 + 7*b**2)*(0*b**2 + 13 - 5*b**2 + 10*b**2) in the form p*b**4 + z*b**3 + r*b**2 + x*b + i and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(1 - 1 + 2)*(3*w**4 + 2*w**4 + 4*w**4).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - -12?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i**3 - 58*i**3 - 52*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from cttcccccc?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47\/3 + -16. Let j = -85 + 134. Let d be 0 - 0 - (-28)\/j. Which is the closest to u? (a) 1 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n - 6*n**5 + 0*n**4 - 17 + 0*n**2 + 34\/3*n**3. What is the third derivative of r(x) wrt x?\nAnswer: -720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 189*b**2 + 1621*b - 25. What is x(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.65206 milligrams to nanograms.\nAnswer: 20652060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*b = -14, -3*n + 30 = b + 2*b. Let u(m) = 7*m - 39. Let w be u(n). Factor 8*h**5 - 3*h**5 + 180*h**2 - w*h + 6*h**4 - 186*h**2 - 2*h**5.\nAnswer: 3*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -1)*3*2\/18. Suppose -h = u + u + 8, n*u + 11 = -2*h. Let k(i) = i**3 + 8*i**2 - 4*i - 6. List the prime factors of k(u).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17027, 17033, 17053, 17093, 17159, 17257, 17393?\nAnswer: 17573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v + v + (5 - 5 - 3*v)*(3 - 3 + 2) - 2 + 2 - 3*v)*(1 + 3 - 1).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqzzzzzqq. What is prob of sequence zzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-24)*15\/40\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 157.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 165 = -66*z + 42*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9245*m**5 - 1895655*m**4 - 26112175*m**3 + 1217595*m**2 - 14170*m = 0. What is m?\nAnswer: -13, 0, 1\/43, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l + 4*l**2 - l**2 + 3*l**3 + 5 + 16*l - l**2. Let v(g) = -5*g**3 - 3*g**2 - 15*g - 9. Let k(r) = 7*o(r) + 4*v(r). List the prime factors of k(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:55 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12238767797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y\/y**5*y*y**(-3)*y**(-4))\/((y*y*y**(-1)*y*y*y*y*y)**(-7)*y**(1\/3)*(y\/(y*y**(-2\/15)\/y))\/y) assuming y is positive.\nAnswer: y**(479\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337823 - 337819. Let s be (2\/1)\/(1\/(-6)). Let x be (-26)\/(-12) - (-8)\/s. Which is the nearest to -0.1? (a) n (b) 16 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 25*w**2 + 2. Let k be v(-25). Suppose 4*l + 13228 + 39173 = 3*s, -k*s - 2*l + 34934 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-37)\/74)\/((-2)\/12). Let s(d) = -27*d**3 - 5*d**3 - 21*d**3 - d**2. Let r be s(l). Round r to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/9? (a) 6 (b) -3 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 12. Let g be (-184)\/(-16)*(1 - 3). Let b = 32 + g. Let q(h) = -h + 3. What is b*q(z) + 2*v(z)?\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3649 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-5 + (0 - -3)). Solve p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 1, -4, 7, -316, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*3\/6)\/(-8 + 5). Solve -4*a - x - 1 = 17, b = -2*a + 2*x - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*b + 1 = -7, -4*b = -p + 4. Let l = 1.45 - 1.7. Let o = l - -2.25. What is the nearest to -0.1 in 0.1, o, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = g + 149. Let z(f) = -f**2 + 4*f - 3. Let l be z(2). What is the remainder when 66 is divided by g*(1\/l + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 35*g**2 + 21*g - 11.\nAnswer: (g + 1)*(g + 11)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(2200) + sqrt(2200) + sqrt(2200) + (sqrt(2200) - -1*sqrt(2200)))*5)\/(sqrt(110)\/sqrt(90) + 1*sqrt(275)).\nAnswer: -1125*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14837 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + z + 12 = 0, -5*b - 66 = z + 2*z. Calculate the lowest common multiple of (-33)\/b - 1\/5 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 3245 = 12*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 + -11) - (-1 + -1)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 130*d**2 + 3082*d + 1271. Calculate u(-99).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:31 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*z - 5 = -5*z, 2*z = -f + 2. Let u be 2 + -2 - f - 10. Let x(c) = -c**3 - 11*c**2 - 12*c + 3. What are the prime factors of x(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -97*a - 5. Let s(c) = 49*c + 4. Let w(i) = 2*k(i) + 3*s(i). What is w(1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1388, 5529, 12430, 22091?\n\"Answer: 1380*c**2 + c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**5 + 2*o**4)*(-5 + 4 + 7)*(2 - 2 - 12).\nAnswer: -72*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 8. Let d(t) = -t**2 - 7*t - 2. Let r be d(-6). Let p(b) = 2*b**2 - 2*b. What is the remainder when c(13) is divided by p(r)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 3 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*s - 0*f - f, 5*f - 8 = -s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -931*n**5 + 33*n**2 - 61*n + 8. Let x(o) = 465*o**5 - 18*o**2 + 31*o - 4. Let r(b) = 6*t(b) + 11*x(b). What is the second derivative of r(j) wrt j?\nAnswer: -9420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 283.6 and -0.195.\nAnswer: -55.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/51)\/((s**(-1\/16)*s)\/s))**47 assuming s is positive.\nAnswer: s**(893\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1404 - 1020.5. Let m = c - 667.6. Round m to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-4)*8\/6. Let r be (-2)\/5 + (-54)\/m. What is the nearest to 0 in r, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 8*t - 2. Let m be p(6). Let a = 17 + m. Solve 0 = 3*f - h - 14, -2*f - a*h = -f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2409bb - 0?\nAnswer: -2409bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*j - j**3 - 2*j**4 + 158*j + j**2 - 7 to the form u*j + i*j**3 + w*j**4 + v + q*j**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -254ce + -480?\nAnswer: -2594e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -6 + (-12 - 0) + (10 - 7) + 6\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55242931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 350341 and 350341 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*(-1568)\/(-896)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvwv when four letters picked without replacement from jdwwduvddvddjdu.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 822.61 to zero decimal places.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 90.54671 tonnes?\nAnswer: 90546.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22744 - -40523. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7097 + 312251\/44. Find the common denominator of x and 159\/48*-2 - (3 + -3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7245, -7246, -7249, -7254, -7261, -7270?\nAnswer: -7281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(180)*2)\/sqrt(10) + sqrt(18) + sqrt(36)\/(sqrt(32) + sqrt(2)))\/(-2*sqrt(5808)\/sqrt(8)).\nAnswer: 8*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 27*w**2 + 12*w - 10 - 25*w**2 - w**3 + 5*w**2. Determine x(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 22. Suppose 4*t = 3*m - 79, 5*m + 4*t + 23 - 112 = 0. Let x = m - q. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -1, 186, 1\/7, 2, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:21 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = k - 3*y, 3*k = 3*y + 15. Suppose -11*o = -10*o + k. What is the units digit of (-5)\/(1\/(-1)) - o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:53 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.54 + -0.36. Let q = 5 + d. Is -6 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9807151253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 12. Let p be f(5). Let q = 7 + p. Let k = 5 - q. Solve 0 = -a - 5*n - 3, n = k*a - 0*n - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:18 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 13 + 15*o + 13.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + a**2 - 17*a**2 - 1 + 2*a**2 + 1 + (-a + a + 2*a)*(-a - 4 + 4) - 3*a**2 + 3*a**2 + a**2)*(2 - a - 2).