diff --git "a/data/dm_maths/full_data_1/2562_11255.jsonl" "b/data/dm_maths/full_data_1/2562_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2562_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express 10 - 10 + 40*m**2 - 174*m**2 as n*m + s + f*m**2 and give f.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*23 - (435 + -467)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-30)\/(-2)) + (-108)\/(-10). Suppose w*q = 15 + 18. Solve 15 = q*l, -2*j = 3*j - 2*l + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 114558945?\nAnswer: 11455894.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 16*n**2 - 69*n - 100. What is j(-6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -143*s - 84. What is the units digit of m(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r + 2. Let d be i(0). Suppose -5*v + d*v + 3*x + 291 = 0, 2*v + 4*x = 224. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -35. Let v = 40 - 38. What is the fourth smallest value in s, -1, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:30 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u)**(-16)*(((u\/u**(1\/5))\/u)\/u)\/(u*u**(-36)))**(-11) assuming u is positive.\nAnswer: u**(-4059\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134158*a*b**2*j**2 + a*b*j + a*j**2 + 282*a*j - 49*b**2*j**2 + 222*b*j + 5*j wrt b.\nAnswer: 268316*a*j**2 - 98*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, -2\/9, 5.\nAnswer: -2\/9, 18\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -487141 * -1.\nAnswer: 487141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*l - 438, 0 = 2*l - 3*l + 4*u + 106. Suppose w + 2*y = 36, 4*y + 20 = 9*y. Calculate the remainder when l is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679717350 to the power of 1\/2, to the nearest integer?\nAnswer: 40984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -14*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (-2 + 10)) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029.036 to zero dps.\nAnswer: -1029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4167073?\nAnswer: -4\/4167073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*g**4 + 76161*g**3 + 52323568 wrt g.\nAnswer: -240*g**3 + 228483*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + 265. Let i = t - 195. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*h)**7*(h**(-1))**(-31) assuming h is positive.\nAnswer: h**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m = 3316 - 2644 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 - -1?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 35*j**2 + 262*j + 190. Calculate t(-8).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*q = -9*j - 24, 0 = 5*j - 4*q + 39. Let w = 0 + 10. Let a = w + j. Is a bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(2 + (-1230)\/624). Let j be (-1)\/(-7) + u\/546. What is the nearest to j in 0, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013182 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -0.1. Let m = -27 + 25. Which is the nearest to -3? (a) 0 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 18\/(-15) - 269\/(-5). Let t = -52 + d. Let h(p) = -3 + 5 + 8*p**t - 9*p**2 - 1 + p. Determine h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 7. Determine o(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z**2 - 2*z**2)*(6*z**3 - 2*z**3 - z**3).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3.0485\nAnswer: 15.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150031 is divided by 75011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t - 6. Let v(l) = 6*l - 6. Let k(o) = 5*d(o) - 6*v(o). Let i be k(6). What is the derivative of -2 + i - 3*g**3 + 1 wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 6*n - 50, 5*l - 11*n - 21 = -106 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6036?\nAnswer: 6036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8165, -8249, -8435, -8723, -9113, -9605, -10199?\n\"Answer: -51*v**2 + 69*v - 8183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 301324588 - 301324574.0162937. Let v = -0.0162437 - n. Let b = -14 - v. Round b to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 - i**3 + 752 - 14*i**3 - 11*i**2 - 2*i**4 - i - 34*i**2 - 756 to the form n + w*i**2 + d*i + r*i**4 + a*i**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97618.55 millimeters to centimeters.\nAnswer: 9761.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 3*p - 2*p + 0*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 - -167. Let s be ((-5)\/(-3))\/(i\/198). Let a be 2\/((-7)\/((-1365)\/s)). What is the greatest common factor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7973, -7971, -7969, -7967, -7965, -7963?\n\"Answer: 2*k - 7975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 3. Let z(d) = -3*d**2 - 7*d - 12. Let q(b) = 2*b**2 + 5*b + 8. Let s(l) = 8*q(l) + 5*z(l). Let p be s(-3). Let k be p*(-1)\/2*3. Calculate a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*d - 5*s, -2*s + 3 = d - 0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22138262 to the nearest one hundred thousand.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + -171.1. Let h be 4\/18 - 31\/18. What is the nearest to l in 2\/11, h, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 92*v**2 + 979*v - 1142. Give q(11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 9*x - 5*x. Suppose -4*y + 66 = -x. Calculate the remainder when 57 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 2\/9 (c) 0.01 (d) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - 13\/78. Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -19. List the prime factors of ((0 - -1)*z)\/((-4)\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 + -5) - 12 - (5 + -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8004 + 0.1616. Let k = z - -0.038. Let t = -109 + 871\/8. Which is the nearest to k? (a) t (b) -2\/17 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 37 + 40 = 0. Let n be (2\/91)\/((-55)\/o). Is n at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*q + 40*q + 9324. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from kgmnasg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from qaqaqqaatttaasasqaq.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3761, 7470, 11165, 14840, 18489?\nAnswer: 22106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -0. Suppose -5*s + n - 28 = -n, -2*n + 16 = -x*s. Let u(i) = -i**2 + i. Let v be u(-1). Put -1, v, s in decreasing order.\nAnswer: -1, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + 32?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -373 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*q - 18 = 0, 0*h + 5*h - 27 = q. Suppose -g = -h*g + 16. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 6*r - 345. Suppose -k + r = b, -5*b + 3*k + 0*k + 313 = 0. Suppose 0 = 3*s + 17 - b. What is the remainder when 46 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 50*n + 42. Let u(i) = i**2. Determine y(u(m)).\nAnswer: 50*m**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5493, 5762, 6031?\nAnswer: 6300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -15.2, 0.3, 14452 in decreasing order.\nAnswer: 14452, 0.3, -0.11, -15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -639701, -1279402, -1919105, -2558810?\n\"Answer: -g**2 - 639698*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.7 and -661?\nAnswer: -3767.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 1. Let w be q(-1). Let u = 276 - 276. Suppose -56 = -2*d - 2*v, -w*d + u*v + 68 = -v. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -5 (b) 15 (c) 51.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2666023649019 - -0.4.\nAnswer: -2666023649018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = -53*f - 60*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15*k - 16*k + 4)*(-1 + 5 + 1)*(1 + 2 - 2) + 3*k - 3*k - k - 3*k + 4*k - 2*k + (1 + 2*k - 1)*(-3 + 2 + 0).\nAnswer: -9*k + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417*k + 118*k + 59*k + 595 - 547*k wrt k.\nAnswer: -787","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 41048485.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*w**2 - 494*w**2 - 651*w**2.\nAnswer: -845*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (10 + (3 - -3 - (14 + -7))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 68*c - 65*c. Suppose c*l = 14*l - 37. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4 + 579*q**3 - 11342*q**2.\nAnswer: 48*q + 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 750 + -748. Suppose -5*q + s = -2*q - 6, 0 = g*q - 4*s + 6. Solve -5*p - 31 = q*h, 0*p - 5*h = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1 (c) -1\/4 (d) 5\/821\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + 156\/7. Let h be (-9)\/2*2\/(-3). Solve 0*y + 2*q + 4 = -2*y, -l = -5*y + h*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*m**5 + 658*m wrt m.\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3533468*c**5 + 17*c**2 + 3*c + 865.\nAnswer: -212008080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 908604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 18*g + 24. Let j be m(10). Solve -7*c - j = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -18. Suppose -2*d - 132 = -l*d. Suppose -15 + 18 = t. What is the greatest common factor of t and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a. Let s(h) = 5*h**2 + 201473. Give x(s(i)).\nAnswer: 20*i**2 + 805892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-4)\/(-1))\/(-2). Is 5 a factor of m - -9 - -1 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 - d**3 + 3*d**3 + (-6*d + 6*d - 2*d**2)*(0*d + d - 2*d) + (-d - 1 + 1)*(6*d**2 + 7 - d**2 - 6*d**2).\nAnswer: 5*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111 (base 2) in base 10?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 115, 157, 181, 181, 151, 85?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 71*d**3 + 6*d**2 - 12*d + 23. Let a be n(3). Let c = a - 321. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - c - 3. Suppose 17 - 14 = a, 2*d - 44 = 2*a. Suppose d*p - 24*p = 3. Determine s(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 20166609529?\nAnswer: 20166609526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 9 = -2*k, -l - k + 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3960, -4832, -5706, -6582, -7460, -8340, -9222?\nAnswer: -10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and 4105.\nAnswer: 4105.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2394433 is divided by 80?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203 (base 4) in base 8?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(132) - sqrt(132)))\/sqrt(12))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - (-3 - 0). Suppose c*p + 220 = 3*a + a, -2*a - 5*p + 80 = 0. Suppose a = 2*q - 14. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((j\/j**19)\/j))**(-3\/19))**(-26) assuming j is positive.\nAnswer: j**(1716\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28620729 divided by 6.\nAnswer: -9540243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.967 (b) 4 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 6718.\nAnswer: -6718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 3*u - 2. Let t be a(-4). Suppose -2*r + 3 = -t*z - 91, -4 = 2*z. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 576 - 424. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2221422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/117 and 34\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 12578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 14*q**2 + 5*q + 73. What is s(13)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -40. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - 0.2. Let b = p - -0.27. Let o(f) = -16*f**2 + 2574*f + 325. Let q be o(161). What is the closest to -0.1 in q, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 723537\nAnswer: -1\/80393","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 451016701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274526244*q**3 - 117236391*q wrt q?\nAnswer: -1647157464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 30, -8, 3 in descending order.\nAnswer: 30, 3, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10011110?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(18)*-1 + sqrt(162)*-1)\/(3*(sqrt(6) + sqrt(6) + sqrt(60)\/(1*sqrt(10) + sqrt(10)))*3)*-3.\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -3729.\nAnswer: 5966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 7}. Give prob of sequence nna.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019070205 to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 142*g**2 - 22*g - 808. Give t(47).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111001011111110011100 - 100?\nAnswer: 1010111001011111110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -418*m + 0 + 1 - 408*m + 836*m - 5. Give y(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 + 2*b + 1. Let f be l(-2). Suppose 3*t + 13 = -f*a, 6*a - 2*a + 20 = 0. Suppose -h + 62 - 6 = -3*r, t*r - 261 = -5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136661 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208*h**3 - 2411*h**3 + 1206*h**3 - 68912.\nAnswer: 3*h**3 - 68912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4*z - n**3*z**3 + 12*n - 9391*z**3 with respect to n.\nAnswer: 12*n**3*z - 3*n**2*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-63))\/(4\/(-24)*2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5636453928 and -0.3?\nAnswer: 5636453927.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-426 + 44)*(-2)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3223 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2\/7*j**5 - 256\/7*j**2 + 256\/7 - 96\/7*j + 14*j**3 + 0*j**4 = 0.\nAnswer: -8, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.78 + 1.08. Let i = 0.35 - o. Which is greater: i or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 4*t**2 + 0*t**3 + 1\/24*t**6 - 1\/6*t**5 + 0*t**4 + 0 + 0*t. What is p in r(p) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(((sqrt(110) - ((2*sqrt(110) - sqrt(110)) + sqrt(110)))\/sqrt(10) - sqrt(11)) + sqrt(11)) + -2*sqrt(300)*-4)**2.\nAnswer: 18723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8952 - -1.4952. What is the third smallest value in 5, w, -4\/3, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let g(c) = 186*c + 1. What is g(y(x))?\nAnswer: -186*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(833) + 3)*-6*-1*6)**2.\nAnswer: 112896*sqrt(17) + 4330816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.56542305.\nAnswer: 1.69626915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 33*a - 203 - 461 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + -63. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14721 - 2?\nAnswer: -14723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155348?\nAnswer: 2, 71, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -40432\nAnswer: 16172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**3 - 4*p**2 - 3*p - 1. Determine d(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 296946.18911651.\nAnswer: 296943.18911651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62744 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.716 - 0.4?\nAnswer: -42.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 4437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (-2 + (-5 - -1) + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -204. Let d be 3\/27*(w + -1 + 1). Determine f, given that -2\/3*f + 0*f**2 + 0 + d*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = d + 13, -d + 8*y - 7*y - 7 = 0. Let s = -138\/7 + 1532\/77. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001727431 rounded to five dps?\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:54 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1196, -2\/5 in decreasing order.\nAnswer: 0, -2\/5, -4, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 85. Let p(j) = -j - 3. What is the lowest common multiple of b(-23) and p(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -732\/16157 or -1?\nAnswer: -732\/16157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039256473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -58. Let l be (-8)\/g*(-11)\/((-176)\/24). Solve l*z - 3*p = -11, -3*z + 12 = -z + 2*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11314 - -79197\/7. What is the third biggest value in i, -1\/5, -1\/4, 0.5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 take away -0.014?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/10 + 213*h**3 - 826*h**2 + 1291*h. What is the derivative of o(y) wrt y?\nAnswer: 6*y**2 + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1740 and -109\/10.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -2\/15, -0.4 in decreasing order.\nAnswer: -0.1, -2\/15, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 42*m - 7368. What are the prime factors of m?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 18*u**2 + 21*u + 8.\nAnswer: (u + 1)**2*(5*u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1283*f + 4139*f - 1292*f - 167348 for f.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 327*w + z + 323, 0*w - w - w - 38 = -9*w + 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**1*n)*n)\/(n*n*n*n*n\/(n\/(n**(1\/5)\/n))*n))**46\/((n**(-1))**(-5\/3)*(n**(-1\/2)\/n*n)**(-41)) assuming n is positive.\nAnswer: n**(-7841\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212 + -20202011?\nAnswer: -20021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1298.18 and 1.3.\nAnswer: -1296.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 11*n + 70. Sort -4, 2, -21, n in decreasing order.\nAnswer: 2, n, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -463629.463?\nAnswer: -463629.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 4803272.\nAnswer: 1\/4803272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*x = -536*x + 3288. Let y be (-1)\/2*(-1 + 1). Sort y, x, 4 in decreasing order.\nAnswer: 4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 19 + 9 = 0. What is the derivative of 0*s + y + 3*s**2 + 30 + 0*s + 6*s**4 + 43 wrt s?\nAnswer: 24*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*u + 507 = 3405 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 2. Let p(u) = -20*u**2 - 3*u + 7. Let f(z) = -5*g(z) - p(z). Let a(l) = -31*l**2 + 8*l + 8. Determine 3*a(w) - 8*f(w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 776.71915 + -843.104. Let d = s - -66.4. What is d rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, -3, -2258, 88, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -45, -6407 = -5*z - 811*h + 814*h. List the prime factors of z.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21122122200 (base 3) to base 4\nAnswer: 210301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 93\/1 + 2 + 2\/2. Suppose -18 = 26*a - 28*a. Suppose 15*w - n = a*w. Solve 0 = -2*f - 3*v + w, -2*v + 7 = 2*f - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143\/2*f + 1\/2*f**2 - 72.\nAnswer: (f - 144)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.5 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 8*o - 3*o. Let q be (-4)\/(-2) + (-6)\/(-2). List the prime factors of s(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 86*y - 3058. What is the least common multiple of 50 and l(-28)?\nAnswer: 16350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let l(y) = -4052193*y**2. Determine l(a(o)).\nAnswer: -16208772*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/((-2)\/(-8)). Let z = -1 + f. Suppose -52 = -13*x, -129*u - 4*x = -127*u - 12. Put u, z, 2 in descending order.\nAnswer: 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = 919 - 373. Let m be 0 - (40 + 1) - 1. Let s = l - m. Solve -s*h + 4*b = 9 - 35, -2*h + 4*b = -24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2292 is divided by 882?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 4. Let d(o) = 1. Give -c(q) + 3*d(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84798 + -37271. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 147*n**2 + 1311*n + 11037. Determine p(-155).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 1. Let h = -51 - -50. Give w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560213 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2527*z**3 + 1264*z**3 + 1267*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -6. Let n = -10 + o. Let t(f) = 72*f**2 - 1. Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**3 - r - 1. Let y be d(2). Let k = -32 + y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 469, 964, 1459?\n\"Answer: 495*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23733 by -352.\nAnswer: 23733\/352","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649526852?\nAnswer: 2, 151, 6042263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71521711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*v + 3*v. What is the remainder when 95 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-159*h + 22*h + 1587*h**3 - 1582*h**3)*(-11 + 6 - 10) to g + v*h + q*h**2 + b*h**3 and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 84367, 1.\nAnswer: -1, 1, 84367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9.1. Let d = k - 1. Let t = 434 - 434.02. Is d less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a (base 15) to base 8.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 less than or equal to 950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307.9842um to kilometers.\nAnswer: 0.0000003079842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*w + 393 - 333, -w - 60 = -5*c. Suppose -3*v - 14 = -5*l, -5*v = -4*l + 4 + 2. Solve -2*q - q = -c, l*o - 4*q - 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*h - 939571 + 939443. Factor -2\/3 + 1\/3*j**4 + 5\/3*j - 1\/3*j**3 - j**h.\nAnswer: (j - 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1257051*h**3 - 51982*h**2 + 6*h wrt h?\nAnswer: -7542306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 5 + 5 = 0. Suppose i = 4*c - 6 - 442. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1318.\nAnswer: -2\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 - 6976*m**4\/9 - 11666*m**3 - 336200*m**2\/9 - 308264*m\/9 = 0. What is m?\nAnswer: -11, -2, 0, 3503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 1. Let w(u) be the first derivative of 2*u**3\/3 - u**2\/2 - 2*u + 2. Let b(c) = n(c) + w(c). Suppose -2*z - 8*z - 20 = 0. Calculate b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*l + l = 20, 3*l + 8 = -2*h. Which is the second biggest value? (a) -3 (b) -39\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6218 and 7.\nAnswer: 7.6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 3325\/(-152) + 14)*(-24)\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 26*m**2 + 37*m + 195. What is the tens digit of w(30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 31 = -3*f, -f + 10 = 4*v - 1. Let h(w) = -w**2 - 6*w + 10. Let d be h(-6). Calculate the smallest common multiple of (-45)\/(-6) - d\/(-20) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4948*g**4 + 5096*g**2 wrt g?\nAnswer: -118752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + -3. Suppose -9*b = -10*b + 4. Let m be (3 - 4)\/(y\/b). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417188383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*t = -128*t. Suppose t = 5*p - 40 + 15. Solve -4*z - m = -9, -3*z + z - p*m = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b, 223 + 52 = 4*y + 5*b. Let w = y + 19. Let k = -73 - -90. Calculate the remainder when w is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42245 divided by 5.\nAnswer: 8449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 97.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 117*j + 113*j - 6 + 117*j - 344*j. Let p(v) = 22*v. What is d(p(l))?\nAnswer: 66*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/12 + 3*l**3 - 7*l**2\/2 + 2*l + 49. Determine s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - (-6 + 0 + 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 469 - 14?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-8 - (-4 + 188)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (10 - 6) - -1 - 7) + 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/11)*d)**(-43)*(d\/d**(3\/4))\/d**(-3\/4) assuming d is positive.\nAnswer: d**(-1021\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-16)\/20 - 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399.6713 + 0.6287. What is f rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140021 (base 5) to base 8\nAnswer: -146437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let n(o) = -o**2 + 5*o - 5. Let c be n(5). Let a(d) = 9*d + 2*d - 18*d. Let k(i) = 3*i. Let r(b) = c*k(b) - 2*a(b). What is r(h(m))?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 493806 and 1322?\nAnswer: 326405766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26388\/90 + 2\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555813471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:14 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:52 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/6 - 11*u**4\/24 + 26*u**2. Find the second derivative of q(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-4)\/(-3). Let x(v) = v**2 - 2*v + 1. Let y be x(u). Suppose 0*f + 4*f = 0. Is y <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 228325.153 to the nearest 10.\nAnswer: 228330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 + 355. Solve s*b = 19 - 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose 0 = -l*y + 5*y - 5. Let h be y\/(-2)*(4 + -10). Which is the second smallest value? (a) h (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(13) - ((sqrt(104)\/sqrt(2))\/sqrt(4))**2) + sqrt(52)*-3).\nAnswer: 39 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 3*j. Let c be n(4). Let r be (4\/2)\/((-8)\/c). Suppose -13*g + 20 = -9*g. Put g, 0, r in descending order.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1122 and 1514904?\nAnswer: 16663944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42647 * 0.11\nAnswer: 4691.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 601053*y.\nAnswer: 3*y*(y + 1001755)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -1\/12*q**4 + 0*q**3 + 0 - 3*q**2 + 0*q. Let n(p) be the third derivative of p**5\/30 - p**2. Calculate d(n(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let t(y) = 1. Let g(v) = -2*v + 9. Let w(n) = -g(n) + 6*t(n). Let f(m) = 4 + 3 - m - 5. Let s(k) = -3*f(k) - 2*w(k). Calculate s(o(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 3*k. Let l be n(2). Suppose 18 = -5*j + l*j. Let u be (2 - 1)*(10 + j). Solve f = -u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l**2. Let y(x) = 2038*x. What is y(c(t))?\nAnswer: -30570*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36244185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 3. Let t(h) = 64*h + 4. Let w(j) = 25*j + 2. Let y(m) = 2*t(m) - 5*w(m). Let n be (-2)\/3 + (-22)\/(-6). Calculate n*y(c) + 2*b(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2011, 4032, 6055, 8080, 10107, 12136, 14167?\nAnswer: 16200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006845 to five dps.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 2 (c) -0.13 (d) -11 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110.9958 - -0.0042. Let c = n + -111.5. Let b = 1.6 - -0.4. Put c, 5\/2, -0.3, b in increasing order.\nAnswer: c, -0.3, b, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*u**2 - 17*u**3 + 18*u**3 + 11*u**2)*(7*u - 2*u - 3*u).\nAnswer: 2*u**4 - 82*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**7)*g**(1\/4)\/g)**(-47) assuming g is positive.\nAnswer: g**(-987\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 69, 72, 79, 90, 105, 124?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49239134, -49239121, -49239094, -49239047, -49238974, -49238869, -49238726?\n\"Answer: r**3 + r**2 + 3*r - 49239139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u + 447 = 8*u - 1953 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 10. Suppose -3*t = -89 + 74. Suppose 200 = o*s - t*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/3)\/p)\/p*p\/(p\/p**4))\/(p**(1\/3))**(-39) assuming p is positive.\nAnswer: p**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1240595 divided by -5.\nAnswer: 248119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143474106?\nAnswer: 2, 3, 23912351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27160, 26945, 26730?\nAnswer: 26515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/(-72) + (-7 - (19 - 111))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -292 + 2?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 44*g + 5*d - 2683 = -55*g, 0 = 3*g - 3*d + 249 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - x**2)*(11*x + 3*x**3 - 9*x - 3*x).\nAnswer: 6*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-920)\/(-575)*-20\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 10 - 22 - a + 9 + 6*a**2 + a**3 to the form q*a + y + b*a**2 + s*a**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from diiiiddi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 10*s**3 - 3*s**3 + 3 - 4*s**3 - 2*s**3 - 5*s**2. Let p(q) = q**2 + 8*q - 16. Let t be p(-10). Calculate m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269871073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/16 + 3\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 43*q = 104. Solve -q*z**3 - z**2 + 2*z**4 + 18*z**3 - z**2 - 8*z**5 + 16*z**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(3)*6)\/sqrt(8) - (((sqrt(10)\/sqrt(5))**2 + sqrt(2) - sqrt(2))*-1 - (sqrt(18) + 3)))*5.\nAnswer: 25 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12644 - 12643. Solve 5*c - j = -4*b, 14*c - 9*c - 2*b = 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*q**2*x**4 - 11*q**2*x + 9*q**2 - 2*q + 19 wrt x.\nAnswer: -168*q**2*x**3 - 11*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + (-1042)\/1166. Let w = x - -4\/53. Let m be (3\/3)\/4*-2. Which is the second smallest value? (a) m (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2160 divided by -16.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5\/4, -0.27, 0.5, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2466?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2. Let k(r) = -106614770*r**2. Determine g(k(y)).\nAnswer: 79566964275070300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/720 - g**5\/60 - g**4\/24 + g**2. Let o(d) be the second derivative of y(d). What are the prime factors of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 76 = 5*h, 6*v + 4*h = 2*v + 208. Calculate the smallest common multiple of v and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -9 - (12 - (11 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/13, -3, -517?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-1)\/1)*1. Let d = z - -1. Let s = -0.511215 - -0.011215. Which is the nearest to 0.4? (a) 0.4 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 25, 39, 59, 85?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193283048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38164717651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 10*u**2 - 2*u**3 + 10*u**2 + 12*u**2.\nAnswer: -2*u**3 + 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -12. Solve 2*s + j + 3 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pphpppphpphpppp.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 110 = -2*m, 4986675*x - 4986674*x + 39 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 37*u - 11*u + 21*u.\nAnswer: -27*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 14. Let x = i + 0. Let v = -115\/2 - -57. What is the closest to -2\/5 in 0.1, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose 5*b - 7*b = -f. What is the second derivative of 0 + 3 - b*n - 4*n**2 - 3 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5))**21*(y\/(y*y*y**(-1\/7)*y)*y)**(-4\/17) assuming y is positive.\nAnswer: y**(-7377\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -5, 5, 2\/103 in increasing order.\nAnswer: -5, 2\/103, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 9*l**2 - 6*l - 2. Let n(h) = -h**2 - h - 1. Let v(o) = f(o) - 5*n(o). Give v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -4*(-6)\/(-12). Let j(v) = -6*v**2 - 4. Let q(h) = -h**2 - 1. Give l*q(w) + j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*t + 211*t + 1489 = -449*t - 5936 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-11)\/(-20) - (-12)\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 6*g + 5*g)*(5 - 9 - 2)*(-6*g - 4 + 4)*(-2 + 1 + 2).\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/60 + 2*y**4\/3 + 2*y**3\/3 - 11*y**2. Let x be p(16). Solve -2*i + f + 4 = 0, 2*f - x = -3*i + 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(882)*-1)\/sqrt(6)*-2)**2.\nAnswer: -112*sqrt(3) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 + 381. Let u = h + 811. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*n = 20, 3 - 11 = -2*h - n. Let d = 2 + h. Let a(u) = -1 + 0*u - 3 - 3 + u. Give a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 5, -0.4, 8\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/288450 and -125\/3774.\nAnswer: 181435050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5) + -8 - (-1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 10574 - 193922 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**8\/336 - v**7\/30 - v**6\/30 + v**4\/24 + 379*v**3\/2 - 13*v**2 - 70*v. What is the second derivative of u(k) wrt k?\nAnswer: -20*k**3 - 84*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -134. Let u(r) = -r - 270. What is -5*a(k) + 2*u(k)?\nAnswer: -2*k + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 51?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636823 divided by 121.\nAnswer: 5263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 6. Suppose 0 = 15*v + 64 - 9 + 5. Let b(c) = -c + 1. Calculate v*b(l) + n(l).\nAnswer: l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) - (-3*(sqrt(294)*3 + sqrt(294) - sqrt(294) - sqrt(294)) - sqrt(294)) - sqrt(294))\/(sqrt(147)*-2*1).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7490.8 + -5828. Round g to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j + 56*j**4 + 54*j**4 - 108*j**4 wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let k(i) = i**2 - i - 2. Let g be k(3). Let h(v) = 11*v. Let t(q) = -6*q. Let x(o) = g*h(o) + 7*t(o). Determine l(x(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 148317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25684294 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diq when three letters picked without replacement from odgjqqgiqjg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -288 or -22251\/77?\nAnswer: -22251\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43849300 rounded to the nearest 100000?\nAnswer: 43800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -916119073.74\nAnswer: -916119073.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*u - 417. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5054 and -121\/42.\nAnswer: 15162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 + 11*p**5\/60 - p**4\/12 + 4*p**3 - 14*p**2. Let s be o(11). Suppose 4*l - 20 = 4. Solve s*w + l = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77943 rounded to 2 decimal places?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1423582 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 3.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -206.\nAnswer: -206, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 + 680 = 20*m. Calculate the greatest common factor of 1014 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1048 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 5215271\nAnswer: -57367981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 243*v**4 - 1002*v**3 - 1518*v**2 - 1017*v - 255.\nAnswer: 3*(v - 85)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26916681 divided by -11\nAnswer: -2446971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 6. Let d(b) = b. Suppose -4*o + 2*o = -3*p + 20, p + 2*o - 4 = 0. Let t(a) = -4*a + 9. Let n(h) = p*d(h) + t(h). Calculate n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13004680 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.252 - 12.517. Let v = z + 1.055. Let d = -1.11 - v. Round d to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5197824, -5197823, -5197822, -5197821?\n\"Answer: w - 5197825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -408592 + -49?\nAnswer: -408641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, -2, 403 in decreasing order.\nAnswer: 403, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42884 divided by -71.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 824489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/1*(-19)\/(-228)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42370 + -78100661\nAnswer: -78143031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-1 + -7 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/39*((-3)\/(-24) + (-57)\/(-120)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: e280a (base 15) to base 5\nAnswer: 140423220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 17. Let j(y) = y**2 + 9*y + 1. Let v be j(-8). List the prime factors of f(v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.288 - -28.888. Let r = -29 + w. Which is the closest to 0.1? (a) r (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.0975666 rounded to 1 decimal place?\nAnswer: 738.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:13 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1131111 (base 5) to base 13\nAnswer: -95c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:30 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 + 2*s + 1. Let m be j(-2). Let o = -601\/902 - 1\/2706. Which is the fourth biggest value? (a) m (b) -0.2 (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*b + 118*b - 3813 = 56*b for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18.7 or -3\/56?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = 60. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2625 + 13?\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + l + 1 = 0, -5*f + 7 + 0 = -l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1924.3 - 370.7. Let w = j - -2295.2054. Let d = w + -0.19. What is d rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)\/m*m\/(m**7\/m))**(13\/2)*m*m**(-4)*m**(1\/4)*m*(m**(1\/4))**(-1\/2) assuming m is positive.\nAnswer: m**(-615\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67641 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2770*n - 2699. Calculate the remainder when 2527 is divided by h(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510035 (base 7) in base 16?\nAnswer: 4e8e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*q + 113*q - 796. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2004000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 285998056+342\nAnswer: 285998398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-16)\/4 + 3)*-1. Solve 4*v + 0*a - 3*a - 11 = z, -3*a - 1 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1730, -3281, -4822, -6353?\n\"Answer: 5*v**2 - 1566*v - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -581822 times -0.82?\nAnswer: 477094.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 7*t**6\/6 + 5*t**2\/2 - 8. Find the second derivative of s(a) wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26302214.\nAnswer: 2, 13151107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.5. Let m = -170 + 170.3. Which is the second smallest value? (a) z (b) m (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4881.\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.58902 millennia in months?\nAnswer: 379068.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 21927810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose 32 = x*y - 36. Let j = 14 + -8. What is the remainder when y is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10 and -69\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13*-0.06\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0247, 4, 5, -263, -3, 3 in descending order.\nAnswer: 5, 4, 3, -0.0247, -3, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -10589\/3 in decreasing order.\nAnswer: 4, -0.4, -10589\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866581 plus 188589?\nAnswer: -1677992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4666.17 + -4687. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n**3 - 28*n**2 - 23*n + 50. Let r be a(2). Let l be ((-90)\/(-21) - -1)\/(-1). Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2*n - 171 + 21 - 16*n.\nAnswer: -18*n - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.792876ml in litres?\nAnswer: 0.005792876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3 - 3 + (2*t + 4*t - 4*t)*(1 - 1 + 3) + t - 2 + t + 0*t.\nAnswer: 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75531746 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 132001 = -9*l + 202053. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128, -137, -160, -203, -272, -373, -512, -695?\n\"Answer: -r**3 - r**2 + r - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -985 - -1006. Solve -p = -2*q - 2, 3*q + 2 - j = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 at least -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -18. Is ((-11)\/(-3) - 3)*x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/((-31)\/(-1240)*30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/180*(5 - 21)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(1\/27)\/y)\/y)\/(y\/y**9)*((y**(3\/5)\/y)\/y)**(3\/2) assuming y is positive.\nAnswer: y**(1333\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 11) in base 9?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.155132784 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -418, -1696, -3826, -6808, -10642, -15328?\n\"Answer: -426*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.071 and 2260.\nAnswer: 160.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137377 * 13.\nAnswer: 1785901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4, -5*f - 2*t - 3 = 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -110100110100000010010001111?\nAnswer: 110100110100000010010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14772, 29543, 44314, 59085, 73856?\n\"Answer: 14771*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 48147\nAnswer: -144441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 64\/56*7\/2. Let k be 159 + m + -7 + 3. Suppose -b + k = b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2661*z - 5752*z + 2773*z)*(z - z + 3*z + 2) to c*z + n*z**2 + a and give n.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 3:12 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 10 = r, -r - 4*a - 15 = -29 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 968570 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/192 - -437\/192. Which is the second smallest value? (a) -1 (b) 3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3476386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50952\/22572)\/((-1)\/(-9)). Is z at most 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 75.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (30\/7)\/((-92)\/((-85008)\/110))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*2 - sqrt(152)) + sqrt(152))*3)\/(4*sqrt(968)).\nAnswer: 3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 3*g - 3*g)*(5 - 2 - 4) + g + 0*g + g + 0 + 0 - 2*g + 2 - 2 + g)*(-4 - 2 + 3)*(7 - 1 - 2).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325.940191 + 0.783191. Let i = a - -325. What is i rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 231*z**4 - 65349*z**3 - 541788*z**2 - 862236*z - 83808 = 0.\nAnswer: -6, -2, -8\/77, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 10, 1\/10, 1, -2, 4\/125 in descending order.\nAnswer: 10, 1, 1\/10, 4\/125, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/1*(-155)\/(-10). Suppose -5*q - 186 = i - 2312, 2*q - 4*i - k = 0. What are the prime factors of q?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -47*z**2 + 141. Suppose 2*k - 18*k = -144. Let c(o) = -24*o**2 + 70. Let j(l) = k*c(l) - 4*v(l). Differentiate j(u) wrt u.\nAnswer: -56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003403848361 to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:40 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 11.4.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 41*t**2 - 107*t - 136. Calculate the lowest common multiple of c(38) and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4752994754 + -0.4753. What is j rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 2215444?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 232310435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509605 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**4)\/(o**(-2\/7))**(-4\/39) assuming o is positive.\nAnswer: o**(-554\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-18 - -25) + 9) - -27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let l(o) = 2*o**2 + 2 - 2 - 12*o**2. What is l(m(n))?\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -17*s**3 + 5*s. Let l(k) = -8*k**3 + 3*k. Suppose -4*w + 3*i = -42, w - 2279*i = -2277*i + 18. Determine w*z(p) - 10*l(p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-458524)\/7356)\/((-33)\/(-36)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8324*54.