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3505, 3506, 3507?\n\"Answer: x + 3504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.6196 + -0.5?\nAnswer: 244.1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15373\/17 or -905?\nAnswer: -15373\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3521 - 5.7141. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - l - 28 = 0. Sort -3\/8, -2\/17, l, -1.\nAnswer: l, -1, -3\/8, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.11 + 0.11. Let j be (-121)\/(-143) - (-1 - -2). What is the closest to 0.1 in 1\/5, r, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14877275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-82) - 97470\/3895?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 3709?\nAnswer: -36c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -6c5?\nAnswer: -6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 4. Let m be d(-4). Let g(f) = f**3 + 11*f**2 - 10*f + 9. Let r be g(m). Calculate the remainder when 12 is divided by ((-5)\/r)\/(2\/18).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8774*h**2 - 24*h - 12*h + 6*h.\nAnswer: 8774*h**2 - 30*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150996 and 171801.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose 0 = -5*r + n*u + 70, -r = -2*r - 2*u + 5. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:50 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03997055 to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/21694 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.02595 + -1. What is t rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-3 - -3) - -12) + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*n - 179084 = 204*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 - -0.1. Let u = -15\/22 + 2\/11. What is the biggest value in u, x, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j - 1)*(-57*j**2 + 326 - 326) + j - j**3 - j.\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 7. Let k(c) be the third derivative of c**2 + 0*c + 1\/2*c**3 + 0 - 1\/24*c**4. Let g(f) = f - 2. Let m be g(-3). Calculate m*k(s) - 2*n(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6000 divided by 80\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1631 + 411?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:45 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77868 divided by 19467?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 1. Let t(u) = -3*u**2 - 5. Let h(s) = -t(s) + 5*v(s). Let j(p) be the first derivative of -5*p**2\/2 - 1. What is j(h(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-238)\/(-56))\/((-1)\/(-8)). Let a be m*3\/6 + -2. Solve -4*l - 3*v + 8 + 1 = 0, -a = -2*l - 5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(7) + 6*(sqrt(7) + sqrt(63)))*4 - (sqrt(35)\/(sqrt(20)\/sqrt(4)) - (sqrt(168)\/sqrt(6))\/sqrt(4)))**2.\nAnswer: -704*sqrt(7) + 54224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -377844 times -1?\nAnswer: 377844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/5 - 414*b**3\/5 - 819*b**2\/5 - 408*b\/5 = 0 for b.\nAnswer: -136, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*z - 2, -g - 5 = 4*z - 0*z. Let y be ((-12)\/10)\/((-19 + 37)\/(-90)). Suppose 2*d + 2 = t, -y = 3*t - 3*d + d. Which is greater: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4689 and 8.5.\nAnswer: -39856.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/522*(-7)\/((-21)\/(-156)))\/((-42)\/189).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/4 - 4)\/((-3)\/(-10)). List the prime factors of (636\/(-10))\/((-2)\/b).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(50\/(-4))\/5. Solve -n + 6 = -w*r + 18, 4*n = -2*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1340 - -1342. Let w = -8 + 4. What is the nearest to f in 0, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 19*r**7\/70 - 55*r**3\/6 - 50*r**2 - 2*r. What is the derivative of p(o) wrt o?\nAnswer: 228*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + 12*d**2 - 4*d - 20. Give v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -236, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**5 - 161*y**4 + y**3 - 5368*y wrt y?\nAnswer: -40*y**3 - 1932*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2004767, -2\/7, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 6*b - 6. Suppose -a = -u - 2 - 0, -25 = -2*a - 5*u. Suppose -m = 4*x + a, -m - 3*m - 4*x - 20 = 0. Give w(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 10?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 77*g**2 + 32*g - 1080. What is the thousands digit of k(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64467\/(-143260)*(-40)\/(-51).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 14. Calculate b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110101001110000 - 10110?\nAnswer: 1110110101001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -8. Let q(h) = -13*h - 4. Let p(o) = 4*o + 1. Let c(z) = g*q(z) - 7*p(z). Let n(s) = s. Let y(m) = 2*c(m) + 2*n(m). Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8428?\nAnswer: 5\/8428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*y**2 + 3 - 317*y**2 + 2 + 3*y as s*y**2 + f + r*y and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*f + 183*f + 22 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-97 + 15 - -6) + 17 - -5).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313148 = 55*a - 9*a + 77*a. Does 34 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 24*j**2 + 181*j + 20. What is a(-30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 + 45*q**2 - 3705*q + 29575 = 0. What is q?\nAnswer: -35, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*z + 544 - 718 + 174.\nAnswer: 136*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242482*c**4 + 119391*c**2 wrt c?\nAnswer: 5819568*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, 2, 7, 14, 23, 34?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.272 + 9.\nAnswer: 4.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m)\/(m*m**1))\/(m*m*((m*m**(1\/4))\/m)\/m)**(-13) assuming m is positive.\nAnswer: m**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 46*k + 210. What is l(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617543277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4295.3 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5692\/21 - -2140\/7. Does 35 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = 3*y, 0*s = 2*s + 2. Let v be ((-6)\/1)\/(y\/(-3)). Put -1, -4, 0, v in ascending order.\nAnswer: -4, v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-1)\/2 - 158740\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96221 is divided by 194.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 5. Suppose 5*l + 5*q = 45, 3*l - 4 = s*q + 15. 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 d = 525 + -314. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 9. Let s be d(7). Suppose 5*a = 3*b + 102, 31*a - 27*a = -s*b + 52. What is the greatest common divisor of a and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120001 + 100212?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -6 (c) 1 (d) 120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/20))\/((-88)\/(5720\/(-65))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let y be z(-3). Solve -2*d + 15 = y*n, 0*d = 3*n - 2*d - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 652631 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -384 to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1) + 21 + (-2 - -10) + 17.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 - 3*q + 5. Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d = -49*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*z + 6 = -104*z. Find the third derivative of 172*o**6 - 169*o**6 + 14 + z*o**2 + 30 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 + 287. Let h = -31 - v. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-1008)*(4 + (-42)\/15)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = 0. Let v be (n + 0)\/(3 + -1). Let m(q) = 121*q - 45980. Let h be m(380). Is h < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244379 = 8938*b - 837119 for b.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451.3005874 - -451.3. What is g rounded to five dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2. Let m(u) be the third derivative of u**5\/20 + 18*u**2. Determine m(x(q)).