\nAnswer: 449496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2732338 = -2450*n + 2401*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -1\/3*g**3 + 10*g**2 + 0 - 3*g. Let z be s(9). Solve 0 = -z*x - 2 - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -47. Suppose 5*f - i - 580 = -6*i, v*i - 242 = -2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 0. Let x = -1\/11 + 27\/55. Sort 3\/14, b, x in ascending order.\nAnswer: b, 3\/14, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -201. Let y be 18\/315*7 + 0. Which is the closest to q? (a) -1 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 l when four letters picked without replacement from {l: 3, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -766513, -3066057, -6898629, -12264229, -19162857?\n\"Answer: -766514*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/((-2)\/6). Let d be i\/9 + 1414\/6. Let k = d + -87. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -14. Suppose 2*d = -2*y + x*d + 6, 2*d + 8 = y. Suppose 4*w - u - 13 = -4*u, 3*u + 19 = 4*w. Sort w, 3, y.\nAnswer: y, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 643 - 41565?\nAnswer: -40b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 45. Let a be (-26)\/(-3)*(-2)\/(-24). Let i = -1\/18 + a. Is i less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 11 (c) -94 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 995459603 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -w + 3 + 4, 0 = -4*x. Let n(k) = 2*k**2 - 8*k - 7. Suppose 3*c + 4*t = 19, -4*c - 5*t = -3*t - 22. Let h be n(c). Solve h*i - w*i + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r + 771. Calculate y(39).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - 7*y)*(8 - 10 + 6)*(10 - 55 - 36 - 11).\nAnswer: 1840*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 8*i + 5*i + 2*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u - 2*j + 24, 0 = -5*u + 3*j + 14. Suppose 15 = -u*f + f. Let x(g) = -2*g + g**2 + 6*g + 2*g + 5. Determine x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -14. Suppose 0 = -z - y*z + 40. Let f = z + -4. What is the highest common divisor of f and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -11. Suppose -3 = -2*f + b. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (145\/(-7) - -4) + 6\/(-21). Let a = f - -366. What are the prime factors of a?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let o = 6 + -5.6. Let v be 1\/((-6)\/(-10)) - (0 + 1). What is the closest to y in -1, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000959 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.037038 * 372\nAnswer: -13.778136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 9*r**2 - 3*r + 18. Let l be t(-9). Suppose -2*s + 49 = l. Solve -5*k - 4*y = 12, -6 = 3*k - k + s*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*f + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2) + 4 - ((-1*sqrt(96))\/sqrt(12) - sqrt(8)))**2.\nAnswer: 48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrjv when four letters picked without replacement from ruvrxxjjs?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-770365.\nAnswer: 385182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -540 + 540.00002795. What is d rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 + 242*x**4 + 11376*x**3 + 259496*x**2 + 2876672*x + 12429312 = 0. Calculate x.\nAnswer: -34, -21, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7073?\nAnswer: 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -27 + (41 - 20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (-225)\/(-135)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 4*z + 2*z)*(-2*z - z + z) + (0*z - z + 3*z)*(0*z + z - 3*z) as m*z**2 + w*z + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 8*s. Let v(n) = 1827*n - 1821*n - 3 + 1. Give v(f(w)).\nAnswer: -18*w**2 + 48*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/41? (a) -0.01 (b) -2 (c) -4 (d) 89.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 + 178. Suppose 4*z - 4632 = k*h, 2*z + 1144 = 3*z + 3*h. Is z a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -203*y + 214*y. Put 5, -4, 3, y in decreasing order.\nAnswer: 5, y, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17.9. Let m = 31.2 + -31. Let u = -5 + 10. Which is the nearest to m? (a) 2 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnqnqqrirqnqrqnr. What is prob of sequence niq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 - 157*z**2 + 52*z + 190. What is p(52)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(-6 + 1 + 4)*((4 + 1 - 4)*(3*m - 2*m - 2*m) - 5 + 5 - 8*m) as v + b*m and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvovjojjvvvvjv. What is prob of sequence ov?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2988 + 26870. Let h be 2\/(-7) - n*(-1)\/(-14). Let u = -332 - h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 14*p - 42. Let v(j) = -5*j**2 + 70*j + 212. Let h(w) = -11*u(w) - 2*v(w). Does 2 divide h(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:10 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03156034491 rounded to 5 dps?\nAnswer: -0.03156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1287 - -2560. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (648\/(-270))\/((-4)\/5). What is the hundreds digit of 6 - (w + -8 - 850)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - -6) - (-45 - -59)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 + 11*m. Let j be l(11). Suppose -o + 7 = 2*i, 5*o + j*o = i + 35. Solve o = -5*z + 3*g, 3*z - z - 5*g = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 482*k + 3. Let b(v) = -2*v. Calculate b(j(d)).\nAnswer: -964*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102278?\nAnswer: 2, 11, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7106001 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 672*p**3 - 663*p**2 - 1338*p = 0. What is p?\nAnswer: -1, 0, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30385, 122098, 274953, 488950, 764089, 1100370?\nAnswer: 1497793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q + 8 = 0. Let s(w) = 5*w**2 - 2*w**2 + w - 2*w**q - 1. Let t(o) = -5*o**2 - 6*o + 5. Suppose 4*m = 21 + 23. Give m*s(v) + 2*t(v).\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (107 - 282336\/2640)\/(-1 - 4\/5)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/9 (b) 1\/2 (c) -1\/26276 (d) 0.2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 81 = 3*o. Let v = 139 - 135. Suppose -v*k + 26 = -2*y, -4*k + 56 = -0*k + 4*y. What is the greatest common divisor of o and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 1. Suppose -18 = -2*j - 4*t, 0*j - 3*j + 2*t + 3 = 0. Let i be (3\/9)\/((-1)\/j). Give l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1210*s + 1210*s + 336*s**2 + (2 + 2*s - 2)*(1 - 1 + s).\nAnswer: 338*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 5. Let m(n) = 1. Let r(h) = 4*m(h) + w(h). Let g be r(4). Factor 36 - 6*v**4 - 8*v + 8*v**2 - 36 + 10*v**g.\nAnswer: -2*v*(v - 2)*(v + 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/12*1*-22. Find the second derivative of -15*x - 40*x - 16*x**3 - 53*x**3 + u*x wrt x.\nAnswer: -414*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a - 1135 = 0. Suppose -5*m + 393 = -a. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*q + 39 = -q, 0 = -2*y - 2*q + 16. Let t(l) = -51 - l**2 - 32 + 140 - 58 + 12*l. What are the prime factors of t(y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.44 times 1.5678\nAnswer: -27.342432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:40 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5255560 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 108.53. Let g = z + 21.47. Let h = g - 11. Which is the third smallest value? (a) -0.5 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*z - 384, -i + 5 = z - 92. Is 102 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 51 + 3 = 0. Let m be 6*k\/(-1 - -3). Let h = -30 - m. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/11 or -1\/4?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*z**2 - 14*z**2 + 0*z**2)*(-4*z + z + z) + (2*z + 2 - 2)*(-2*z**2 + z**2 + 2*z**2).\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/(sqrt(3) + sqrt(15)\/sqrt(5) - sqrt(3)).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -65. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from awglmwp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9417436506 to the power of 1\/2, to the nearest integer?\nAnswer: 97043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -31021*x + 155124. Determine k(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r - 13*r + r**2 - 10*r - r**3 - 10*r**4 + 14 - 16 to the form q*r + u + h*r**2 + o*r**4 + c*r**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 90000 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -18*l**2 - 3*l + 3. Let m = 820 - 815. Let a(j) = 35*j**2 + 5*j - 5. Determine m*g(h) + 3*a(h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose 0 = -n*q + 2*t + 100, -3*q - 15 = -3*t - 117. What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7967 divided by 12?\nAnswer: 7967\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38168 (base 9) in base 13?\nAnswer: b8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1354 + 1356. Let p = -23 - -10. What is the second smallest value in -2\/21, f, p?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)\/r)\/r)\/r**(-2\/13))**(-28) assuming r is positive.\nAnswer: r**(1400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 52 + -14 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:19 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 397*a - 324. What is g(-1)?\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 + 196. What is b rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/81, 0.4, -0.5 in ascending order.\nAnswer: -3, -0.5, -2\/81, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 844*m + 78*m**2 - 843*m + 2 - 2 as z*m**2 + a*m + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/27)*p)**11\/(p**(1\/7)\/p**0) assuming p is positive.\nAnswer: p**(1898\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -956 and -957 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 197 - j - 399 + 202. Let g(z) = 3*z + 5. Let b be g(-2). Let y(i) = 2*i**2 - 4*i. Determine b*y(p) + 4*w(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + j + 4. Let u(k) = 19*k**2 - 2*k - 28. Determine -2*c(x) - u(x).\nAnswer: -25*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1451.\nAnswer: -5\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 2*r**2 + 18*r + 13. Let m be g(-6). What is the highest common divisor of m and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 3, o: 2, m: 1, w: 1}. Give prob of sequence monn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 41*l**2 - 10580*l + 1582. Determine k(258).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -123. Solve p = 4*f - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + -62. What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -40*x - 63. Let j(c) = 51*c + 63. Give -4*j(f) - 5*y(f).\nAnswer: -4*f + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -17754*z. Let w(o) = 5*o**2. Give v(w(q)).\nAnswer: -88770*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5799.291 micrometers to nanometers.\nAnswer: 5799291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -5, 5 in decreasing order.\nAnswer: 5, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1842 by -6.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1897506 by 11934.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1. Let v(b) = -2*b - 1. Let h(s) = 4*n(s) - 2*v(s). Let f(x) = -12*x + 6. Let o(g) = 3*f(g) + 8*h(g). Let q(d) = d - 1. Determine -o(r) - 5*q(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-8\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26*4\/16*2. Differentiate -1 - 2 + s*d - 18*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 3*w - 20. Let z(h) = -w*h - h**2 + 5*h. Let o be z(0). Is o != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*20\/(-8)*(-64)\/(-240).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3540 and -27\/6490.\nAnswer: 38940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -32, -66, -100, -134, -168?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) 12 (d) 109.9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 237*h**2 + 873*h + 68977. Determine z(-79).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 452581332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + d**3 + 10 - 5*d + 9*d**2 - 3*d. Let l(f) = -6*f**2 - 376*f - 952. Let o be l(-60). Give i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30 + 6 - 16 - 17 + 8*z. Let w(h) be the third derivative of h**4\/24 + h**3\/6 - 32*h**2. What is v(n) - 5*w(n)?\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322150 and 9947992.\nAnswer: 248699800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 48 = 33. Suppose 3*a + w - 12 = -4*o, 3*a - o = 17. Solve a*c = 3*f - 19, -4*f - 8 = c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.68 + 0.18. Which is the third biggest value? (a) 7 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 13. What is the remainder when x(5) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 154 = -14*d + 2*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/18, -16.435, 0?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -1, -3, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 305928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 876558469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -56*k. Let y(d) = -2*d**2. What is b(y(n))?\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 354\/2640*-14*(-538)\/(-4). Let y = z + 2748\/11. Find the common denominator of 33\/10 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614622, 1229261, 1843914, 2458581, 3073262, 3687957, 4302666?\nAnswer: 4917389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4*y + 4*u**3 - 15*u**2*y + 43*u*y + 3*y - 3 wrt u.\nAnswer: 12*u**2*y + 24*u - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26031559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48325707.\nAnswer: 3, 883, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let m be ((-6)\/(-15))\/((-15)\/25)*-3. Suppose m*j + 0*j - 18 = 0. Solve -l = 3*g + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/2520 - 5*r**4\/24 + 5*r**2. Let w(c) be the second derivative of m(c). Let h(d) = 12*d**2. Calculate w(h(l)).\nAnswer: 144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 45*u - 167*u + 126 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21514976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50352511 - 0?\nAnswer: -50352511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 - ((-163 - -70) + 32).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**6\/120 + w**5\/20 - w**4\/6 - 4*w**2 - 3*w. Let x(s) be the first derivative of c(s). Calculate x(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2\/3, -1\/509 in ascending order.\nAnswer: -2\/3, -1\/509, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(192)*-4 + -4)**2.\nAnswer: -1024*sqrt(3) + 49168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*z + 21 = 0, x + 39*z - 12 = 44*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - 68*m + 43. Calculate f(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 - -811616?\nAnswer: 811724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - (-3 + 3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1826 and -35\/33.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 + 13*w**4\/6 - 7*w**3\/6 - 30*w**2 + 84*w. What is the units digit of u(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 11. Suppose -3*d + 22 = -5*d. Let s = k - d. Solve -s = b - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + -2 + 8 - -8) + -4 + 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 869860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*v - 18765, v + i - 2489 - 3752 = 0. List the prime factors of v.\nAnswer: 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = -2*n - 87. Let w be (6 - n)*(1 + 0). Let x = w + 447. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5 + 355\/70)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 + 16*y. Let k be w(5). Solve -3*l + 2 = t - 4, -k*l = t - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26939436809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 49*o + 6. Let c be s(-4). Let k = 102 + c. What is k rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -11*g**4\/12 + 205*g. Let h(m) = -19*m. What is n(h(w))?\nAnswer: -3971*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 2 - (sqrt(7) - (0 + sqrt(1008)))**2.\nAnswer: -845 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*p + 7 - 4 = 0, -4*w - 2*p = -14. Suppose -q + 0*o + o = 2, 4*o = w*q + 6. Calculate the greatest common divisor of 346 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 62*g**2 - 4*g - 2. Let y(d) = -186*d**2 + 11*d + 6. Let x(w) = -11*t(w) - 4*y(w). Let l(q) = -2*q. Give l(x(u)).\nAnswer: -124*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/5532468 and -19\/35505?\nAnswer: 248961060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140037599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - -930. Suppose 4*x + 188 = w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573089 divided by -55?\nAnswer: 52099\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7595 - 7594. Put q, -5\/4, -0.01, -1, -3 in ascending order.\nAnswer: -3, -5\/4, -1, -0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-6 - 6)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(-2*k + 6*k - 2*k) - 776*k**2 - 700*k**2 + 1262*k**2.\nAnswer: -218*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*b**4 + 132*b**3 - 132*b**3 + 1 + (-2*b + 5*b - b)*(-14*b**3 - 6 + 6) + (-3*b - 3*b + 5*b)*(2*b**3 - 12 + 12).\nAnswer: 22*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33119, 33121, 33123, 33125?\n\"Answer: 2*w + 33117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 12 = 2*j. Let m = -2 - j. Let b be 13\/(-21) - 1\/(-3). Is b greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9 + v - 1 + 1. Let n be k(-7). Solve -2*z - n*y = 0, -5*z - y - 13 = -5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/12 - n**3\/6 + n**2. Let u be ((-8)\/(-10))\/((-2)\/15). Let r be j(u). Solve 3*s + 0*s = 2*o + r, 2*o - 4*s = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 204\/(-72))*(2 - 1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a64ac - 2?\nAnswer: a64aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 = -4*z, -3*z - 5*u = -6*u + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 p when four letters picked without replacement from {x: 3, p: 12, f: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(6\/5)\/(x**(2\/3))**(-2\/31) assuming x is positive.\nAnswer: x**(4\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:49 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = 3. Let j(g) = g**2 + 8*g - 12. Suppose -3*d - 5*x = -2*d - 17, 0 = -5*d - 3*x + 19. What is the least common multiple of j(d) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26904 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 5*k + 3. Let q be z(3). Suppose u - 14 = -4*c, c - q = -5*u + 4*c. What is the least common multiple of 14*(17\/(-4) + 4)*-4 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -111, -118, -123, -126?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from gsggubhbubuubgx.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (0\/(-3) + -5). Let r = 18.538 + -0.038. Let l = 19 - r. Which is the closest to -2\/3? (a) l (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 1\/7, 5\/9, 2, 1\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (3 - 0)) + (37 - 39)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -118962453*l**2. Let p(s) = -s**2. Determine u(p(d)).\nAnswer: -118962453*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -136. Let u = 52.3 + f. Round u to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/55*22080\/(-576)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l + 165. Let q = 97 - l. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*u + u + 6 = 0, 27 = 4*d + u. Suppose 212 = 2*k - 0*k - c, 0 = -2*c + d. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**3 + 11*d**2 - 16*d + 30. What is t(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 13*m - 5 = 0. Let k(p) = p + 5. Let d be k(0). Let o be (-7)\/d + (-1 - -2). What is the third smallest value in -3, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2696 and 285102?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7392982109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = v - 0*v + 2*l, 0 = -4*v - 4*l + 40. Suppose -4*y + v*y = 0. Suppose 0 = -4*c - 2*x + 68, 0*c - c - 5*x - 1 = y. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 1439*q - 2869*q + 1451*q + 83, q = -4*b - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(1584)) - (sqrt(1584) + (sqrt(1584) - -2*sqrt(1584)) + -5))**2 + -5 + (sqrt(121) - (2*sqrt(121)*6 - sqrt(121)))\/sqrt(11).\nAnswer: -1210*sqrt(11) + 158420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 61. Suppose 39 + 6 = j. Let y = j + a. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/21 and -64\/303.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -40, -26, -8, 14, 40?\n\"Answer: 2*t**2 + 4*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-4)\/14 - (7389\/(-21))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13524 or 6148?\nAnswer: 6148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 5. Determine c(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50940 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 - -4. Let h = 332 + -4982\/15. Let n = -28 + 32. Which is the nearest to 1\/2? (a) n (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a second?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + w**3 + 2*w**3)*(w**2 - 3*w**2 + 0*w**2 + (10 + 16 - 4)*(0*w**2 + 0*w**2 - w**2) - 2 + 2 - 4*w**2 - 3*w**2 - 2 + 2).\nAnswer: 62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -8*z**2 + 0*z - 2\/945*z**7 + 0 + 0*z**6 - 1\/108*z**4 + 0*z**3 + 1\/1512*z**8 + 1\/135*z**5. Factor m(n).\nAnswer: 2*n*(n - 1)**3*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {o: 8, e: 1, j: 2, n: 5, f: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdhh when four letters picked without replacement from jhajdjjahdddd?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21*y - 1. What is n(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 18 (b) 3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 smaller than -627474\/2755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3fd5d (base 16) in base 13?\nAnswer: -92020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*c**3 + 4*c**3 - 2*c**3)*(2 - 2 + c) + c**4 + 2*c**4 - c**4)*(-1 + 3 + 0)*(-3 + 0 + 10)*(-c - 2 + 2).\nAnswer: -112*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1108 - -2149\/2. Find the common denominator of l and -29\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.26, -1\/4, 4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*b = -5*b - 7, -4*b = -q + 6. Solve -14 = -4*h - q*m, -3*m = 3*h - h - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/78316476 and 21\/94?