\nAnswer: 75*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + b + 2. Let g be o(-4). Is 2*g\/(12\/(-74)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82082, -164166, -246250, -328334, -410418?\nAnswer: -492502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 4, c: 6}. What is prob of sequence ayay?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3615.676 to the nearest ten.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.15 less than -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -364, -857, -1588, -2581, -3860?\nAnswer: -5449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3670 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -84927, -3, 5 in descending order.\nAnswer: 5, 3, -3, -84927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 532638 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -1\/3 (b) 10 (c) 0.05 (d) -0.06 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 16*i**2 + 2. Let h be s(-16). Suppose 8 = g + 6. Suppose 4*q - 30 = -3*r - g*r, -4*r - 4*q + 24 = 0. Solve -r*t - 20 = -h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.148 - -2\nAnswer: 1.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k + 8298 = 459*k + 3275 - 7236 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3. Let t be g(-1). Suppose -l + 4*x + 11 = 1, 5*l + 3*x = 4. Solve -5*h - c = t*c - 8, 0 = -l*h - 5*c - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/(24\/180). Let r be 6 + (-5 - z - 47707). Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518696688 divided by 24.\nAnswer: -21612362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 193*z**2 - 781*z - 169. Determine i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**2 + 2*k. Let a(y) = 0 - y - 6 + 6. Calculate l(a(x)).\nAnswer: -8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k - 8*k**3 + 19*k**5 - 30*k**5 + 15*k**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/40 + (-7)\/((-56)\/153). Let x = 177 - t. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.11348 nanoseconds in microseconds?\nAnswer: 0.05711348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:11 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3656727*u**2\/5 - 8044799*u + 22\/5 = 0.\nAnswer: -11, 2\/3656727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6) - (-21)\/(-9)) + -112. Let t be (-1)\/3 + h\/(-18)*1. Let v = 6 - 3. Solve -z = 5*w + 3*z + v, -4*w + z + t = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.03? (a) 3 (b) -1\/5 (c) 1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**6\/120 - h**5\/15 + 5*h**4\/24 + 5*h**3\/6 + 9*h**2\/2 + 10. Let f(n) be the second derivative of y(n). Determine f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x - 1. Let u(t) = -t**2 - 2*t + 23. Let a be -5 + (37 - 19 - 16). Determine a*y(l) - u(l).\nAnswer: -2*l**2 - l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69339 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94195422 is divided by 7702.\nAnswer: 7664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1408, -2818, -4232, -5650, -7072, -8498?\n\"Answer: -2*h**2 - 1404*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 767.2 - 744.2. What is the fourth biggest value in 1, h, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.34 from -3424963548516.\nAnswer: -3424963548516.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*((c\/c**(1\/4))\/c)\/c))\/c*c)**13*((c**(-5)*c*c)\/c)\/c*c**(-2\/13))\/(((c\/(c*c*c**4*c)*c*c)\/(c\/c**(1\/6)))\/(c**(-1))**6) assuming c is positive.\nAnswer: c**(3577\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 5 - 3 - 24*o - 5 - 20 - 11.\nAnswer: -24*o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 398944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-399)\/114*(-20)\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4760665 divided by 7.\nAnswer: -680095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -27295\nAnswer: 1\/5459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -295*m**3 + 6*m**2 + 3*m - 5. Let t(b) = -297*b**3 + 4*b**2 + 2*b - 4. Determine -2*l(r) + 3*t(r).\nAnswer: -301*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 3*k**2 + 5*k. Let i(p) = 5*p**3 + 7*p**2 + 11*p. What is -9*g(b) + 4*i(b)?\nAnswer: 2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 116. Let t be b(-19). Solve -83*q = -t*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 6*q**2 + q + 3. Let t be o(-3). Solve -1\/8*g**4 + 1\/8*g**3 + 1\/8*g**2 + t - 1\/8*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:08 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r**2 - r**2 + r**3 + 1 + 1. Let k(c) = c - 4. Let f be k(4). What is y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 8, -3*g + 2*u = 7*u - 2. Suppose -g*s + 0*s + 497 = -b, s - 134 = -3*b. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:31 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4338 in 5, 826, 4?\nAnswer: 826","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -530 in descending order.\nAnswer: 5, -10, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(4\/19))\/(w*(w**(-22)*w)\/w*w))\/(w**22\/(w\/w**(-21))))**(-1\/13) assuming w is positive.\nAnswer: w**(-395\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -19*b + 16. Suppose 0 = -b*t - 4*x + 3936 + 1470, 5*t - 2*x = 13527. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - 137?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -409.19 - -416. Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 36. Give w(5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 - 7*a + 10. Let l be c(-8). Let d = -61 - l. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 34 = 3*h. Let o = 5 + h. Let y be o\/(-5) + (1 - 3). What is the second smallest value in y, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*y - 25*y + 3*y**3 + 0*y**3 - y**3 - y**3 + (0*y + 2*y - 4*y)*(-2*y**2 + 0*y**2 + 3*y**2) + 2*y**3 + y**3 + 0*y**3 - 32*y**2 + 32*y**2 + 12*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -92) + 2 + 13 + (18 - 43).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 45. Solve -h - 4*h = -25, -2*b - h + 9 = p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 51. Suppose -i*a = -3*d + 2*d + 48, 0 = -4*a. Let u be 502\/(-7)*-1 + (-144)\/(-504). Calculate the greatest common divisor of u and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:27 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/1304 - 5241\/6520. Which is the second biggest value? (a) n (b) -15 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8033 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + 1 + -2)*119\/(-28). Let u(t) = -20*t + 462. List the prime factors of u(k).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v + 100. Calculate the smallest common multiple of 1 and n(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-2808)*54*0\/(-2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 5*v**8\/336 - 9*v**7\/14 + 73*v**6\/8 - 505*v**5\/12 + 95*v**4 - 120*v**3 - 2*v**2 + 58. Factor a(f).\nAnswer: 5*(f - 12)**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, j: 8, c: 5}. What is prob of sequence tttj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6597*d**2 - 41091. Let b(v) = -v. Give b(x(p)).\nAnswer: 6597*p**2 + 41091","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = j - 30*s + 25*s, 0 = 5*s - 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6877322 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 173635523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(0 - 6 + 1)*(6*b**3 - 2*b**3 - 2*b**3).\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 20*k + 2*r + 14, 6 + 124 = -35*k + 10*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.438.\nAnswer: 0.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1623 + -1628. What is the third biggest value in 13, s, -1\/588?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 2. What is the remainder when b(-8) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -1441, -3249, -5783, -9043?\nAnswer: -13029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 - 28.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -41*b - 10. Let v be d(-5). Let i = 12 + -3. Suppose i*g - 4*g = v. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*a + 17274213 = 2*f, -5*a - 69096927 = -4*f. Suppose 3*j - f = 4325772. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1133.1022 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose -5*l - t*n + n + 18 = 0, -4*n + 8 = 4*l. Let x(d) = 2*d**3 - 6*d**2 + 5*d - 12. Let f be x(3). Put 2, l, -17, f in descending order.\nAnswer: l, f, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 < -31.