\nAnswer: 78316476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z**3 - 6*z**3 - 48*z**2 - 9*z**3 + (z - 3 + 3)*(0*z**2 - z**2 + 2*z**2) - 8*z**3 + 20*z**3 - 5*z**3.\nAnswer: 4*z**3 - 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4662 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 279 + 297 = 0. What is the nearest to -1 in 8, 0, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 410252\/49 or 8371?\nAnswer: 410252\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3364, -212, -3788, -7364, -10940?\nAnswer: -14516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajja when four letters picked without replacement from jajjja.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:43 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - t - 146, 0 = -3809*p + 3806*p + 3*t - 84 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -347\/93?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 0.02 (c) 45\/2 (d) 2\/33 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2112541*k**2 + 2*k - 310052.\nAnswer: 4225082*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -3) + 14 - (-2 + 2 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(1\/(-3)). Suppose -j*y = -9*y + 55. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87860 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 32 + 96 + 38*o - 35 to the form a*o + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 330166296?\nAnswer: 2311164072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybyy when four letters picked without replacement from bybyuybuybybyuyyb?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158924838\/2471 - -64316. Let d = s - -4960\/22239. Sort -0.2, d, 2\/19, 2 in descending order.\nAnswer: 2, d, 2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djppppsjpppjssspjsj. What is prob of picking 1 d and 1 s?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.9 (c) 4 (d) -5.81 (e) 8\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 - -127. Let n(k) = -k**2 + 78. Let g be n(0). Suppose -2*f = -3*u - 13, b*u + 11 = -3*f + g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 795.7757*-0.1\nAnswer: -79.57757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/(2 + 32\/(-15)). Suppose -5*o = -f*q + 55, -2*q - 3*q = -o - 35. Calculate the lowest common multiple of 22 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 77*s**2 - 286*s - 10844. What is g(-75)?\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:21 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 4\/7, 2, -86279 in increasing order.\nAnswer: -86279, -0.05, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - d**3 + 5*d**2 - 3*d.\nAnswer: -d*(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-2)*(-13)\/(65\/80). Let j = -91 - c. Suppose 2*w + 4 = 12. What is the remainder when j is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -836, -1256, -1678, -2102, -2528?\nAnswer: -2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/24*96\/(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100000000?\nAnswer: -11111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - 340*o + 136. Calculate u(50).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 25\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 9. Let t be (-2)\/n*(-3 + 1). Let g = 7\/34 + -3\/34. Which is the second biggest value? (a) 4 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/202 and -47\/6060707.\nAnswer: 12121414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 4) + -28 - (3 - 3 - 10) - 8\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r. Suppose 5*g - 3*s - 4 = 0, 21 = 4*g - 3*s + 16. Let u(k) = 14*k**3 + 2*k. Give g*u(v) + 2*j(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*b + 270?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 661.6 + -714.86. Let i = -54 - k. Round i to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 58*n**2\/5 + 122*n\/5 - 62\/5.\nAnswer: -2*(n - 1)**2*(n + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 13*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 111.8, -24, -0.52, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239935*v**2 - 374942*v wrt v?\nAnswer: -479870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5824 + -5821. Which is the closest to 1\/2? (a) r (b) -5 (c) -2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 - 42. Let w = 27 + l. What is w rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 1 + o**2 + 0*o**2)*(-o - o + 3*o)*(2*o + 2*o + 0*o)*(23*o + 18*o - 34*o).\nAnswer: -28*o**5 - 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 176. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2105 and -133\/22734.\nAnswer: 113670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1948*-8.48653.\nAnswer: -16531.76044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1336023 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 5, w: 1, a: 1, q: 3, h: 1}. Give prob of picking 1 j and 1 h.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(0 - 4\/(-8)). Let h = -3 + 3. Let o be 2 - ((-6)\/3 - h). Solve -k = -5*t + o - 33, -p*t = 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 0.22, 1\/2 in descending order.\nAnswer: 1\/2, 0.3, 0.22, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 122, 206, 308, 434?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.019*-1.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/8)\/(7\/(-84)). Let x = 92 + a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -21. Let h = -1 - v. Let l(t) = -t - 1. Let i(b) = -8*b - 5. Calculate h*i(k) - 6*l(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201201 (base 3) to base 14.\nAnswer: -661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*g - 77*g - 292*g to the form u*g + p and give u.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9332 <= 8158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-4) - 3\/(-12). Let h = r + 2. Let l(c) = -2*c**2 + 0 - 2 + 1 + 2. Let x(b) = b**2 - 1. Give h*x(s) - 2*l(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 4*c + 5*c)*(-3*c - 4*c + 5*c) + 619*c**2 + 631*c**2 + 3*c + 10 - 1249*c**2.\nAnswer: 5*c**2 + 3*c + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 - 5*n**2 - 151*n + 5. Let j(o) = -o**3 - 3*o**2 - 75*o + 3. Give 5*j(b) - 3*m(b).\nAnswer: 7*b**3 + 78*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (0 + 2*(-2 + sqrt(50)) + -4)*5.\nAnswer: -33 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61817 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -81, -166, -275, -402, -541, -686, -831?\n\"Answer: f**3 - 21*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1573 - 65657?\nAnswer: -64074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67974198 or 67974197?\nAnswer: 67974197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -24383.\nAnswer: 24383.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(17\/118) - (-8 + 6 - -4). Calculate the greatest common divisor of 38 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.49*-0.91.\nAnswer: -2.2659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-9))\/(4\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 - 1\/72*z**4 + 1\/12*z**3 - 1\/6*z**2 + 14*z. Factor y(f).\nAnswer: -(f - 2)*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*n - 3*o - 339, -5*o - 147 = -2*n. Let z = -249 - -284. Calculate the remainder when n is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v - d + 16 = 0, 0 = 5*v + 3*d - 18. Which is smaller: -7 or v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/330)\/((-2)\/((-16)\/(-6)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/30 + 212*c**2. Let u(y) = 4*y**2 + 5. Give u(r(x)).\nAnswer: 16*x**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -240, -295, -350?\n\"Answer: -55*x - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149300420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 650435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 22377 + 0*v - 11169 - 11208.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 5*c - 3. Let p be g(-4). Let b(k) = -5*k - 1. Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 27*q**2 + 101*q**2 - 29*q**2 - 29*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7442*s**5\/7 + 296948*s**4\/7 + 3639644*s**3\/7 + 12544272*s**2\/7 - 1260414*s\/7 + 31212\/7 = 0. What is s?\nAnswer: -17, -6, 3\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 55.84 (c) -5 (d) -0.1 (e) 2\/5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -457a2 + 1?\nAnswer: -457a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -71. Put s, 5\/2, -0.2, 0.4 in descending order.\nAnswer: 5\/2, 0.4, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/13 (b) 1 (c) -0.5 (d) -5 (e) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1288 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 + -1 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 12*a + 1. Let l be v(12). Let h(f) = 28*f - 5. What is the least common multiple of h(l) and 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x. Let u(d) = 6*d**2 + 6*d - 2. Let k be (-4)\/5 + 504\/105. Suppose 42 = k*h + 26. What is h*c(p) - u(p)?\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 109?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/7)\/n*n**(-1\/4)\/n*(n**2)**(-5\/11) assuming n is positive.\nAnswer: n**(-1149\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 - 0)) + (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 30*r**2 + 33*r + 58. Let w be t(-31). Sort 2, w, -110, 1 in ascending order.\nAnswer: -110, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 27*g**2 + 14 - 20*g**2 - 5*g + 4*g + g**3. Let d be n(-8). Is d greater than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4 in increasing order.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7961337 to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 7337.\nAnswer: 7336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u - 110. Let l be d(-12). Suppose -5*x - 5*h = -390, 12 = x + 3*h - 62. What is the highest common divisor of x and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/220*15\/54\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1.69242 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 67. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = d, 2*d = g - 3*d + 11. Suppose 3 = q - g. What is the greatest common factor of 49 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4181, -8387, -12589, -16787, -20981?\nAnswer: -25171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(7) - (sqrt(7) - (sqrt(7)*2 + sqrt(7) + sqrt(7))**2)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 361, 439, 517, 595?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 3*i - 190 + 190 + 5*i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79767?\nAnswer: 3, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*s**2 + 2)*(62 + 4 - 20).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/5 + (-64)\/(-80).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1225*b**2 - 13295*b**3 + 1225*b**2.\nAnswer: -13295*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-2*6\/36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxd when four letters picked without replacement from doddxdoo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (0 + sqrt(80))*3 + 1 + -2*sqrt(80) + (sqrt(80) + 2 + 4 + sqrt(80) - sqrt(80) - 2*sqrt(80)*-1))**2.\nAnswer: 280*sqrt(5) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 227 and 370.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2. Let a(g) = -594*g. Calculate a(w(f)).\nAnswer: -6534*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d*d)**36\/(d\/d**(-1\/7)*d**(1\/4)) assuming d is positive.\nAnswer: d**(2229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*m - 128, -536*k - 538*k + 5*m = -1075*k - 16 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-9)\/(-4))\/(-9)) + 6. Put a, -1, -1\/4, 0.8 in descending order.\nAnswer: a, 0.8, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3))\/(1\/1). Let q be n\/15 - 78\/(-15). Suppose l + 3*l - q*y = 206, 3*l - 143 = -2*y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-14) + (-360)\/315. Let w(q) = -4*q - 1. What is w(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 - 120*x**4 - 1092*x**3 - 4158*x**2 - 7209*x - 4698.\nAnswer: -3*(x + 2)*(x + 3)**3*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 2.725?\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let o(m) = m**2 - 8*m. Let w be o(8). Suppose w*t = y*t - 52. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311.61 - 312. What is the closest to 0 in 2, -4, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let i(k) = k - 5. Let h be i(v). Suppose 28 = 4*t - h*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + t - 3*t)*(-2*t - 3*t + 3*t)*(-t - t + t) + 5*t**3 - t + t as j*t**2 + r + x*t + a*t**3 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(0*c + 5*c**3 + 0*c + (1 + 1 + 0)*(-51*c + 13*c**3 + 51*c)).\nAnswer: -31*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7947 and 2192187897.\nAnswer: 7947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 2*j + 2. Let p be k(-3). Let o be ((-6)\/p)\/(1\/(-4)). Suppose -2*x + 37 = g, 2*x + o*g - 43 = -0*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 14*w + 36. Let g be k(-8). Is 615*-4*(-3)\/g a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 444*f + 1350.\nAnswer: -2*(f - 3)*(f + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527.2818 milliseconds to nanoseconds.\nAnswer: 527281800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggylyamw. Give prob of picking 1 l, 1 y, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 15. Let p be z(-12). Calculate the highest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3.8 (b) 2\/11 (c) 0.2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = y - 2*o, -2*y + 5*o = -y - 32. Let j = 4 + -2. Suppose -2*h = -3*s - y, -s + 3*s = -j. Solve 3*m = -4*g + 11, -5 = h*m - 2*g - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3 - 5 - 2*m**3 + 6*m + 3*m**3 - 8*m + m**2. Let s(i) = 2*i**3 + i**2 - 3*i - 3. Determine -6*c(b) + 4*s(b).\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442 + 190. Is 1 - 2 - r\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014468 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10.77+-0.3127312588\nAnswer: 10.4572687412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 221.5. Put -18, -2\/3, -4, z in decreasing order.\nAnswer: z, -2\/3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 7 - 184*m + 1383*m + 90*m.\nAnswer: 1289*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 - 380 = -5*q. Let i = -135 + q. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1381 - -1441. Let t = 30 + 240. Calculate the greatest common divisor of t and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3539 and -0.1?\nAnswer: -353.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 3*d - d - 2 - 3*d + d + d + (2*d + 3*d - 3*d)*(2 + 0 - 9).\nAnswer: -14*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 236 or 0.026?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 2*p**2 + 10*p - 1. Let s(l) = 1496*l**3 + 2430*l**2 - 30*l + 3. Let a(j) = 3*k(j) + s(j). Find the third derivative of a(t) wrt t.\nAnswer: 8994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*k - 47 = 0, -1019*o - 1896 = -1022*o - 660*k for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38006 and 7?\nAnswer: 266042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230 + 114. Let k = 126 + a. Solve 3*f = -2*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 + 110*z. Let y(o) be the third derivative of o**4\/24 + o**2. Calculate y(d(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbboobbob. What is prob of picking 2 b?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/18*1480\/1036*12\/(-10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, 631, 3103, 6585, 11083, 16603?\nAnswer: 23151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*0)\/(40\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-837*w**3 - 157*w**3 - 416*w**3)*(-8 + w + 8 + 7) to t*w + c*w**2 + y*w**4 + v + o*w**3 and give y.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8658.9 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -186. Suppose -4*d = o*v - d - 103, 4*d - 20 = 0. What is the remainder when v is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*j = 3*c + 12, 12 = -3*j. Let q(w) = 4*w**c + 0*w**2 - 3*w**2. Let h(i) = -i. Calculate q(h(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -v - 10, 5*y + 2*v = 4*y - 5. Let q(f) = 5 + f + f**y - f**2 - 5. Let r(p) = -3*p**3 + 5*p**2 - 5*p. What is 5*q(k) + r(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let w = 11.7 + 102.3. Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336010.3ml to litres.\nAnswer: 336.0103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.09006l to millilitres.\nAnswer: 92090.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + 18\/4. Suppose 0*g = -3*g + 3*z + 219, -z + 3 = 0. Suppose 4*f = -a - 2, g = 4*a - 0*f - r*f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700\/115 + (-10)\/10*(13 + -7)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 205202 (base 10) to base 16\nAnswer: 32192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -63253*y. Let g(a) = a. What is g(p(x))?\nAnswer: -63253*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56419*t - 15052 + 7525 + 7527.\nAnswer: 56419*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 16*w - 39. Let s(t) = 19*t - 2. Let b be s(-1). Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -236*h + 1216. Let p be b(11). Sort p, 3\/2, -5 in ascending order.\nAnswer: p, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/8 - 600\/(-400).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11133093*g**2*h**2 - 28236259*g**2 - g*h**2 wrt h?\nAnswer: -22266186*g**2*h - 2*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Let m(f) be the first derivative of 8890*f**3\/3 + f**2 - 4*f + 20. Let g be m(s). What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.128 (b) 3 (c) 2765 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, d: 1, s: 2, i: 4, k: 3}. Give prob of sequence sis.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72165557*z**2 + 10134570.\nAnswer: -144331114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 7. Let s(y) = -2*y - 7. Suppose 0 = -5*v - 0*v + 10. Let d(j) = v*s(j) - 3*p(j). Determine d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b - 3*b + (b - 4*b + 0*b)*(-2 + 1 + 2) - 4*b + 5*b - 3*b)*(2*b - 5*b - 3*b) in the form t*b + w + g*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 128, 306, 558, 884, 1284, 1758?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((1\/9)\/(20\/60))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 107. Let y = 94 + g. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**7\/210 + 19*k**3\/6 + k**2\/2 + 2*k + 13. Let q(l) be the second derivative of v(l). Differentiate q(x) with respect to x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/11 - 28*z**2\/11 - 430*z\/11 - 1200\/11 = 0?\nAnswer: -5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwq when four letters picked without replacement from {d: 7, q: 2, w: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 8. Calculate s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-168)*12*(308\/8)\/(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**3 - 165*w**2 + 918*w - 1512 = 0. What is w?\nAnswer: 3, 6, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2 - (0 + -1). Let l = -0.88 - -1.28. Which is the biggest value? (a) l (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 161 + 39*f**2 - 161 as n*f**2 + h*f + d and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10837, 21530, 32221, 42910, 53597, 64282, 74965?\n\"Answer: -u**2 + 10696*u + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7572, -15188, -22804, -30420?\n\"Answer: -7616*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1573)\/66)\/(66\/(-36))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 537*t - 357*t - 1279 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48528 is divided by 9664?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56983, -113733, -170475, -227215, -283959, -340713?\nAnswer: -397483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**5 - z**3 - z**2 + z. Let r(i) = -3*i**6 + 5*i**5 + 5*i**3 + 15*i**2 - 5*i. Let v(h) = -r(h) - 5*u(h). What is the third derivative of v(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5595474 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**3 + 9*f - 9. Let v = -11 - -7. Let s(p) = 3*p + 0 - 4 + p + 5*p**3. Determine v*o(h) + 9*s(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 30 = 2*f. What is the units digit of 9\/(-6) - (-117)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**2*z - u**2 + 10*u*z + z + 2465 wrt z?\nAnswer: -2*u**2 + 10*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - i = 0, 9 + 7 = -4*a - 4*i. Do -1\/376 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738684132.\nAnswer: 2, 3, 37, 1663703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let s(h) be the first derivative of -13*h**3\/3 - 7. Determine q(s(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from anjzg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 477.\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - 47*c + 15. Let q be r(9). Let a(d) = -d**2 + 12*d + 15. Let l be a(11). What is the highest common divisor of q and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -951.5582 rounded to the nearest 10?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let a(i) = i**2 - 295*i - 1. Determine w(a(d)).\nAnswer: 2*d**2 - 590*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 1139310*d**2 + 50135448*d = 0 for d.\nAnswer: -44, 0, 379814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:43 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {b: 3, k: 5, v: 1, j: 1, o: 1, i: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1234743, 1234634, 1234523, 1234410, 1234295, 1234178?\n\"Answer: -z**2 - 106*z + 1234850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/10)\/(-6 + 87\/15). Let n(j) = 4*j**3 + 2*j**2 - 6*j - 3. Let v(h) = 3*h**3 + 3*h**2 - 6*h - 4. Let c(g) = r*v(g) - 2*n(g). What is c(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 - 13 = 0. Let g be (5\/(30\/(-12)))\/(-2 + 3). What is the third biggest value in g, 1\/9, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23218 times 0.16\nAnswer: 3714.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1*-4 + (-2*-4*sqrt(104) - sqrt(104)))\/(6*2*sqrt(128)*5))**2.