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-8) + 1\/(-4). Let y(k) = k**c + 4*k**2 - 3*k**2. Let b(f) = -2*f. What is y(b(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63044 or 63043?\nAnswer: 63043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 plus 52943047.4?\nAnswer: 52943301.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 247 = 63*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-236)\/7 + (-4)\/14. Find the common denominator of 97\/12 and (-2)\/4 - c\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = 32. Let o = x + 62. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/(-2)*(-2 + 3). Let b = q - 25. Let k be b\/(-2)*(-48)\/20. What is the greatest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -5, -16.46?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(252) - (4 + sqrt(252) + -1)**2) - (sqrt(70)\/sqrt(5)*6)\/((sqrt(110)\/sqrt(5))\/sqrt(11) + sqrt(2)).\nAnswer: -258 - 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10821 - 10361 + 60*f - 57*f as x + u*f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j**2 + 10*j - 591. Let a(g) = 6*g**2 - 3*g + 197. Give -7*a(m) - 2*h(m).\nAnswer: -2*m**2 + m - 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144019 is divided by 2717?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -92 + 27. Calculate the common denominator of -101\/12 and c\/2*7\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 + -91 - 21) + 18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**4*g - 1596*c**4 - 2*c**3*g - c**2*g - c**2 + 2*c - 3*g + 21513 wrt c.\nAnswer: -96*c*g - 38304*c - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -538, -1210, -2160, -3394, -4918, -6738, -8860?\nAnswer: -11290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3498231 divided by 1166077?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, i: 3}. What is prob of picking 2 k and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*-1 - (34 + 10855\/(-234)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/3 + 2677*f**4\/3 - 18805*f**3\/3 - 45637*f**2\/3 - 8052*f = 0?\nAnswer: -2684, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c = 136 + 989 + 930 - 60 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*i**6 - 89*i**4 - 3*i**2 - 2133*i wrt i?\nAnswer: 14160*i**3 - 2136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105693, 105826, 106047, 106356, 106753, 107238?\n\"Answer: 44*q**2 + q + 105648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23044.7 - 23045. Which is the second biggest value? (a) 0 (b) o (c) -0.5 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41559955*f*s**3 + 144880*f*s**2 + s**2 + 16*s wrt s.\nAnswer: -249359730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1029, 1.1, 0.2537?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 37*w + 7. Let r(l) = -8*l**2 + 73*l + 13. Give 5*h(b) - 3*r(b).\nAnswer: -b**2 - 34*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -5 (c) 676 (d) 1\/5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.4 - -42.32595. Round k to 3 decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab6 (base 14) to base 15.\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -11*k - 2754. Suppose 0*i = -5*d - 4*i + k, -759 = -4*d + 5*i. Calculate the greatest common divisor of 279 and d.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3 = b, 5*b - 10*a + 8*a = 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 676*c - 13. Let i be o(3). Suppose i = 3*d - 2*h + 3*h, -4*h = 3*d - 2003. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w. Let v(y) = -27*y**2 - 4*y - 4. Let p(b) = -380*b**2 - 57*b - 57. Let l(z) = -4*p(z) + 57*v(z). Determine l(c(q)).\nAnswer: -9196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5 + 7*v**2 - 4*v**3 + 11 - 2*v**2 + 3*v**3. Let s(q) = 5*q**3 - 24*q**2 - q - 31. Let n(u) = -2*s(u) - 11*w(u). Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let h(t) = 2*t**2 + 4*t + 9. Give -5*a(n) + h(n).\nAnswer: 2*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ago.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 9*f - 11. Let j be 20 + -24 - (7 - 2). Give v(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.4 + -75.58. Let g = -9 - r. Let f = g - -0.82. Sort -2\/19, f, -2 in decreasing order.\nAnswer: f, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4617*s**2 - 4609*s**2 + 13873*s**2 - 4643*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*o - 97*o = 108 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 20227814.57?\nAnswer: -20227814.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*k - 17, -r + 3*r = 4*k + 22. Suppose 5*q - t = 201, 2*q - 2*t - 54 - 20 = 0. Calculate the remainder when q is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 10\/7 (c) -1 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25029566 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.26 - 70.95983. Let m = 17 - 17.7. Let i = m - b. What is i rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from {g: 2, u: 4, x: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3178 by -2.\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59 * -1.7.\nAnswer: -1.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*l - 6, 0 = 5*l - 30 + 10. Let u(q) = q - 6. Let f be u(7). Let v(i) = -4*i**2 - i + 1. Let c be v(f). Put 2, c, k in ascending order.\nAnswer: c, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.688 + 0.212. Let y = 57.8 - r. What is the nearest to -1 in 2\/3, y, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046 is divided by 137?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(6\/5))\/z)**(-8) assuming z is positive.\nAnswer: z**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -1473, -3545, -7221, -13035?\nAnswer: -21521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(200\/450*(-3)\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*y**4 - 51*y**3 - 52*y**2 - 41 + 19 + 25 - 2*y - 331*y**2 - 187*y**2 wrt y?\nAnswer: -792*y - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-5 + 1 + sqrt(13) - (sqrt(13) + 1 + sqrt(637))) + 0 + sqrt(39)\/sqrt(3) + sqrt(468)*2)*-1)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4937?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -48\/5*r**4 + 32\/5*r**3 - 36\/5*r - 88\/5 + 4\/5*r**5 + 136\/5*r**2 = 0?\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2 + l + 11*l - 11*l. Give h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 8:38 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Is g bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and 6226303.\nAnswer: 6226303.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 30*i**2 - 45.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644588074 to the power of 1\/2, to the nearest integer?\nAnswer: 40554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 82464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*r + 0*r - 4*r)*(3*r - 3*r + 2*r) + r**2 - r**2 + r**2)*(-9 + 7 - 18 + 3 - 5 + 3 + (1 + 0 - 2)*(0 + 3 - 4)).\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 23*b - 10*b - 28*b + 22*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-6))\/(12\/(-18)). Let s be (1344\/76)\/3 + (-10)\/(-95). Does s = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zcjc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1576)\/(-16) - (0 + (-1)\/2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*l + 155 = -8*b, 41 = -2*b + 3*l. Find the common denominator of 12\/b - 86\/14 and -1 - (-1)\/(-10)*37.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 520390*j**2. Let r(s) = -2*s. Determine r(i(x)).\nAnswer: -1040780*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113374\/153 - -741. Let w = t - -205\/153. Let x = 163\/2 - 83. What is the closest to -0.1 in x, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*s - 32, 0*s = -2*s + 4*t + 20. Let n be (1 - 1) + s + -19. Is 6 a factor of 74\/(-3)*n\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -643*v - 132 + 319 - 86 - 95 to z + b*v and give b.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-93)\/(-12) - (1 + -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 10 - -4 - -8) + -45.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 8 + 14 + 28. Let s(h) = 18*h**2 + 8*h + 5. Let q be s(-1). Let k be c(q). What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -7*n + 7*n**2 - 3*n**2 - 19 + 15. Let q(r) = -7*r + 6. What is -5*a(s) - 6*q(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*l**4 + 185*l*x**3 + 4173*x**3 wrt l?\nAnswer: 44*l**3 + 185*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/5 - 17605678*d**4\/5 + 88028409*d**3\/5 - 105634102*d**2\/5 - 70422724*d\/5 + 140845464\/5 = 0 for d.\nAnswer: -17605683, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3149 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245 + -10.9870928.\nAnswer: -255.9870928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11547*c**3 + 12929 - 12929.\nAnswer: -11547*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 7. Give t(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 59 + -53 + -3 - (1 + -106)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286359 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 28, 1, 4, -5, 5, 63 in decreasing order.\nAnswer: 158, 63, 28, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 807, 1244, 1701, 2178?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:48 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -133, 1, 119 in increasing order.\nAnswer: -133, 1, 72, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 75. Let d be ((-4)\/2 - (4 + -1))*-3. Let x be r(d). Solve -3*w + x*w = -4*q - 8, 2*w = -3*q - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n. Let l be r(3). Let y = l - 9. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-2)\/3)*666\/999?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**3 - 3*i + 0*i - 50*i**3 - 2*i**2.\nAnswer: -85*i**3 - 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96220 is divided by 289?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13.3. Let q = w - 2.5. Let f = 0.2 - q. Which is the second smallest value? (a) f (b) -0.05 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1289289.9183 to the nearest ten thousand.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppfkhykyffhcffkyff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onc when three letters picked without replacement from {j: 1, h: 2, o: 2, n: 4, c: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-350)*-10 - 99\/15. Which is the nearest to 3\/8? (a) l (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62680, -251014, -564894, -1004320, -1569292, -2259810, -3075874?\nAnswer: -4017484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67125330 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 12704 + 13928. Calculate the greatest common factor of 1904 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630720322.\nAnswer: 2, 197, 1600813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 238, 259, 282, 307, 334?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10866*n**2 + 5*n - 12. Let v be o(3). Suppose -4*b + 65191 = -2*b - 3*c, -c - v = -3*b. What is b rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52620645.\nAnswer: 3, 5, 7, 11, 29, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 61 + 43 = -3*k - q, 6*k - 5*q = 63 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - r + 1 - 2102*r**3 + 2*r**2 + 1840*r**3. Let y(j) = 2*j**2 - 2*j + 1. Let f be y(1). Let w be g(f). Round w to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/14094 and -13\/1044?\nAnswer: 28188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2)\/(-40) + (-396)\/(-90). Factor -3\/2*h**4 - m*h**2 + 3\/2*h + 0 + 9\/2*h**3.\nAnswer: -3*h*(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 95?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1166, -1205, -1308, -1505, -1826, -2301, -2960, -3833?\n\"Answer: -5*u**3 - 2*u**2 + 2*u - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.04. Let v = s - 0.06. Which is the nearest to 2? (a) 0.1 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 891.413475 - 1756.9685. Let t = -871.55502541 - c. Let m = -6 - t. What is m rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 40485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*g - 27 = -0*r, r - 4*g = 2. Suppose 54*b - 61*b = -28. Solve -b + r = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4 - 1\/8*a + 1\/8*a**3 + 7\/4*a**2.\nAnswer: (a - 1)*(a + 1)*(a + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Let j(l) be the third derivative of l**4\/24 + 10*l**2. What is j(g(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 4. Let m be 66\/18 + (-2)\/(-6). What are the prime factors of d(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = 0, -y + 3*j = 4 + 6. Let t be (y\/(21\/150))\/((-7)\/(-12964)). What is t rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-2)*19\/2*(-64)\/(-304).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*l - 3, -y + 4*l + 3 = 3*l for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {u: 2, o: 5, v: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - (430\/15)\/(-43). Let s(x) be the first derivative of 19\/4*x**4 + f*x**3 + 0*x + 17\/2*x**2 + 1. Find the second derivative of s(p) wrt p.\nAnswer: 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -942658, -942679, -942700, -942721, -942742, -942763?\n\"Answer: -21*b - 942637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186998 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 4. Let l(r) = 3*r + 5. Let y(g) = -3*l(g) + 4*m(g). Let d(z) = 4*z - 7. Give d(x) + 5*y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.7197?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 7*g - 10 = 0. Let d(k) = k. What is the lowest common multiple of g and d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/10)\/(803\/55 + -14). Which is the second smallest value? (a) 1 (b) s (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 71*m**5\/5 - 2*m**3\/3 - m**2\/2 - 45*m - 90. What is the second derivative of o(r) wrt r?\nAnswer: 852*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 280. What is the tens digit of (-9)\/42*-4*i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 - 13490*i - 124. Let k(l) = 8*l**2. Calculate p(k(r)).\nAnswer: -576*r**4 - 107920*r**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -48.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -92. What is the remainder when p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0545 in -0.5, -7, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*z + 4*g, -g - 2 = g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 17*q - 12. What is j(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35503 (base 8) to base 11\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 11.428?\nAnswer: 11.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 3*t - 47. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 38 = -5*v + 15, -141*d - 9 = -142*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 3. Let v be a(7). Let g = 8 - v. Suppose -3*m + 4*m + g = -4*q, 0 = -5*m - 5*q + 5. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 12*h - 5*g - 3199 = 0, 2*g - 6410 = -4*h. List the prime factors of h.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -154, -168, -198, -250, -330, -444, -598?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-2150)\/43)\/500)\/(3\/(-6)))\/((-1)\/(-275))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30388 + 30235 - 60623 + 14*a + 12*a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/((52\/455)\/(-2)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**6\/6 + 29*c**3\/3 - 25. What is the third derivative of m(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 9, 0.12, -2\/23?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 217175000 divided by 56\nAnswer: 3878125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - 26*c**2 + 15*c + 3. Is u(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02905 - -3.89795. Let s = -0.073 - a. What is the fourth smallest value in s, 4, -8, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 44 + -33 + -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onolabblblnoollbl. What is prob of sequence lbob?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 12:54 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 398309 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -26*t**2 - 8*t - 11. Let o(u) = -9*u**2 - 3*u - 4. Let a = 85 - 81. Give a*w(p) - 11*o(p).\nAnswer: -5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759786*w + 3 + 379890*w + 379898*w.\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1085\/(-168) + 6 - 1\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757451 - -70.27?\nAnswer: -757380.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 6*c + 13. Let k be o(7). Let s = k + -39. What are the prime factors of 3\/12 - (-508)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*j**3 + 2*j**2 + 3272*j?