\nAnswer: 13\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/9 + -10\/9. Let z = 7\/15 - y. Let h(m) = -m**3 + 9*m**2 + 8*m + 22. Let j be h(10). Which is the biggest value? (a) -2 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*q = -5, 0 = -2*g - 3*q + 2*q - 15. Let w be 3\/2*4\/6. What are the prime factors of w\/(-5) + (-51)\/g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 2. Let q be d(1). Suppose -4*m + 20 = 2*h, q*h = -h + m + 6. Let j be h*(30\/4 - 4). Solve -5*w - 8 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywswx. What is prob of picking 1 s and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 12 = -4. Let f(u) = -3 - u + 11*u**2 - 2*u**2 + 2. What is the remainder when 33 is divided by f(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24667348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266*b**3*d**2 + 17*b**3 + 2*b**2*d + 54491*b*d**2 - b*d - 11901*b + 2 wrt d.\nAnswer: -532*b**3 + 108982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.528286 meters in centimeters?\nAnswer: 952.8286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 425. Let f = -11019570 - -11019381.999814. Let v = f + c. What is v rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6326.839 decades?\nAnswer: 63.26839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z - q + 3, -5*z + 5*q + 5 = 0. Find the third derivative of -1 - l**2 + z - l**2 + 3*l**6 wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42523 (base 9) in base 3?\nAnswer: 1102120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -10. Let r = 0.1 - -0.4. Let u = 289\/65 - 23\/5. What is the closest to 2\/7 in r, g, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 510 - 508. Let n(d) = -d + 4. Let g be n(6). Let x be g\/(3\/c - 2). Solve 4*z + 0 - x = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**2 - 6*x + 17. Does 40 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.06 + 6. Let y = k - 0.34. Let b = -0.39 - y. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 584706505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 729 + -663. Suppose 5*x - 3*x - n = -r, 3*x + 291 = 5*r. What is the highest common divisor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 2515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16610 and 604?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 9:43 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/3601 - 406949\/43212. Find the common denominator of 10\/(((-8)\/3)\/1) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i. Suppose -t - 2*t = 0. Suppose 4*b - 11 = -3*p, b + 10 = -t*p - 5*p. Let x(f) = 3*f. Give p*a(j) + 5*x(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -19. Calculate the highest common divisor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 + 289*k - 7842. What is h(23)?\nAnswer: 4095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = -4*y. Suppose -4*r + 10 = b + y*b, 2*r + 8 = 4*b. Suppose -5524 = -4*m - 2*i, b*m - 2*i - 6887 = -3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*c**4 + 88*c**2 - c.\nAnswer: -6120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(40)\/(sqrt(4)*1) + sqrt(160)*-2)\/((2*sqrt(88))\/sqrt(11)).\nAnswer: -4 - 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 4.62 (b) -20\/7 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 + 1 = 0. Let o(r) = -5*r + 2*r - 2*r + t. Determine o(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -605\/6289 + -3\/331. Sort 0, l, 0.11, 1, -3 in decreasing order.\nAnswer: 1, 0.11, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852 divided by 2?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19630b + 2b?\nAnswer: -1962b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3837937 * -14\nAnswer: 53731118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**39)\/j**(-3)*j**(14\/3)\/(j*j**(1\/30)*j))**(-9) assuming j is positive.\nAnswer: j**(-4107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 79414*g**2 + 1429695*g - 6433992 = 0. Calculate g.\nAnswer: -79432, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and -5 + 1 + 19 + 2.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*w + 182 - 34, 0 = z - 4*w - 12. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-20) - 7\/(-5). Suppose -m + j*i = -3*m + 32, m - 4*i - 6 = 0. Let p = 22 - m. Solve 0 = 4*y + 12 + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -264*c + 4223. Give j(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2058 * 9.6\nAnswer: -19756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) -0.5 (d) -30 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqvv when four letters picked without replacement from qqvvvvqqqqqqqvqq?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**5 - w**3 + w - 2. Let m(y) = 14*y**5 + 40*y**4 + 104*y**3 + 40*y**2 - 109*y - 62. Let p(u) = 9*l(u) + m(u). Find t such that p(t) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 81\/(-15) + (-4)\/(-10). Let m be ((-4)\/2)\/(-2) - -5. Let o be (-96)\/(-189) - m\/27. Which is the biggest value? (a) 1 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - 3*i**2\/2 - 2*i - 2. Calculate j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 847234269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -61 + 776*d + 793*d - 1554*d - d**3 - 18*d**2 - 13. Give t(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**3 + 2*a**2 - 6*a + 5. What is the remainder when 451 is divided by d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.1. Let r(w) = -w**2 - 9*w + 2. Suppose 15 + 3 = -2*q. Let x be r(q). Which is the closest to f? (a) x (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*r**3 + 362*r**2 - 6*r - 20.\nAnswer: -2*(r - 5)*(4*r - 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2388 or -2341?\nAnswer: -2388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21710004 a multiple of 2504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74622.\nAnswer: 2, 3, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/46 - 19\/184. Which is smaller: l or 0.07?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 6*h = 24. Let l be (41 - h)\/(-7)*1. Let d(u) = -13*u - 2. Let p(o) = 6*o + 1. Calculate l*p(i) - 2*d(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 + 706550\/35 + (57\/(-7) - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16, -5*z + 0 + 32 = 3*r. Let d = z - 0. Solve 13 = -3*v + 2*w, 2*w = -d*v - 0*w - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.077 and 229.\nAnswer: 17.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/5, 0.2, -237, 1\/4, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/(33\/(40656\/(-128))).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 174\/(-5))\/(-8*(-30)\/(-800)). Suppose -91 = 5*j - 676. Is j at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 0, -2638296*z + 2638297*z = -5*i - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, f: 3}. What is prob of picking 2 g and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061597 is divided by 687014?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256328841 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.492641 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (5 - -20)*(-603)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8401?\nAnswer: 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-1\/40)\/(n**(-1))**(2\/43) assuming n is positive.\nAnswer: n**(237\/6020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 5203*l\/4 + 54411\/2.\nAnswer: (l + 21)*(l + 5182)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 7*q**2. Suppose -4*j = 5 - 5. Suppose 0*l - s = -l + 4, 5*l - s - 32 = j. Calculate z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {r: 1, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from otoontnoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:15 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1978 - -39608598671?\nAnswer: 39608596693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**3)*c*(c\/(c*c\/(c*c**(2\/25)*c))*c)\/c)\/((c**5\/c)\/(c**1\/c)) assuming c is positive.\nAnswer: c**(-98\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:14 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-507)\/(-12) - 495\/(-180) - 370\/(-37)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -9) + 0\/4. What is the remainder when ((-46)\/3)\/((-6)\/x) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y - 206 = r, 2*r + 2*y = -380. Are -187 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -28 + 26. Let x(w) = w**3 + 2*w**2 + 2*w + 4. Let v(k) = 4*k**3 + 9*k**2 + 9*k + 17. Give n*v(f) + 9*x(f).\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 19*p**2 + 10*p - 9. Let q be j(9). Solve o - b - 4 = q, 1 - 2 = -o + 4*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 6 + 6 - (-1 + -5). What is the greatest common divisor of 1818 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40534200 divided by -1575?\nAnswer: -25736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 601.5532 decades?\nAnswer: 72186.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 53\/11. Let f = -3 - 0. Which is the second biggest value? (a) f (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208521.3 grams to micrograms.\nAnswer: 208521300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Suppose q*b = -0*b + 84. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -878.46 - -869. Let u = -13 + 4. Let m = u - y. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 + 2*h + 21. Let u = -628 + 652. Suppose 337 = -u*s + 97. What is w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 21*s = 30 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.5. Let f(p) = -p + 4. Let z be f(4). Let n = -5.8 + 6. What is the biggest value in w, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*4\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 5, -29, 0.4, -2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 5*x**3\/3 - 45*x**2 + 325*x - 865. What is r in y(r) = 0?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 22*x + 34891 = 0. Is 40 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -780.361 + 780. Let z = t + 5.381. Let f = z - 0.02. Which is the third biggest value? (a) 0.3 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -821*p - 821*p - 817*p - 426 + 2458*p as t*p + b and give b.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**6*v + 18*a**3*v + a**3 - 2*a**2 - 5*v + 2 wrt a.\nAnswer: 960*a**3*v + 108*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-2\/5)*m))**18\/((m**0*m)\/m)**(-3\/5))\/(m\/(m*(m\/(m\/(m\/(m\/m**7))))\/m)*m*m**(1\/6))**6 assuming m is positive.\nAnswer: m**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -60*k**2 - 7*k + 58. Differentiate b(z) with respect to z.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - m + 184, 3*g - 77 = g + 3*m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*-12 + -8 + 3. Is 5762 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8346 and 321?\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.338 - -1.138. Put -2, -100, -1, v in ascending order.\nAnswer: -100, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-240)\/36*1416\/(-10). Suppose v = 2*b + 14*b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 5. Let r be f(-6). Suppose -11 + r = 5*x. Which is the nearest to 2? (a) -1 (b) -1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1241 - 1310 - (-73 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 254.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-5) + (-136)\/(-88) and 97\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - u**3\/3 + u**2\/2 - 4*u + 2. What are the prime factors of r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-210)*3*3\/(-6)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -0.78, -51\/7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -370, -1475, -3320, -5905?\n\"Answer: -370*r**2 + 5*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5\/5 - 28996*z**4\/5 - 29028*z**3\/5 + 202996*z**2\/5 + 29024*z\/5 - 34800 = 0. Calculate z.\nAnswer: -3, -1, 1, 2, 7250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21*q - 7 - 76*q + 24*q + 27*q. Let u(x) = x + 1. What is -f(l) - 3*u(l)?\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122046 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/10*55\/22. Let c = j - -26. What is the smallest common multiple of c and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213 (base 6) in base 16?\nAnswer: -2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.2 - -82.2. Let j = -0.07 + 0.17. Which is the closest to z? (a) 4 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 + 19*c**3 + 16*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**7\/70 - l**6\/20 - l**5\/20 - 4*l**2 - 2. Let z(m) be the second derivative of y(m). Suppose z(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - w**2 + 55221193 - 55221243.\nAnswer: -2*w**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831695.5t to micrograms.\nAnswer: 831695500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.8 - -39.8. Sort 3, i, -4.\nAnswer: -4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1464 - -1464. Is 2\/10323 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:10 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -9614 in decreasing order.\nAnswer: 7, 5, -9614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**2 + t + t**2 + 6*t**3 - 110*t wrt t.\nAnswer: 36*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 1\/3, -137?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(300) + 0)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -32 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.2 (b) -2\/3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 + -243. Let c(h) = -6*h + 18. What is c(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 115. Let a be u(24). Suppose 39 = -5*v + 9. Put a, 3, 0, v in decreasing order.\nAnswer: 3, 0, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -95\/2091?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 4*j + 3. Suppose -3*v = v - 8. Let c be -1*v\/3*-3. Suppose -2*g = -c*q + 3*g - 8, 2*q = g - 8. Determine i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*w**3 - 519*w**3 + 282*w**3.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -1)*91\/21. Let a = 17 + x. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 143. Suppose -4*g + 5*s - 5 = 0, -s = 5*g + 3*s - q. Suppose g*h = -a + 158, 2*h + 3*h - a - 162 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 312 - 191. Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 - 5 + 10*m**2 - 2*m**2 - 1510*m + 1508*m - 3*m**2 - 10*m**3 + m**2 in the form t*m + n*m**3 + a*m**4 + r + x*m**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 1. Let y = -12.0000006 - w. What is y rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1780*w - 1303*w + 3346*w + 3889*w + 3 + 2492*w in the form p + d*w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/525 - z**6\/100 + z**5\/50 - z**4\/60 - 19*z**2. Factor o(l).\nAnswer: 2*l*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1 + -5?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 4*w, 3*s + 5*w = -9 + 27. Suppose -i + 0*i = -s. What is the remainder when 22 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2612 = x - 2*c, 5*x + 897 = c + 13885. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 12*m**2 - 27*m + 4. Let z be q(14). Suppose 7*g = 13*g - z. Suppose 0 = h + g*h + 8. Sort -7, 5, h in ascending order.\nAnswer: -7, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1 - 5*d + d**3 + 6*d**2 + 5 - 2*d. Let p be k(-7). What is the nearest to -1 in -2.5, -5, p?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236630761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) 0.2 (d) -3\/160 (e) 2 (f) 3 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(245) - (-3*sqrt(245) + 4))**2.\nAnswer: -15744 + 896*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -1 + sqrt(304) - sqrt(304)) + sqrt(304) + sqrt(304))**2*4.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -16 - -11) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216817967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-3)\/((-9)\/3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 48728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 391\/1265 - 3\/(-33). Solve -r*t + 0 - 2\/5*t**2 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let r = 3280\/11 - 298. Let m = 25466\/9 + -2830. Which is the closest to s? (a) -0.2 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times 16991\nAnswer: 37380.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.210875 and -1479806.5?\nAnswer: 1479806.710875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*((r*r*r\/(r**(-3\/4)*r))\/r)\/r)\/r*r))**(-6)\/(r**(1\/7)*r**13))**41 assuming r is positive.\nAnswer: r**(-4961\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-4)\/3. Let o be (-6)\/(-4 - -2 - -1). Suppose 2 = o*f + 2. Put f, 1, r in ascending order.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/11, -2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*b + 206*b - 1220*b.\nAnswer: -412*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 24 = -11*x + 4*p, 104 = -5*x + 4*p. Let q be 12\/x + (6\/(-15))\/1. Sort -5, -4, q.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 323, 711, 1171, 1703, 2307?\n\"Answer: 36*o**2 + 280*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57105987*g**5*u**2 - 2*g**2*u**2 - 297*g*u**2 - 7477*g*u + 11*u**2 wrt g?\nAnswer: 1142119740*g**3*u**2 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*p**4 - 120*p?\nAnswer: -1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m. Let j = -200 - -204. Let i = -4 - -11. Solve m = -i*r + j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77, -133, -153, -119, -13, 183, 487, 917?\n\"Answer: 3*u**3 - 77*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -325*d + 80 wrt d?\nAnswer: -325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362041 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1.1, 31, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4281.9992058 + -4282. Round g to 5 dps.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:55 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1210000?\nAnswer: 1210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -267, -539, -821, -1119, -1439?\n\"Answer: -u**3 + u**2 - 268*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**16\/m))**(4\/5) assuming m is positive.\nAnswer: m**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**2 - 4*u + 3. Give g(3).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 41. Let l = 48.7 + a. Let m = l - -1.3. Put m, 0.1, -9, -0.4 in descending order.\nAnswer: m, 0.1, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 19310*h - 154605. What is w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 98*b = -327*b - 3944 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151434 (base 7) in base 10?\nAnswer: 617621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 76 = -n. Let m(b) = -b**2 - 86*b - 443. Let y be m(-6). Is y less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + -10 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9070 + -9065. Let j be (-12)\/9*(-6)\/4. Suppose -6 = -2*p - 2*l, j = l - 1. Put p, a, -2, 1 in descending order.\nAnswer: a, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -190920 + 447?\nAnswer: -190473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 570?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, m: 8, u: 3}. What is prob of sequence sus?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697730?\nAnswer: 2, 5, 7, 17, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8312523 millilitres?\nAnswer: 0.0008312523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 12. Suppose 7 = 2*b - 4*q + 43, 0 = 4*b + 5*q + 7. What is d(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (192\/(-320))\/((-6)\/190). Calculate the greatest common factor of 1273 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -16. What is the greatest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28601 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96018 is divided by 2330?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6257 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)*i*i\/i**(-17)*((i\/(i\/(i*i\/(i**5*i)*i*i*i)))\/i)\/i**11)**(1\/27) assuming i is positive.\nAnswer: i**(38\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12075739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*g - 24, -3 = -g - 1. Let i = 20 + -19. Let u = -0.2 + -0.3. Which is the closest to i? (a) f (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(2 + 2 + 4)*(-2 - 8 + 2)*(2 - 5 - 4)*(-i - 3 + 3).\nAnswer: -448*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117641182?\nAnswer: 2, 23, 2557417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, i: 1, n: 5}. Give prob of picking 4 n.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 4*t**2 + 7*t + 1. Let v be z(3). Suppose -2*i = 2*i - 20, 2*j + v*i - 236 = 0. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 - -133. Let w(u) = 22 + 23 - 16 + 0*u - u. Is w(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 13*t**2 + 12*t + 4. Let k be h(-12). Suppose 24 = 4*z - k*r, -5*z + 5*r = -6*z. Solve 3*l - z*g - 21 + 53 = 0, 5*l = 2*g - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g*k + g*m**2 - 203*g*m - 12*g - 12961096*k**3*m**3 - 2*m**3 - m**2 - 18 wrt k?\nAnswer: -4*g - 38883288*k**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1182)\/(-2167))\/((-60)\/(-44))*65\/(-6)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15)*g)\/(g**(-1\/5)\/g*g))**(3\/23) assuming g is positive.\nAnswer: g**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22351 + -13?\nAnswer: -22404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 4*z + 3, 4 = -2*z. Let o be y*(-23 - -6) - -3. Solve -r + 6*r = -o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 2*v = 30*b - 14, b + 5*v - 19 = 0. Solve 9*y - 5 = 5*i + 6*y, -5*i - 5 = b*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4726 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/3171 and 121\/18.\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*f = 22147 - 13880 + 59125 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429061070 divided by -61207.\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396923997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3 - 2. Let l = 25\/4 + -13\/2. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*j + j. Suppose -4*a = -3*a. Suppose -4*m - r + 8 = 0, 0 = m - 4*r - a - 2. Sort -5, j, m.\nAnswer: -5, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-115)\/60 - 34657\/(-12).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285736515.\nAnswer: 5, 7, 71, 517399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 5*u)*(5*u - 5*u - 2*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/67, -5, 0.5, -4, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by (5 - 12)\/(3\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-10)\/2*144\/(-180)*1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 4*a = -21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3510 and 151\/7589868.\nAnswer: 341544060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 138. Suppose -4*t + 0 = y - 24, -4*t = 2*y - 28. Suppose -z = t*g - 6*z - 50, -2*z - 10 = 0. Which is the smallest value? (a) g (b) -1\/10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 272\/7 - 4\/7*m**3 - 68\/7*m**2 + 16\/7*m = 0. Calculate m.\nAnswer: -17, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18417054?\nAnswer: 2, 3, 107, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54337.4039 + -54340. What is i rounded to 2 decimal places?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + q - 2*q. Suppose 15 = 5*b - 2*x - 3, b + 14 = -4*x. Let j(l) = -b*l - 11 + 11. Give j(u(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 559501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 1 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 165*w + 1492*w + 0 in the form z + m*w and give m.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 4*v - 4*v)*(3*v + 3*v - 4*v) + v**2 - 3*v**2 + 4*v**2 - 5*v**2 + 412 + 9*v**2 - 450 as w*v + z*v**2 + t and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*18415.\nAnswer: -534035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -53*r + 74. List the prime factors of x(-12).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 - 32 + 3975*m + 7 + 13.\nAnswer: 3975*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:50 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1309 = -253. Is (1306\/(-8))\/(8 - q\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pshl when four letters picked without replacement from {s: 1, l: 1, r: 1, h: 3, p: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:58 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 2*y + 257. Let i(b) = -4*b**2 - 9*b - 771. Let u(g) = 2*i(g) + 7*m(g). Find the first derivative of u(h) wrt h.\nAnswer: 12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3712480640 - -5.\nAnswer: 3712480645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 6, e: 4, m: 2, o: 1, w: 2}. What is prob of sequence mqm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4 and 143\/6558?\nAnswer: 13116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 4*g - q + 5, 0 = 3*q + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 3*h)*(-35*h**4 + h**3 - 34955594 - 81*h**4 + 34955591).\nAnswer: 232*h**5 - 2*h**4 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 minus 0?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/5 - l**4\/3 + l**3\/2 - l**2\/2 + 2*l. Let i be u(2). Let z = 9 + -2. What is the highest common factor of z and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4571 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -64. Let o = w + -52. Put -1, 10, o in increasing order.\nAnswer: o, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1375624 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 1, -413, 2, 5.\nAnswer: -413, -5, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240567 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x**4 - 94091*x**3 + 4327242*x.\nAnswer: 108*x**2 - 564546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15163*q**5*r**3 + 35*q**2*r**3 - 108356*q*r + 8*r**3 wrt q.\nAnswer: -303260*q**3*r**3 + 70*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*z**6 - 32674*b*z**4 - 642*b*z**2 - 57*z wrt z.\nAnswer: 120*b*z**3 - 784176*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -20 + 4*a - 27*a + 966*a**2 - 954*a**2. What are the prime factors of y(-9)?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Factor -7\/3*h**3 + 0 - 11\/3*h - 35\/6*h**2 - 1\/6*h**4.\nAnswer: -h*(h + 1)*(h + 2)*(h + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 28 - 245*n - 13.\nAnswer: -245*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43289 < 43030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rckrrcceehccdecrr. Give prob of picking 1 c, 1 k, and 1 e.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 1. Let h be d(4). Let l = 1016 + -1017. Put -2, l, h in decreasing order.\nAnswer: h, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17211, -34932, -52653, -70374, -88095?\nAnswer: -105816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13204.21 and -0.00741.\nAnswer: -13204.21741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1) + (-24)\/(-4 - -2). Suppose 740 = -r*i + 20*i. What is the smallest common multiple of 6 and i?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107660.9 to the nearest 100.\nAnswer: 107700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5083707 (base 9) to base 16\nAnswer: 296386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a - 6?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*j = -7*s - 6, 0 = 2*s - 4*j + 12. Let y be (-6)\/(1 - s) + 4. Suppose -8 + 24 = y*g. Calculate the greatest common divisor of 56 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:55 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:47 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:04 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ba47a0 (base 12) to base 10.\nAnswer: 5938536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = 20. Suppose w = 5*u + t, 5*w - 10 - 50 = 5*u. Calculate the lowest common multiple of w and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*q**(1\/11)*q)\/q)\/q**(-10))\/(q**(2\/9)*q*q**(6\/11)) assuming q is positive.\nAnswer: q**(1121\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(2448)*3)**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*k**2*t + 2*i*t + 77*i - 116*k**2 wrt k?\nAnswer: -2*i*k*t - 232*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k**3 + k + 2. Let v be u(-1). What is the remainder when 1388\/(-6)*(-7 - 44\/v) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101111000111101010 (base 2) to base 13.\nAnswer: -b15832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by ((-9)\/3)\/(76\/(-14) + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 704558.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 - 3)) + (60 - 78 - (-14 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o\/o**5)\/o*o)\/o*o)\/o*o*o*o*o*(o\/o**(1\/5))\/o*o*o**5*(o*o**(-3\/4)\/o)\/o*o)**24 assuming o is positive.\nAnswer: o**(726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*f*h + 2*c**3 - 25*c**2*f**2 + 94*c*f**2 - c*f*h wrt c?\nAnswer: 12*c*f*h + 12*c - 50*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005054.8 rounded to the nearest 100?\nAnswer: 1005100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**3 - 7*z**2 - 45*z - 5*z**3 + 239*z + 13*z**3 + 47*z wrt z.\nAnswer: 96*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:08 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 29*b + 5. Let s be w(0). Solve 0*g + 0*g = s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(176)*-1 + sqrt(33)\/sqrt(3) + 5 - sqrt(77)\/((sqrt(252) + sqrt(7))*-4))**2 + 2.\nAnswer: -415*sqrt(11)\/14 + 100867\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 470, 148, -4 in descending order.\nAnswer: 470, 148, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 5*i)*(-4*i + 3*i + 310 - 336).\nAnswer: -i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j*j\/(j**7\/j)*j**(3\/2)*j**6 assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 1907 - 587. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 632 divided by 158\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 15 - 20)*(-2*q + 0 + 0)*(16*q + 23*q + 0*q + 2*q**2).\nAnswer: 148*q**3 + 2886*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - (0 + 7 - -40)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 4*z - 17. Suppose 0 = -331*f + 317*f - 98. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2187 - 87*w**3 - w**4 + 2187)*(3 - 3 + 2*w).\nAnswer: -2*w**5 - 174*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.61 - 4944.61. Let o = 4943.000004397 + y. What is o rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + 20*3\/5. Let r be 0\/6 + (-6)\/(-2). Solve k - c = r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((2*sqrt(14))\/sqrt(7) - (sqrt(50) + -3)) + (sqrt(2) + 0)*-4 + sqrt(288))**2.\nAnswer: 30*sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**0*o*o))**(-13\/4))**(-19)*(o\/(o\/(o**(2\/3)*o))*o**3)\/((o**1*o)\/(o*((o*o\/(((o*o*o*o*o\/((o**2\/o)\/o))\/o)\/o))\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-721\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -200012012 (base 3) to base 7\nAnswer: -53444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 - 20?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.394083 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4103*l**3 - 6 - 2 - 16124*l**3 + 11.\nAnswer: -20227*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 17*a + 58. Determine w(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/4 - 1*(-9)\/(-6). Let i = -21 - 6. Let p be ((-16)\/q)\/((-1)\/i). What is the greatest common divisor of p and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/20 + 7*s**5\/30 - s**4\/6 - 2*s**3 + 2*s**2. Let a(y) = y**2 + y - 1. Let v(k) = -4*a(k) + u(k). Factor v(m).\nAnswer: 2*(m - 1)*(m + 2)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-48)\/(-2790)) + -4 + -1 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124294690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 65911370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/14 or -2\/6379?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -14.58. Let y = g - 7. Let z = y - 7. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 divided by 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 823604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-27))\/(12\/9). Let l = 47\/180 + a. Solve 2\/5*c + 0 - l*c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/142 and -23\/142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 934874?\nAnswer: 934881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16840 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 8, m: 3, a: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3175865350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 85347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x + 0 + 1\/2*x**2 + 1\/6*x**3. Let b be c(2). Sort -1, b, -2 in ascending order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 20*f - 30. Suppose 0*y - 3 = -y + 5*k, -19 = -y - 3*k. Suppose -y*d + 54 = -4*d. Does 15 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -5, -0.4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 4*w - 3*b + 5*b, 4*b = -12. Let a = 55 - w. Let c = 85 + a. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14065*j**3 + 10332*j**3 + 12295*j**3.\nAnswer: 36692*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 2. Let a = -6 + d. Let o = a + 11. Is 0 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.581783 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 19, -25, 4, -1 in descending order.\nAnswer: 19, 4, 1, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226410073 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t - 4*t + 3*t + 0*t + 8. Let n be u(-7). Suppose -2*b - m + 6*m - n = 0, m = 2*b + 3. Solve -3*q = g + 13, b*g - 2*q = g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.65 (b) 1 (c) 2\/3 (d) 0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170596.\nAnswer: 2, 42649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 4*g - 7608. Suppose -4*l + g = 2*j, 4*l - 2289 = j - 390. Is l a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (34250\/775)\/2) + (5 - 0)\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9359631 is divided by 168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55053.76 kilograms in grams?\nAnswer: 55053760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3847.06454 - 3847. What is v rounded to 3 decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/(r*r*r\/(r\/r**(-1\/6)*r)))**(-4\/11))**(-2))**(-21\/5))**(4\/27) assuming r is positive.\nAnswer: r**(-784\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjbljjblj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -994330?\nAnswer: 994321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let y be g(-2). Let q(l) = -4*l**3 + 2*l + 2. Let c(b) = 0 + 3*b**3 - 3*b + 2*b - 2*b**3 - 1. Calculate y*c(a) - q(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 - 36*h**2 - 31*h**2.\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.054 + 10.446. Let z = 10 - w. Let r = -0.1 + 0. Which is the nearest to r? (a) -2\/11 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91537576 and 1128?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(288\/(-9))\/64?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005718 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*f - 32. Let p be ((-24)\/f)\/((-1)\/(-32)). Let r be (-4)\/6*p\/32. What is the closest to r in -2\/5, -1, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 + -238. Let y = 6169 + j. Suppose -10*b + 17*b - y = 0. What is b rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195892 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**5*x)\/x)\/x)\/((x*x**(1\/3)\/x)\/x))\/((x**2\/x*x)\/x*(x\/(x*(x\/(x*x*x**(-2)))\/x))\/x) assuming x is positive.\nAnswer: x**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 20*g - 48. Let m be w(6). Calculate the highest common divisor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201788 divided by 3?\nAnswer: 400596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43942 is divided by 346.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 5*k - 5*y - 2, 0 = 2*k + 2*y + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)*r*r**(6\/13) assuming r is positive.\nAnswer: r**(197\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 12. Let n be f(-6). Calculate the greatest common divisor of n and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Suppose -w - 3 + 6 = m. Solve 0 = -u - w*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*o - 3*k + k, 3*k + 20 = 5*o. Let b = o + -8. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p - 1122 + 3152 = 0. Solve p*f - 150 = 24 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than 0.9836?\nAnswer: -8.0164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-12))\/((-6528)\/(-2448))*(-176)\/11\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57.2+500210.0139\nAnswer: 500152.8139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3481925, -6963849, -10445771, -13927691?\n\"Answer: q**2 - 3481927*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 9:45 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -336050 (base 7) to base 13\nAnswer: -21248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10134787 - w**2 + 10134787.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 12. Let j be o(11). What is the closest to 0 in 0.4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - -8.8. Sort 1, 83, v.\nAnswer: v, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 3*r)*(-r**2 + 2*r**2 + 3*r**2) + 4*r - 4*r + 2*r**3 + (-8*r**2 + 0 + 0)*(-3*r + 0*r + 2*r).\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5468.06 to the nearest 100.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700)*1 + 0)**2 + sqrt(700) - (sqrt(700) + 3*(-1 + sqrt(700))).\nAnswer: -30*sqrt(7) + 2803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 a when four letters picked without replacement from {x: 2, a: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = 8*f - 110 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*f + 1000*f - 24367 = 67298 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6483 + 4.6683. Let o(t) = t**3 + 10*t**2 - 15*t - 8. Let i be o(-11). Is x smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476004940 by -5.\nAnswer: 95200988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/40*(10\/(-4))\/(230\/184).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12138381.6 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6.92. Let f = o - 16.92. Let i = f - -16.9974. Round i to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*r + 24 = 0, 0 = -7*x + 2*x - 5*r - 20. Let v = 142 + -140. List the prime factors of (-200)\/v*6\/x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 10. Let t(f) = 15. Let r(h) = 3*q(h) + 2*t(h). Let y(d) = 250*d**2. Calculate r(y(x)).\nAnswer: 1500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42952026 + 295178789 + 150700805 = 380*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*r - 3*r**2 - 6*r + 5*r**2)*(-3*r**2 + 51*r - 51*r).\nAnswer: -6*r**4 + 6*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**3 - 3*l**2 + 1. Let a = 1 - 3. Let o be (84\/(-8))\/7*a. Let i(h) = -4*h**3 - 2*h**2 + 1. Calculate o*i(b) - 2*n(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 9*(-2)\/(-54)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.268 - -191.268. Which is bigger: -2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Let g be (-5*k\/(-45))\/(-2). Which is the biggest value? (a) g (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + 0*s + 2*s)*(0*s**2 - s**2 + 0*s**2) - 2*s**3 - s**3 + 0*s**3)*(0 - 2 + 3 + (1 + 2 - 2)*(0 - 1 - 1))*(-12 + 8 - 10).\nAnswer: -70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, 787, 785, 783?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3456\/640*(-10)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = -3. Let t = -3 - w. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 3*z + 3. Let f be l(4). Let b(v) = 3*v**2 + 2*v + 1. Let h be b(f). What is the common denominator of 47\/18 and h\/5 - 449\/(-40)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 8337469?\nAnswer: 25012407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.196 to 2 dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m + 1. Let j(g) = -g + 1. Suppose -6 = -3*i - 0. Let t(k) = i*j(k) + q(k). What is the remainder when t(6) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/45 (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 311220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.57, -0.06.\nAnswer: -0.57, -0.06, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 78*(-12)\/(-312)*((-2)\/(-7))\/(12\/(-140))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.033524 + 3.033524. Let j = -8 + 14. Let i = -3 + j. Are m and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.55 - 38.58. Is -377 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70460 and 1796730?\nAnswer: 3593460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**3 + 23 - 2*t**2 + 3*t**2 + 3*t**3.\nAnswer: 21*t**3 + t**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 2, p: 1, i: 1}. Give prob of sequence mi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2520 = 235*g - 405 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) + sqrt(66) + (sqrt(66)*2 + sqrt(66))*4)*1)\/(sqrt(486) + -1*(sqrt(486)*2 + sqrt(486)) - 2*sqrt(486)*4).\nAnswer: -14*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1 + 12\/16). Suppose -1 = z + i. Sort z, -0.2, 4.\nAnswer: z, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.03.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3.89, -5, 1\/7, 2, -9 in increasing order.\nAnswer: -9, -5, -0.1, 1\/7, 2, 3.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -7, -1283, 1\/9, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48536 - 47534. Solve x - 1170 = -21*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1090 and 363.\nAnswer: 395670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-1)\/4*-6)\/(48\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -5?\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*m**2 + 77*m**3 - 4*m - 519*m**3 - 46*m**3 - 4*m**2 wrt m.\nAnswer: -2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = w - 4, 4*u = 2*w - 32. Suppose 0 = 4*n - 4*l - w, 3*n = 4*n - 2*l - 7. Let p be (-10)\/(-5) + n\/(-1). Let s(g) = g**2 - 6*g + 2. Give s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217977400 rounded to the nearest one million?\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0 + 46. Let t = c - 26. Let j(z) = z**2 - 19*z + 58. What is the tens digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**3 + 13*f**2 + 5*f - 4. What is h(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, 0.3, 2\/191, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 11*q - 8. Let c be z(9). Suppose -v - 5*l + c*l = -130, 2*l - 569 = -5*v. Is v 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 {q: 2, f: 6}. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:31 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 5*n**2 - n**2 - 14*n**2 + 4*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/54*(2 - (-1677)\/(-834)). Let r = 4102\/7089 - w. Solve -8\/17*h**2 - 4\/17 + 2\/17*h**3 + r*h = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1633 divide 45900364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i + 6. Let l(c) = c + 1. Let s(q) = -6*l(q) + w(q). Let a(k) = 7*k**2. Determine -a(b) - 4*s(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 - 96 = 14*y. Suppose -i + 6 = 5*q, 9*q - 3*i = 5*q + y. Solve 0 = -4*x + 3*n + 29, -6 = -q*x - 2*n - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 31. Let n = s - -23. Suppose -u + 3*u = n. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) -2 (c) 0 (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 34*l + 88. What is k(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*t - 161 = -153, 4*m - 1 = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 42*o**2 - 47*o - 245. Let i be c(-41). Let s = -90 + 11. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (4*(0 + sqrt(1300)) + sqrt(1300))**2 + (sqrt(208) - (sqrt(208) + 0 + sqrt(208)) - sqrt(91)\/sqrt(7)*4).\nAnswer: -8*sqrt(13) + 32506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 45) + (941 - 845)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 613840, 1227969, 1842098, 2456227, 3070356?\n\"Answer: 614129*m - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -57, -3, 5, 514 in descending order.\nAnswer: 514, 5, 2, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 + 534 + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310 - 308. Suppose -2*p + t + 912 = 3*p, -3*p + i*t + 550 = 0. What is the greatest common factor of p and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-16) + 51\/(-4))*-1. Let i = 191 - f. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2784735 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b*b\/(b**(-7\/4)\/b)))\/b)**18)**(-32))**(-5\/4) assuming b is positive.\nAnswer: b**(-2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-20)\/o)*o**(2\/27)*(o\/(o**10*o))\/(o\/o**(4\/13)) assuming o is positive.\nAnswer: o**(3995\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4519 * -5.943\nAnswer: 26856.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 3 = 2*w, 0 = w - t + 1. Let k = w - -4. Is (0 - k) + (-2)\/(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 2, r: 4}. Give prob of sequence rrsi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/45 - -1*1. Are 3 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2 = 4*p, p - 25*w + 16 = -28*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -86, -82?