\nAnswer: -12126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - 4*n**2 + 2*n**2 + (7 - 2 - 3)*(-3*n + 3*n + n**2) + 0*n**2 + 3*n**2 - n**2 + 6*n**2 - 2*n**2 - 2*n**2 - 13*n**2 + n - 144*n**2 - 224*n**2 - 2.\nAnswer: -377*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -204 + 132 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/120 - h**5\/15 + h**4\/4 - 7*h**3\/6 + 29*h**2. Determine k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314.46 * -1.\nAnswer: -314.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15145*i - 4363*i + 9264 = 305779 + 37727 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 28. Let d be k(-7). Let m = -54 - d. Suppose 0 = -5*q + 4*g - 5, -2*q + 4*g + 0*g = -10. Is q at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 + 21 = 0. Let x(r) = -r - 1. Let d(n) = 7*n + 7. Let c(q) = y*x(q) - d(q). Let p(u) = 6*u + 6. Determine 22*c(i) + 4*p(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + f**2 + 2*f - 4. Let u be s(-3). Let d be (u\/25)\/((-1)\/(-15)). Let v be 9*((-4)\/3)\/(-2). Calculate the highest common factor of v and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23380954 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -141*(-17 - 1475\/(-90) - 10\/180)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/10 + 3\/15. Let v = t - 0. Let r = 1276 + -1276.2. What is the second biggest value in 0.5, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/504 - m**6\/36 - m**4\/24 - 16*m**2. Let w(o) be the second derivative of s(o). Factor w(l).\nAnswer: -5*l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/(-13) - (-2330)\/(-6058).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13 + -14 + 1064 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032946461?\nAnswer: 3, 5791, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 45120\/684) + (-2 - (0 - 10)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 - 14*l - 14. Let p(s) = -2*s**2 - 55*s - 55. Let w be p(-27). Let z(m) = 2*m**2 + 3*m + 3. Calculate w*z(y) - 6*j(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k - 10. Let r be a(6). Suppose -9*p = -2*p + r. Calculate the common denominator of (-65)\/(-140)*-13 - p and 59\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 43*z**2 - 4*z - 46. Is j(44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = 45*p - 35190. Calculate the remainder when p is divided by 108.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266078663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1372 + 1399.76. Let q = 517 + -491.3. Let r = t - q. Round r to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 306.49, 1, 5, 3\/2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 37*x**2. Let m(t) = 4*t - 16 - 8 + 24. Determine p(m(s)).\nAnswer: 592*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634802131 to the power of 1\/2, to the nearest integer?\nAnswer: 25195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 1 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.33156+65\nAnswer: 66.33156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38, -95, -154, -203, -230, -223?\n\"Answer: 2*a**3 - 13*a**2 - 32*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -6. Let s be x\/(-3) + (-84)\/(-18). Let n = -7 + s. Is n smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -1\/2*j**2 - 36 + 8*j. What is i(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972237.012 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/21)\/2)\/((40\/444)\/(245\/49))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080820107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62385, -62149, -61515, -60285, -58261, -55245, -51039?\nAnswer: -45445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*k + 8*k**3 + 8*k + 37*k + 4 + 35*k to w*k + v*k**2 + s*k**3 + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1525 + 1525 + 49*z**4)*(0*z + z - 2*z) - 3*z**4 - 7*z**5 + z**4 + 3*z**4 - z.\nAnswer: -56*z**5 + z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let k(z) be the third derivative of 1\/4*z**4 - 5*z**2 + 0 + 0*z + 0*z**3. Determine k(m(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-2))\/((-5)\/(-2) + -2). What is the closest to -1\/3 in l, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126*(-17)\/170*1\/(18\/(-15)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 35. Let j(w) = -4 + w - 3*w - 3*w + h*w. Let u(b) = -b**2 + 7*b + 6. Let p be u(7). Let o(a) = 4*a + 5. Determine p*j(c) + 5*o(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5, -2*q + 91545076 - 692085075 = -i. What is q rounded to the nearest 1000000?\nAnswer: -300000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26724 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:46 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 22*h - 8. Let d be c(-18). Suppose -16*j - d = -20*j. Calculate the highest common factor of 176 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 458668654*d + 15106359 wrt d.\nAnswer: 458668654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 112.8. Which is the second smallest value? (a) -0.3 (b) s (c) -2\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - 2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 760*h**4 - 43883*h**3 + 762362*h**2 - 4370440*h + 3651200 = 0. What is h?\nAnswer: -815, 1, 10, 16, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) -3 (b) 103\/8 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 140. Suppose d - 17*d - 23*d = -741. Calculate the remainder when a is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/80 + -1\/16. What is the third biggest value in j, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7*u. Let l be (-12)\/(-2) - (u + 2). Solve 3*m - 5 = l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841338 is divided by 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315283068 and 2664?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + g**2 + 8*g + 343. Let v be w(0). Suppose -147 = -5*p + v. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 5*v + 5. Let i(l) = -l**3 + 7*l - 7. Let q be 20\/8*(-12)\/6. Determine q*i(n) - 7*w(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 6. Is o(8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1894882 or -24633474\/13?\nAnswer: -1894882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 776024 divided by -97003?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*b**3 + 2 - 2.\nAnswer: 338*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -5*s + 157. Is 2 a factor of 60\/(-18)*s\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 31*r**4 + 256*r**2 - 5*r + 5. Let x(f) = 47*f**4 + 384*f**2 - 7*f + 7. Let q(j) = 7*t(j) - 5*x(j). What is the third derivative of q(k) wrt k?\nAnswer: -432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004388 rounded to seven decimal places?\nAnswer: -0.0000439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/90)\/(-4 - 22\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2456.307 - -2455. Let v = 1.14 + c. Round v to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -995 - -2128. Suppose -5319 + z = -13*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28572179, 57144379, 85716579, 114288779, 142860979, 171433179?\nAnswer: 200005379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2 + 2)*(q**3 - q**3 + q**3) + (3*q**3 + 7*q**3 + 0*q**3)*(2 - q - 2).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*y + 4 = 0, 5*q - 91*y + 18 = -87*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*j + 24 = 0, -4*k - 2*j = -0*j + 4. Let v(h) = -h - 3. Let r be v(k). Sort r, -2, -6 in descending order.\nAnswer: r, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -175?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 24 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 211445459.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*g = 2872, 3*d - 2595 = -g + 272. Suppose r = 2*k + 2*k - d, 470 = 2*k - 4*r. Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c8501 + 4c?\nAnswer: c854d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 l when three letters picked without replacement from rrrlwvwrwurwr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(260)\/sqrt(5)*5)\/(-1*sqrt(256))*3.\nAnswer: -15*sqrt(13)\/8 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 5.5, 13, 0.3, 2 in ascending order.\nAnswer: -98, 0.3, 2, 5.