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20898.6 - 20911. Which is the second smallest value? (a) o (b) 16 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57969*o**3 - 58024*o**3 + 116093*o**3.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6096 divided by 254\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqw when three letters picked without replacement from qtw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.112 take away -1.9?\nAnswer: -63.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1059483 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggsggvggjgsssvsgss. What is prob of sequence sjv?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(70\/15)*((-80)\/(-24))\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150434\/7 + (3 - (-42)\/7)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 + -224. Factor -34 + 5*s**2 + 4*s + 38 - o*s**2 - 5*s**2.\nAnswer: -(s - 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419041 + 419045. Let v = -3.01 - -3. What is the closest to -3 in 1, v, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(171)*-1)\/(1*(sqrt(9) + sqrt(36)\/sqrt(4))) + ((1*sqrt(190)*5 + sqrt(190))\/(sqrt(160)*-6))**2.\nAnswer: -2*sqrt(19) + 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 28*r - 2 = -24*r, 2*q = -5*r - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 - 1 - 0) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15514*v - 15528*v - 98 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -6, -3, 1437, -4, 2 in decreasing order.\nAnswer: 1437, 3, 2, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11100200102 (base 3) to base 11\nAnswer: 59501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41338322 times -0.7\nAnswer: 28936825.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 12) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -810 * -7\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 127. Let z(g) = -2*g + 85. Let p(y) = 5*c(y) - 7*z(y). Let w be p(20). Solve 0 = 2*l + 4*a + w, 4*a = -5*l - 38 + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 15*o**2 + 15*o - 33. Give q(-16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.0538 (b) 1836 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + o - 20 = -8*n - 41, 5*n + 6 = 4*n - 6*o + 6 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - (96 + 3 - -8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012222179 to four dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/(1\/(-10)). Let k = -1101 + 446. Let u = k + 699. What is the greatest common divisor of u and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1335.000001337 + 1335. What is o rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 47*z**2 + 289*z + 266. What is t(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/10)\/((-63)\/84). Factor 8\/5*p - 16\/5 - x*p**3 + 4\/5*p**2.\nAnswer: -2*(p - 2)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11233673 + 0?\nAnswer: -11233673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 24*u**2 + 27*u + 55. Let m be z(-25). Find the second derivative of -4*w**5 - 15 - 18 + 31 + 5*w + 3*w - m*w**4 wrt w.\nAnswer: -80*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.1. Let q = 34653 + -34652.7. Let v be 18\/21*1\/(-3). Which is the nearest to v? (a) d (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132106 is divided by 12007?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + j + 46 = 36, -m + 3*j - 14 = 0. Solve 17*i - 10 = 22*i, -m*q = -5*i + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Let h = 14\/41 + 40\/123. Which is the nearest to h? (a) 0.1 (b) 6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.153113 meters?\nAnswer: 153.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15206563 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-42))\/(-45*(-17)\/62730)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-8)\/(-6)). What is the third smallest value in -0.1, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 116 = 4*n, 0 = -c + 5*c + 5*n - 118. Let w be (1760\/(-6))\/4 - (-9)\/c. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 93\/2. Let a(k) be the third derivative of 0 - c*k**4 + 0*k**3 + 1\/10*k**6 + 11*k**2 + 0*k + 8\/15*k**5. Factor a(b).\nAnswer: 4*b*(b + 3)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -7*l + 100. Let x = -19 - l. Solve -2*a + 1 - x = v, -a + 3*v + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*14*40\/(-35)*8\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Suppose -2*h = -5*h + 3. Let i(w) = 7*w - 2. Calculate h*i(r) + 6*t(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from oonobbnonoobonb.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-21)\/(15729\/(-1177)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8974562g to nanograms.\nAnswer: 897456200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v - 4. Let m be a(-4). Let q(t) be the third derivative of -1\/6*t**3 - t**2 + 0*t**4 + m + 0*t + 1\/60*t**5. Factor q(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 96 = 5*a - 99, 5*a + 4*o - 180 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -0.1. Let o be -2 + (-1 - 0 - -5). Let i be o\/5*24\/(-48). Which is the biggest value? (a) 0.01 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 104*h**2 - 295*h - 38. Give n(-49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a + 70 - a**2 - 48 - 59. Give u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4290, -0.1, -2\/9, 2\/9.\nAnswer: -2\/9, -0.1, 2\/9, 0.3, 4290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a + 1743?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.018 - 0.978. Let a = -1.34 + p. Round a to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - 3) + 1 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 5:12 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -1\/168*o**8 + 0*o - o**2 + 1\/4*o**6 + 23\/30*o**5 + 0*o**3 + 1\/105*o**7 + 5\/6*o**4 - 14. Suppose c(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + -7.13. Let r = v + 7. Let j = -0.6 - r. Which is the biggest value? (a) -1\/5 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -262*x**2 + 3*x + 3. Let k(s) = 3145*s**2 - 37*s - 37. Calculate 6*k(r) + 74*v(r).\nAnswer: -518*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 - 171. Suppose -2*b = 3*b - j - 38, 4*b + 5*j - 13 = i. Let n(z) = -z**2 - 4*z**2 - 2*z**2 - 8*z. Let d(y) = 8*y**2 + 9*y. Give b*n(f) + 6*d(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 5*q + 2. Let t(j) = -7*j**2 - 11*j + 4. Let c(x) = -9*s(x) + 4*t(x). Let a = -87 - -87. Suppose a = -9*p + 3*p. What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-375)*-5)\/((-4)\/10). Which is the closest to s? (a) 4 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 11*c + 11*c = 0. Solve c = 66*u - 64*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*o - 65 - 28 = 0, j - 36 = -3*o. Calculate the remainder when 104 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 36*f + 8*f)*(0*f + 0*f - f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*v + 20, -3*d - 32 = -3*v - 70 + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(128) - (sqrt(128) - sqrt(128)*-2*-4)) - (-1 + sqrt(128) + 2 + -5*(-1 + sqrt(128) - sqrt(128))).\nAnswer: -7 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -131, -265, -453, -695, -991, -1341?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 + 1552\/(-1056). Let d be 14\/4*(-3)\/(-77). Let f = d + i. What is the common denominator of f and -49\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 92*n - 6216 = 89*n, 4*n - 16 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 7*s**3 - 12*s**3 + (-2*s**2 + 4*s**2 - 3*s**2)*(-2*s - 1 + 1) + 0*s**3 - 4*s**3 + 5*s**3)*(-32 - 301 - 197).\nAnswer: 7950*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11210710 (base 8) to base 6\nAnswer: 124023052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -41. Let z = 2.5 - r. Which is the second biggest value? (a) 0.2 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -225*s**2 + 3924. Let b(d) = -2*d. Give b(r(w)).\nAnswer: 450*w**2 - 7848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 2*y)*(-y - 2*y + 0*y)*(2*y**2 - 14*y**3 + 20*y**3 - 7*y**3).\nAnswer: 6*y**5 - 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89996772 take away -306940.3?\nAnswer: 90303712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13091, 26194, 39299, 52406, 65515, 78626?\nAnswer: 91739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.28, 3, -2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 2*k**3 - k**3 + 6*k**3 - 4*k**3 in the form h*k + g*k**3 + b + a*k**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 95*g + 65. Let n(k) = 392*k - 185*k - 223*k - 9 - 2. Calculate 35*n(c) + 6*w(c).\nAnswer: 10*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from encnnnkbctkknkknck. What is prob of picking 1 e and 1 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/15)\/((-4)\/(-1220))?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.04844, -0.01, 60 in decreasing order.\nAnswer: 60, 0.04844, -0.01, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*18\/(-18)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8)*5 - -6*sqrt(648))\/((sqrt(32)\/sqrt(100))\/(sqrt(8)*-2 - sqrt(2))).\nAnswer: -1225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/510 and 149\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 923, 5 in increasing order.\nAnswer: -2, 4, 5, 923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*o = 140 + 520. Sort -33, o, -5 in descending order.\nAnswer: o, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/3, 120\/91, -2\/31, -0.5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1913536)\/(-52) - 0) + 15\/65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/128556 and 73\/9.\nAnswer: 128556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322466?\nAnswer: 2, 161233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1132 + 1132.000000719. Round k to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*w - 216*w + 1371*w - 234*w - 223*w - 227*w - 235*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.097 + 0.043. Let l = j + 0.06. What is the closest to -2\/3 in l, 1\/3, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -668.1909 and 160.21559?\nAnswer: 828.40649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 582\/3 + -3 + 1. Suppose 3*x - 7*x = -460. Suppose s - x = u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 19 + 1 = 0. Calculate the remainder when 37 is divided by 2\/t*0 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1006 - 1415. Let i = y - -419. Solve 0 = -4*j + 2*d + 14, -7*j + i*j - 2*d = 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*q - 3*p, -q - 2*p + 1 = -6. What is the remainder when (5 + -7 + (2 - q))*-1 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 - k**3 + 7397159*k + 188159426.\nAnswer: 8*k**3 - 3*k**2 + 7397159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 81 + -47 + 27 + 25 + 7 + 0?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -430, -428, -426, -424, -422, -420?\n\"Answer: 2*s - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90))\/sqrt(3))\/(sqrt(90)*6).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95611, -95610, -95609, -95608, -95607, -95606?\nAnswer: -95605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*18\/3. Factor -15*q**3 + 29*q**3 - 3*q**2 + o*q - 15*q**3.\nAnswer: -q*(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 729*p**2*s**4 + 4*p**2*s + 3*p**2 - 1870*p*s**4 - 7*p*s - 18*s - 1 wrt s.\nAnswer: 8748*p**2*s**2 - 22440*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3 + 11. What is the greatest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38914, -311586, -1051754, -2493184, -4869642?\n\"Answer: -38961*u**3 + 18*u**2 + u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 123*j + 71 - 37.\nAnswer: -123*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {y: 3, h: 7, n: 2, r: 4, f: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 26 (b) -5 (c) -0.04 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 104. Let i be (p - 7 - (-56)\/10) + -2. Let g = 17 + -16.9. Which is the closest to 2\/7? (a) -4 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*o = -91, -z + 232*o - 158 = -4*z + 587*o - 362*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 68*x + 116. What is n(36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 17*c + 3 + 8*c)*(-1245*c - 4024 + 4024) as j*c**2 + d*c + p and give j.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/7, -28.\nAnswer: -28, -3\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -26288 to the nearest one hundred.\nAnswer: -26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 4. Let p be s(-5). Let l = 3 - p. Suppose v + 2*v = 12. Calculate the least common multiple of v and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 53.75. Let c = -2.750000224 - a. Round c to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 23*v**2 + 23*v - 124. Let m be g(11). Let a(p) = p**2 + 4*p + 2. Let s be a(-3). What is the biggest value in m, -1\/2, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let z(r) = -2*r**2 + 3. Give s(z(i)).\nAnswer: 4*i**4 - 12*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54110446 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000005779 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 11. Calculate t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4126533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (940*t**2 + 58645 - 58645 + 2743*t**2)*(0 - 1 + 3)*(2 - 4 - 2)*(-2 + 1 - 1).\nAnswer: 58928*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {j: 7, w: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66193\/9 - -7327. Let j = b - -28. Let k = 0.09 - -4.91. Put 4, j, k in increasing order.\nAnswer: j, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47933, -47427, -46921, -46415, -45909?\n\"Answer: 506*m - 48439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6212055 + -1?\nAnswer: 6212054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*w = -4*t + 34, 5*t = -w + 28. Suppose -c - 1 + t = 0. Suppose 2*y + 0*p - 54 = c*p, 0 = 2*p + 4. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/147 - 2*p**6\/105 + p**5\/35 + 2*p**4\/21 - p**3\/21 - 2*p**2\/7 - 6*p. Suppose i(y) = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -219, -205, -197, -201, -223?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 30*b - 29*b + 3*a, 2*a - 470 = -5*b. Suppose -9*o + b = -212. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 3 (c) -1\/7 (d) 11 (e) -0.4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/4 in 4\/7, -1\/2, -8, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 30*r + 21. Let q(o) = 6*o + 4. Let f(d) = -21*q(d) + 4*y(d). Let n(x) be the second derivative of 0*x**2 + 0 + 1\/6*x**3 + x. Give 3*f(i) + 21*n(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293280090 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212140, 424283, 636426, 848569, 1060712, 1272855?\nAnswer: 1484998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6760 = -2*n, 5 + 5 = -2*n. List the prime factors of (-1 - m\/(-7)) + (-20)\/(-35).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6*z + 2)*(-z + 0*z + 2*z) - 3*z**2 - 3*z + 3*z)*(-6*z**2 + 0*z**2 - 2*z**2).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(-3\/11))**25*(l*l**(2\/5)\/l)**37\/((l*l\/l**(-6)*l)\/l**(-3)) assuming l is positive.\nAnswer: l**(-96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/2 + 9*w**2\/2 - 2*w - 44. Let f(p) = 1. Give 4*b(t) - 36*f(t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27190*b**4 - 64904?\nAnswer: -108760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9862.\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 s when four letters picked without replacement from sseseqsqeqee?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**2 + 331*w - 97. What is the remainder when i(-32) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c - 3. Let n be s(-6). Suppose -3 = a - 5. Suppose -4*l - 4*d - 76 = 0, -a*l = l + 4*d + n. Find the common denominator of 49\/3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:29 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8522*r**3 + 28*r + 0 - 9448*r**3 + 0 - 28*r.\nAnswer: -926*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -l - 3*z, -3*z = 2*l - 15. Solve 0*i = 4*i + l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypppkppkk. Give prob of picking 2 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 32*v**2 - 152*v - 3. Calculate the remainder when y(-6) is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - ((-12 - -24) + -4 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298958278 is divided by 7169?\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*u - 11698 - 5798 = 0 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 5. Let r = d + -71. Solve -10*b = -r*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 260 = 4*f, -207 = -2*a - 2*a + 3*f. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20)*1020\/(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -0.42, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30278 is divided by 9949?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 28*b**2 + 54*b + 19. Is 21 a factor of r(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300)*3)**2 + (5*sqrt(1300)*-4)**2.\nAnswer: 531700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**7\/y))\/y)\/(y**(-15)\/y) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/9 (b) 1\/7 (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 29*t**2 - t**3 - 15*t**2 - 2*t - 4 + 3 - 12*t**2. Let h be k(2). Which is greater: h or -19\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40879, 40878, 40875, 40870, 40863?\nAnswer: 40854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 595*f**3 - 688*f**3 + 2*f + 538*f**3 + 1 - 3.\nAnswer: 445*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -107*d + 1907. Give u(31).\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25354739693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*u - 2)*(-5*u**2 + 2*u - 2*u)*(25*u - 36*u + 25*u).\nAnswer: 1050*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 52. Let m be x + (-12 - 0) + (-52)\/10. Which is the second biggest value? (a) 1\/4 (b) 18 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. Suppose 2*v = v - j*z - 7, 0 = -v + 3*z + 9. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3 - 101*l**2 - 1014*l - 2160 = 0.\nAnswer: -90, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rce when three letters picked without replacement from crecbrrcebbbrrrrr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -2*o, 0*z - 4*z + 49 = -o. Calculate the remainder when 94 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-18)\/(-66) + (-157)\/(-11). Solve 20*f = 134 - a for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r**4 - 100*r**3 + 20*r**2 + 180*r - 72 = 0. What is r?\nAnswer: -3, -2, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 662 + -726.2. Let l = n - -64. Let a = 3 + -4. What is the third biggest value in l, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 602984489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = -6*v. Let z = 2 + -3. Sort z, 0, v.\nAnswer: v, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/19 + 492*j**3\/19 + 4718*j**2\/19 - 32808*j\/19 + 42840\/19 = 0.\nAnswer: -14, 2, 3, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*d + 29, 0 = d - j - 0*j + 13. Let p(k) = -k**3 - 12*k**2 + 27*k - 16. Let o be p(d). Does 28 divide (o - 53 - -2)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 divided by 6?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*x - 10616481031 + 10616481031.\nAnswer: 165*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 208, -37, -698, -1913?\nAnswer: -3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 23\/(483\/168) - -30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1374*c**3*j**2 + 8*c**3 + 8*c**2*j**3 + 1113*c*j**3 + 454*c*j**2 wrt c?\nAnswer: -8244*c*j**2 + 48*c + 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980a (base 11) in base 7?\nAnswer: -506126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6471.363 + -257.09179.\nAnswer: 6214.27121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3 + w - 52*w**2 + 27*w**2 - w**3 + 28*w**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21862 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 8, b: 3, o: 2, g: 4, n: 2}. What is prob of sequence onbp?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/w**(5\/7) assuming w is positive.\nAnswer: w**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 181, 192, 203, 214, 225, 236?\n\"Answer: 11*x + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/52*(-2 - 2)*161. Suppose -3*h + 6 = 0, 3*f + 2*f - 1018 = -4*h. Let l = m - f. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:35 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/354 and -43\/1002?\nAnswer: 59118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -210112221 (base 3) to base 4\nAnswer: -3311200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**(-2\/35)\/a)\/a)\/a)*a**27)**25 assuming a is positive.\nAnswer: a**(5435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5) + 5 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 52 - 547. Suppose 0 = -4*k + t - 47. Solve -2*f**4 - 5*f**2 - 3*f**2 + 2*f**2 - 8*f**3 - 2*f**k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/39 or -1?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by -221.\nAnswer: 335\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*-6 - (16 - 12). Let n(d) = d + 6. Let u be n(-4). Suppose 4*c + y*f = u*c + 133, -15 = 3*f. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 639\/2 + 50\/20. Is t at most as big as 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35256267 (base 8) to base 16\nAnswer: -755cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 10, 4, 2, -460, -7.\nAnswer: -460, -7, 2, 4, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6750 divided by -270?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -4.33, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2. Let c be 4*(-4)\/(-64) + (-1430)\/(-40). Let o(p) = -c*p**2 + 5 - 5 + 0 - 46*p**2. Give r(o(a)).\nAnswer: -13448*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 129113, 129129, 129155, 129191, 129237?\n\"Answer: 5*x**2 + x + 129107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (9 - (7 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 205*c. Let j = 161 - 160. Is 6 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1706*c + 10471 = -44121 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*b - 113*b - 141*b - 11770 = 7062 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*-3*sqrt(130))\/(1*sqrt(1000)).\nAnswer: -6*sqrt(13)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15 + 2*q**3 + q**3 + 9*q**2 - 32 - 3*q**4 + 11 - 3*q.