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 77545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339 - 200. Suppose 14 = a - 4*h, -4*a + 10 = -2*h - 4. Suppose -d - 5*w = -z, 4*w - 290 = -0*d - a*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + p**2 - p. Suppose 4*i + 0*i = 4. Let r be y(i). What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 15*c**2 - 135*c + 376. What is t(20)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 2*u + 755 - 738, 5*u = -40 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scss when four letters picked without replacement from cspscssccsc?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1870490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (6 - (-3 - -6)) + (-10 - -35).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3553*d + 7101. Calculate z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/10 + 8*k**3\/15 + 3*k**2\/5 - 116. Factor c(s).\nAnswer: 2*s*(s + 1)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiozoooozooooooz. Give prob of picking 3 z.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 104.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 11*x + 12. What is the second biggest value in x, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -10, -5, 18, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 135. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(9\/(-81)). Suppose 0 = -t*m - 2*u - 3*u + 15, -2*u + 5 = m. Let i(y) = -m*y - y + 5*y - y. Let l(o) = 3*o**2. What is i(l(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -222.84122151?\nAnswer: 222.34122151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*t + 5*t - 20 = 0, -33 = -2*x - 3*t. Suppose 9 + x = 4*w. Let s = 31 - 8. What is the remainder when s is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2963880 and 912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 4*q - 3*q)*(-q - q + 9*q) - 2*q**2 + 2*q**2 + q**2 as s*q + y*q**2 + a and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10142 (base 5) to base 11.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3420 - -2?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2339366 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*p - 239 = 1281 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.15 + 1.15. Which is greater: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 3:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) + (sqrt(171)\/sqrt(225))**2)*-6.\nAnswer: -6*sqrt(19) - 214\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 767035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5904584 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from {m: 2, f: 7, e: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1249\/15847 + -1\/299. Let h = -2439 + 22016\/9. Find the common denominator of h and y.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 6*z**2 + 14*z - 18. Let s be o(-8). Let a be s + ((-4)\/14)\/((-2)\/14). Which is smaller: 0.137 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2068 and 331303940?\nAnswer: 331303940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qetqyttrtqrtqr. Give prob of sequence rrq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654187268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 32*z - 56. Let q be g(14). Solve q = -3*s + 3 + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(110) - sqrt(110)))\/sqrt(10).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-p + 2*p + p) - 2*p + 0*p - 5*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13086.8 kilograms?\nAnswer: 13086800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 112 = 28. Suppose 42 = g - w. Suppose 2*o = -3*k + g, 2*k + 138 = 4*o + 7*k. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 9\/6. Let k(n) = n**3 + 13*n**2 - 28*n + 35. Let h be k(-15). Suppose 11 = l*x - h. What is the smallest common multiple of x and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -42. Suppose -h*i = i - 54. Let d(t) = t**2 + t + 1. Let m be d(-2). Solve -m + i = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = x. Suppose 3*d + 8 = 5*d. Suppose -10 = -x*j + j + d*u, 0 = -u. Solve -5*k + 5 = -j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.083 and -849\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*m**2 - 2*m - 176*m**2 + 5*m - 112*m**2 + 0*m as u*m**2 + b*m + g and give u.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15722 is divided by 2618?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314927\/42300 - -3\/4700. What is the common denominator of 74\/21 and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14283*f**2*u**2 + 1066*f**2*u + f*u**2 + 3*f*u + u wrt u.\nAnswer: -28566*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let i(b) be the first derivative of -6*b - 6 - 1\/3*b**3 - 3*b**2. Let h(v) = 6*d(v) - i(v). Let w(r) = r**2. Calculate h(w(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 - -837. Factor 3*d - 3*d**2 + 13*d**2 - 23 - 17 + 3*d - y*d**2.\nAnswer: (d - 4)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 2*y**3 + 2*y**3)*(-33*y + 35 + 44*y - 42).\nAnswer: -11*y**4 + 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 124 = 0. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 110?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -35. Sort t, -0.2, -2\/5.\nAnswer: -2\/5, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-21)\/(-12). Let w be (-2)\/4 - (-3)\/o. What are the prime factors of (10\/25)\/(w\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeeqqeeqeeq. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 10. Let x be h(-7). Let k be 4*(-1)\/(-2)*16. Let y = x - k. What is the highest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2625318 - 2625318 - 1575*n in the form b + c*n and give c.\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -58. Suppose -21*f + 1668 = -p*f. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4513474 is divided by 101.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32079, 31739, 31395, 31047?\n\"Answer: -2*p**2 - 334*p + 32415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/(((-1206)\/54)\/(-67)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:17 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2896, -2902, -2908?\n\"Answer: -6*s - 2890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14 = 4*l, -a - 4*a - 10 = -5*l. Factor 15*t**2 + 28*t**3 - 8*t**3 - 3*t**4 - 32*t**a.\nAnswer: -3*t**2*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101416 plus 18.446241?\nAnswer: 101434.446241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5578248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/3225936 and -71\/11425190?\nAnswer: 274204560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 + 3*l - 14 - 3 + 6.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*120\/(-27)*6\/4. Suppose -s + n = 6. Let j = 46 - s. Calculate the remainder when 35 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 + 741. Let z be 3\/6 - b\/530. Let s = z - -631\/3551. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31620.\nAnswer: 2, 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpakpjn. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3965981 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**4 + 3*y**4 - 14*y**2 - 2*y**3 + 2 - 10*y**4 + y - y**3 to the form g*y**2 + m + t*y**3 + a*y + j*y**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34757 - 6342 + 4975)*(-q**2 + 3*q**2 - q**2) + (-2 + 2*q + 2)*(q + 4*q - 4*q).\nAnswer: -36122*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**4 + 6*f**2 - 6*f - 7. Let s be (0 - -8)*-1 - -3. Let h(w) = 4*w**4 + 5*w**2 - 5*w - 6. Let i(q) = s*n(q) + 6*h(q). Differentiate i(u) wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302 + 186. Calculate the remainder when 69 is divided by (q\/87)\/(-2 - (-104)\/54).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40587 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - 7\/(-6). Let w = -312.59 + 349.6. Let y = w - 37. Sort b, y, 4 in descending order.\nAnswer: 4, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 158*s - 7*s**2 + 2 - 156*s. Let k(x) = x + 1. Calculate 2*k(f) - r(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355572 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -937600 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 640057151 to the power of 1\/2, to the nearest integer?\nAnswer: 25299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8118649?\nAnswer: 7, 11, 105437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864500 is divided by 1053.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13*y = -20. Let f(x) = -x**2 + x - 2. Give f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 0.3, -3, 1.38, -1\/11?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-830)\/30 - ((-50)\/3 + 20).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 128 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**3\/3 + 6*t**2 - 20*t + 2. Let i be v(10). Suppose i*m = m. Does 5 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -v - 322. Suppose g - v = -o, 2*o - 83 = -0*g + g. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 5*j - 8. Let b be p(6). Let h = b - 25. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77 (b) -2\/7 (c) 0 (d) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2341, 8870, 19761, 35020, 54653?\n\"Answer: g**3 + 2175*g**2 - 3*g + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9500 and 261592.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -4243*m**4\/2 - 3770*m**3\/3 - 8894. What is the third derivative of d(x) wrt x?\nAnswer: -50916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/5)*x**6*x*x*x*x\/(x\/(x\/(x\/x**(-3\/8)*x)))*x*x**(1\/2) assuming x is positive.\nAnswer: x**(373\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:18 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - -6*3\/(-9). Let s(v) = -v**2 + 4*v + 18. Let b be s(l). Find the common denominator of 3\/4*2926\/b and -79\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1083018361 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00241281 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2850, -2851, -2854, -2859, -2866, -2875, -2886?\n\"Answer: -f**2 + 2*f - 2851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*b - 4*t, -15 = b - 2*t - 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 = 5*a, -7 - 2 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 287704.2 litres in millilitres?\nAnswer: 287704200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/8 + 293*u\/8 - 435\/4 = 0.\nAnswer: 3, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (92211\/14)\/(8*9\/336) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(8\/(-303)))\/((-60)\/1040)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2362 > -2349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/30)\/((-1)\/(-4)). Let t = -0.7 + 1. Let m = -0.2 + 0.1. Which is the closest to x? (a) m (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:58 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.12. Sort g, 4, -1.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679481 is divided by 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q)*(1 + 1 - 4) + (35*q - 7*q + 100*q)*(-3 + 0 + 5).\nAnswer: 260*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -7829?\nAnswer: -7827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-7*f + 2*f - 8*f)*(f - 2*f**4 - f).\nAnswer: 52*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52539 divided by -68\nAnswer: -52539\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.516836 - 0.5244. What is g rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-130))\/(56\/10 + -6). What is the nearest to 2\/5 in j, 5, 3, 83\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63298604 greater than or equal to 63298602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17013 is divided by 1889?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 1 - 37*d + 2*d.\nAnswer: -20*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, 6*u = 4*u - 5*y + 363. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 3. Let t = 1 - 4. Let c be b(t). Is c - (-37 + -2 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1263 - -2244. Calculate the remainder when w is divided by 500.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2, 85\/8, 17 in descending order.\nAnswer: 17, 85\/8, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 1. Let s(n) = -2*n. Let o(j) = -5*c(j) - 6*s(j). Let w(u) = -16 + 9*u + 2*u + 11*u - 32*u. Let a be w(-2). What is o(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359 + 664. Let t = -636662.267 - -636967. Let f = i - t. What is f rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1271150 (base 10) to base 9\nAnswer: -2346618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/33)*a*(a\/a**(-4\/3))\/a)\/((((a*a\/(a**(1\/3)*a))\/a)\/a)\/(a\/(a*a**(2\/3)))))**(-5) assuming a is positive.\nAnswer: a**(-670\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/13, 59, 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/24 + q**4\/6 + q**3\/6 - 5*q. Let c(h) be the second derivative of z(h). What is the first derivative of c(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001194066 rounded to seven dps?\nAnswer: -0.0001194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11061339.\nAnswer: 3, 17, 107, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 5. Solve -3*y - 2*y + t = 4*j, 5*y = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6468*z**2 - 148\/3*z**4 + 2\/3*z**5 + 1088*z**3 + 10890*z + 0 = 0. Calculate z.\nAnswer: 0, 3, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/2, 1\/5, 6, 0.4, 861?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-36) + 2198\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2124005?\nAnswer: 5, 13, 41, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 40339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - y**3 - 2*y**4 + 9*y - 6*y + 6*y**2 - 3*y**2 - 6 - 37 as u + f*y**2 + k*y**4 + l*y**3 + c*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48230.43 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 34 = 21*a. Suppose 0*t = -4*t + 8. Suppose -a*c + t = -2. Solve 3 = x + n, -3*x - 5 + 4 = -c*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -43\/20, 2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9644 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 191*k - 2695. Let c be b(-70). Calculate the highest common factor of c and 4900.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2 = 13, 61*n = 10*t + 56*n + 135 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -28. Let q(k) = 2*k - 5. Let j(n) = 3*n - 9. Let b be j(4). Let h be q(b). Put h, o, 0.2 in increasing order.\nAnswer: o, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-620)\/(-1080) - (-2)\/(-27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 4*d + 1. Let h be r(-2). What is the nearest to 0 in h, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409363*u**3 + 5*u + 22182 wrt u.\nAnswer: -2456178*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -14 + 1\/5*o**2 + 1\/5*o**4 + 1\/25*o**5 + 1\/3*o**3 + 0*o. Factor g(p).\nAnswer: p*(p + 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**4)*(1 + 2 - 1) + h**3 - 13*h**4 - 306*h + 149*h + 167*h.\nAnswer: -11*h**4 + h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**7\/126 - 2*v**6\/45 - v**5\/10 - v**4\/9 - v**3\/18 - 10*v. Suppose z(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 40. Let g = 3461 - 3464. Let v(i) = 2*i + 20. Determine g*m(p) - 5*v(p).\nAnswer: -p + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxi when three letters picked without replacement from {k: 1, y: 2, i: 1, n: 2, x: 3, l: 3}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271789 by -1.\nAnswer: -271789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 - -238 - (-1 + -8 + (1 - 0))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/(q*q**4\/q))*q)\/(q**(-2\/11)\/q))**37 assuming q is positive.\nAnswer: q**(2516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 13) in base 2?\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 3 (c) 5 (d) -2 (e) -413528 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, -18, -82, -172?\n\"Answer: -13*w**2 + w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(14\/(-4)) + (-40)\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -148937 times -4\nAnswer: 595748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/30*24\/((380\/(-57))\/10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -172, -259, -346?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 7. Is o(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*l - 4*y + 77, 0 = -59*l - y - 1178 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169.765 - 170. Let k = z - -0.135. Sort -0.6, k, 4 in ascending order.\nAnswer: -0.6, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275) + (0 + sqrt(275) - sqrt(275)) + sqrt(275) - -1*sqrt(275)*2 - (1 + (1 + sqrt(275))*6 + sqrt(275)))**2 + -5 + -5.\nAnswer: 180*sqrt(11) + 2501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 3. Let w(l) = -6*l. Calculate w(y(a)).\nAnswer: 6*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 - 0. Let z be 20\/(-110) + (-92)\/(-22). Calculate the highest common divisor of z and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}