\nAnswer: -3*(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17141324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2)\/(2\/(-230)). Let v = i - -872. Let q(j) = j - 642 + v. Let t(h) = -11*h**2. Calculate q(t(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 + -99. Calculate the least common multiple of (-1)\/(-3)*(m + 2 - 2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + -4 + 377\/13. Let m(d) = -d**3 + 10*d**2 + 10*d - 43. Give m(t).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 12. Let j be 1\/2*(-1 - x). What is the common denominator of (j - (-11)\/6)*-53 and 47\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + (-2 - -8909892)\/11. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 41. Let f be n(11). Let m = f + -44. Calculate the highest common divisor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (2 - 1)) + -2. Let w = 3 - o. Let r(g) = g**3 - 3*g**2 + 3*g + 2. What is the remainder when r(3) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9408 by 4.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69\/5? (a) -1\/84 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000000221020 (base 3) in base 13?\nAnswer: 2b3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 87 - 78, 5*k + 2 = -4*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-2 - -212))*(-1)\/3. Let y = 148 + m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + 2) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5158 = 4*w - 3582. Let a = 4050 - w. Is -14*a\/(-22) + (-2)\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3*h**4\/4 - 2*h**2 + 2*h + 579. Let g(a) = -5*a**3 - 7*a + 4. Determine -4*g(d) + 7*z(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 m when four letters picked without replacement from {q: 3, z: 7, d: 3, a: 2, m: 2, h: 1}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.3 + 4.7. Are o and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -21*u + 585. Let o = u - 3. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*h - 27 = -278*h. Put 10, -18, h in decreasing order.\nAnswer: 10, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 + 5*x + 14. Calculate the remainder when 374 is divided by g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 837 = 3*d. Suppose 3*r = -4*t + d, -189 - 128 = -4*t + r. What is the remainder when t is divided by -96*(-10)\/20*3\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, and 2 d when four letters picked without replacement from gjdll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 199124 (base 10) in base 11?\nAnswer: 126672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 71*a + 11. Let h(p) = 7*p + 234. What is the remainder when h(-10) is divided by w(-35)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n**(-7)*n)))\/((n**(-2\/43)*n*n)\/n))\/(n**13\/(n\/(n**1\/n))) assuming n is positive.\nAnswer: n**(-815\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**3 + 2*n**2 - n + 1. Let j(p) = 44*p**3 - 12*p**2 + 6*p + 391. Give j(d) + 6*v(d).\nAnswer: 2*d**3 + 397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 + s - 3. Give p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 4*l = -5360. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 3, 0, -85 in ascending order.\nAnswer: -85, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 33*v = -28*v - 10, 22 = -11*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 - 1335*w**2 - 237996*w - 701892 = 0.\nAnswer: -134, -3, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595297 is divided by 1075.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75550)\/15*3*12*(2 + -3). Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719243 is divided by 6850.\nAnswer: 6843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3746?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 331659 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215945302 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -b, -5*a = -4*a - 5*b + 8. Suppose -a*u - 51 = -159. Suppose 3*t = -0*t + u. What is the least common multiple of t and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + o**2 - 2*o. Suppose -9*z + 5*z = -5*h + 198, -3*z = 4*h - 177. Let p be ((-7)\/(h\/4))\/((-1)\/(-3)). What is q(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 43, -4\/11, -0.1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.466 less than 38.10863?\nAnswer: 46.57463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzdlcffdlvzzzl. Give prob of picking 2 d and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4244 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 7. Let g be u(5). Suppose -7*r = -g*r. Suppose -w + 6 + 11 = r. Calculate the remainder when 33 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477818016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -41*q + 13 + 10*q + 31*q + 4*q. What is r(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 3. What is the smallest common multiple of c(4) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 16. Let u = -13 - x. Which is smaller: -18 or u?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 30\/23 (b) -2 (c) 3 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/615153 and 79\/147.\nAnswer: 4306071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/106 and -39\/265?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/92 - 759\/(-12). What is the highest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9290 is divided by 106?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5201.8 + 5202. What is the closest to -2 in -0.4, p, 0.1, 87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 7 - -3) + 8 - (9 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*m*p - b*m + 20115*b*p**2 - 10*m*p**2 - 2*m + 77*p**2 + 15 wrt b.\nAnswer: -m*p - m + 20115*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356, 5, -7, 2 in increasing order.\nAnswer: -356, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-68)\/85)\/(18\/5). Which is the smallest value? (a) -2 (b) -5 (c) z (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Let g = -1138 + 1137.6. What is the biggest value in g, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-4 - (-3 + 2) - (-5 + 8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.2, -6, -0.7806?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8401702 - -13.84. What is x rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/4 + 3*l**3\/2 + 331*l**2. Determine s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7896 + -5407. What is the remainder when s is divided by 155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 3100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83090*z + 52821*z - 76229*z - 30755*z - 78516*z.\nAnswer: -215769*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 8. Let v = 10 - n. Let k(s) = s**3 - 5*s**2 + 4*s + 5. Let f be k(v). Which is the third smallest value? (a) 1 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -1.99. Let x = -0.18999955 - w. What is x rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -30 + 54 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1351, 1313, 1277, 1243, 1211?\n\"Answer: l**2 - 41*l + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -572 + 404. Let u = i - -508\/3. Suppose -1354*o - 228 = -1297*o. Sort 2, -0.1, u, o in descending order.\nAnswer: 2, u, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*t. Suppose -t*s = l - 44 + 17, l - 13 = -s. Suppose 2*k = 43 + 39. Calculate the remainder when k is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 12. Let z be u(8). Let d = z + 32. Calculate the remainder when 7 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 923*f**3 + 30*f*y**3 - 28*y**3 - 270*y - 2 wrt f?\nAnswer: 2769*f**2 + 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 186368023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 693 - 236. Let r = 1311 - s. Let p = r + -560. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73353218987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, 353, 1009, 1939, 3149?\n\"Answer: i**3 + 128*i**2 - 3*i - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 25. Let u(x) = x**3 - 5*x**2 - 4*x + 5. Let g(t) = t. Suppose -2*h - 8 = 4*m, -2*h + 6*h = -2*m - 10. Let o(w) = h*g(w) - u(w). What is o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -819 divided by -6461?\nAnswer: 9\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (240 + 534 + 664 - 425)*(19 - 19 + 2*p**5 + (-2 + 4 + 0)*(2*p**5 - p**5 - 3*p**5)).\nAnswer: -2026*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 4:41 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 18. Let y(o) = o**3 - 16*o**2 - 15*o - 36. Let z be y(17). Sort z, -1, l.\nAnswer: l, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/4 - (-73 - -1). Suppose 3*l - 148 = p, -g = 5*l - 2*p - 321. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/((-3)\/(9\/(-6))). Suppose -f + j*f - 24 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(1377) + (sqrt(1377)*-2 + 1 - sqrt(1377)) + sqrt(1377) + sqrt(1377) + -2*sqrt(1377) + 2 + 2))**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*p + 2 = -0*i, -4*i - 5*p - 18 = 0. Put -4, 4, i in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 16 + x - x - 34.\nAnswer: -2*x - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y, -4*w + 11672 = 3*y - 0*y. What are the prime factors of w?\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -66, 154.6, 5\/2, 0.3 in descending order.\nAnswer: 154.6, 4, 5\/2, 0.3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -75*h**2\/2 - 20. Let y(g) = -2*g**2 - 6*g**2 + 10*g**2. Give y(x(o)).\nAnswer: 11250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010111 (base 2) to base 16.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 3, a: 4}. Give prob of sequence twta.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11604 + 21860. Suppose -o = -10*k + 47894. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6060 + -8903425.\nAnswer: -8909485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:54 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2835, -5674, -8515, -11358, -14203, -17050?\n\"Answer: -f**2 - 2836*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*q**2 + 483 + q**3 + 44*q**2 + 47*q**2.\nAnswer: q**3 + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.369ng in kilograms?\nAnswer: 0.000000000688369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 times 124.53\nAnswer: -5728.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 83*c. Let z(l) = 125*l**2 - 4. What is z(i(n))?\nAnswer: 861125*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/((-1)\/5). Let a = -33.4 - -32.84. Let t = 0.46 + a. What is the second biggest value in t, j, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 - 4623177\/(-585) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11316 - 11292. What is the highest common divisor of 112 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 7913 + 504 - 8417.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6 - 2 + 0 - i + 3. Calculate j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13912 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.8562l in millilitres?\nAnswer: 64856.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101.8903*-1\nAnswer: 101.8903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-60))\/(-22*18\/(-990))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2586733.40326 - 2586762. Let o = f + 28.6. Round o to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 18*a - 5. Let w be v(18). Let o be ((-402)\/w)\/(-3) - 7\/35. Let j = o + 31. Solve -h - 7 = 3*k + 3, -j*k - 28 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31677, -31407, -31147, -30903, -30681, -30487?\nAnswer: -30327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31532160641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 + o**4\/3 - 7*o**3\/6 - 19*o**2. Let u be t(-8). Let w(b) = -3*b + 11. Does 9 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let w(n) = -n + 2. Let q(j) = 3*j - 23. Let x(b) = 2*q(b) + 22*w(b). Calculate x(p(s)).\nAnswer: 64*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 1, w: 1, o: 4, a: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-12)*-27*(2 + -1). Suppose 5*u + t - o = 0, u - t - 18 = -6. Let y be 0*(-5)\/2*u\/(-40). Solve -4 = -0*m + m, 5*h + 5*m = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 28 = 2*x. Suppose -x = 4*k + 221. Let g = -13 - k. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121284 divided by -3369\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.8893 to one dp.\nAnswer: -874.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*l = -8 - 7, 4*y = 4*l - 12. Solve y = d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:26 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 312*b**3 + 5*b**2 - 10. Let r(y) = 158183*y**3 + 2536*y**2 - 5072. What is -2536*d(g) + 5*r(g)?\nAnswer: -317*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.036 (b) -6 (c) 9 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 25 + 8 = 4*g, -28 = -4*g + 4*t. Suppose -g*m - m = -9. Solve m*l + 4 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 19 + -83 + 90?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1966787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1116*c - 36046. Calculate w(31).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14759156 divided by -2.\nAnswer: -7379578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 6 = 42*w. Suppose 4*n = 26 - 10, d = -w*n + 90. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.3, -1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-11) + (-386280)\/14652 + 134\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -11, -59, -3, 0.9, -461\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.152 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiqvqfiifiiqqii. What is prob of picking 1 f and 3 i?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 35. Let q(z) be the third derivative of -1\/6*z**3 + a*z + 0 - 1\/12*z**5 + 0*z**4 - z**2. Give q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Let j = -18310.95 - -18311. What is the third biggest value in b, j, 9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*d + 3 - 17, 22 = -3*j + 2*d. Let m be 1 - 3 - (-1 + j). Suppose -6*z + 47 = -m*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(52) - sqrt(468)))\/(sqrt(4) - sqrt(36)*1))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 26 + 38 = 0. Solve 0 = -m + j*q - 4, 3*m + 0*q - 2 = -q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66.1 + -66. Which is the nearest to s? (a) -2\/25 (b) -2\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let r(z) = -2*z + 4. Let y be r(-12). Let d(o) = -20*o**2 + y*o**2 + 61*o - 61*o. What is d(t(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.3 (c) -5 (d) 310 (e) 342 (f) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 + 2*u - 1. Determine c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4208, 8799, 13764, 19109, 24840, 30963?\n\"Answer: n**3 + 181*n**2 + 4041*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1399 + -648. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = 2*v + 8. Let l be (v\/(-22))\/((-2)\/24). Let t = l + 64. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 8, -4, -2, 4, -5\/107?\nAnswer: -5\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 5*o = 51*c + 40, -o - 19 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -325*t**2 + 12 + 10 + 326*t**2 + 14*t. List the prime factors of u(-15).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1995)\/(-45) - -9)*6\/5. Calculate the highest common factor of 208 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + (-147)\/(-9). Let n = 35 - d. Calculate the greatest common factor of n and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 54*r. Let d be j(2). Suppose 0 = -2*h + d - 8. Calculate the highest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s**2 + 152*s - 110. What is t(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + sqrt(12)*1)*1)\/(sqrt(4) - (sqrt(200)\/sqrt(2) - sqrt(4))))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, j: 2, i: 1, y: 1, e: 1}. What is prob of picking 1 f and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + (589\/133)\/((-25)\/(-35)).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4522 and -145\/1432386?\nAnswer: 190507338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -519, -3, -2 in descending order.\nAnswer: 1, -2, -3, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*o = 23, 23*o - 28*o + 21 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 9 = 2*i + 41*u - 37*u, 347 - 50 = 17*i - 5*u for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.486 - 0.42. Let q = m - 0.0529. Round q to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1778595 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) + sqrt(1300))**2 + sqrt(1053)*-2.\nAnswer: -18*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213103000 + 23322?\nAnswer: -213013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5825 or -5818?\nAnswer: -5818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**4 + 6*d + 2. Let k(f) = -9*f**4 + 7*f + 3. Let w(l) = -3*c(l) + 2*k(l). What is the second derivative of w(x) wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 4*k. Let d be r(-5). List the prime factors of 141\/2 + d\/(-10).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-582)*(1064\/874)\/(-14)\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from xxeexjjjejexjj?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55045 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164310)\/49293*(6\/(-50))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/17)\/(12930\/7327)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -1\/3 (b) -0.1 (c) -2 (d) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 437650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287 + 482. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 119 = 5*z, 1 + 4 = -2*f - z. Let k(i) = i**2 - 2*i + 4. Let c be (-2)\/(-10) + 28\/10. Let p(x) = -c - 7 - 3*x**2 + 5*x + 1. Give f*p(y) + 5*k(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17866960 and 0.2?\nAnswer: 17866960.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 26 + 39*c + 21 - 89 - 186. Determine q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(567) - (sqrt(567) + (sqrt(567) + sqrt(567) + 0 + sqrt(567) - sqrt(567)))) + 6*-1*sqrt(7) + (sqrt(7) - sqrt(7)*-1*6))*-5 + -4)**2.\nAnswer: 3570*sqrt(7) + 51016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135147217 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-252)*9)\/(18\/21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-7)*g**(-1)\/g)\/((g\/g**(-6))\/(g\/(g\/g**1))) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 15*a + 4. Let f be l(15). Find the third derivative of -p**3 + 14*p**f + 4*p**4 - 30*p**2 - 2*p**2 wrt p.\nAnswer: 432*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {b: 3, h: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 7. Let h be k(-4). Let c(f) = -f**3 + 9*f**2 + 16*f - 49. Let n be c(h). Let s = n - 90. Solve s*w + u = 3*u - 16, -u + 9 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcvc when four letters picked without replacement from {v: 1, c: 7, k: 11}.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3574620 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673684 is divided by 24247?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/1 + 1)\/2. What is the units digit of (-1 - r - -288) + 0\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + 69 + -26 + -100 + (1 - 138) + -2?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*i + 2*i + 13, 0 = -3*z - i - 17. Does 6 divide 2\/z + 56\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4552 + 3227. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 31. Let j = 26 + r. Suppose 6*u - 614 = j*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.4299 kilograms in nanograms?\nAnswer: 94429900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65\/(-7 + -6) - (0 + -8). Let h + 1\/2*h**y - 1 + 7\/4*h**2 = 0. Calculate h.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*j + 42. Let g(z) = z**2 + 10*z - 20. Let s be g(j). Solve -3*k - m + 0*m = 13, -3*k = -s*m + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2*j = -84. Let b be ((-16)\/(-20))\/(j\/5). Suppose -b + 2\/7*p**5 + 4\/7*p**3 + 6\/7*p**4 - 6\/7*p - 4\/7*p**2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282a9b8 (base 13) to base 15\nAnswer: -11ae56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -15) + -3 + (-1 - -1) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2172 and 35960356?\nAnswer: 107881068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23c03 (base 15) to base 14.\nAnswer: 2d806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y - 38. Let n(m) = 13*m + 25. Let p(s) = 5*b(s) + 8*n(s). Does 10 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 3*m - 16. Determine p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19544472*y**3 - y**2 + 93254830*y + 2 wrt y?\nAnswer: -117266832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -13*a**5\/30 - a**4\/3 + 7*a**3\/6 + 69*a**2 - 12. Calculate h(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 103 = 3*b + 79, 42 = 3*b - 3*r for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82167483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*(-6)\/(-12). Let b be c - 7*(-2 + 3). Does 20 divide (82 - 1) + b + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023917 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c - 5. Let o = -42 + 54. Suppose 0 = -4*a + o*a - 16. Suppose -32 = p + 3*p + 4*b, 3*b + 17 = -a*p. Give k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 89314500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4568 - 4568 - 2172*x to l + j*x and give j.\nAnswer: -2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2556.735393 rounded to 1 decimal place?\nAnswer: -2556.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 47.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19517 - 17892 - 13182 = -91*t for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138.99 + -138.79. What is the closest to -1\/2 in -0.01, h, -10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 4*t - 9*t)*(t - 4*t + 2*t)*(64*t - 164*t + 73*t).\nAnswer: -189*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1705 - -6\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497 divided by -268.\nAnswer: -497\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:18 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2193.985 - 2201. Let c = 0.015 + p. Let u = 7.1 + c. Do 4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*f - 3*y - 35, 0 = 2*f - 2*y - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1156 and 14703.\nAnswer: 16996668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127555177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/12 + b**3\/3 + 23*b**2. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595303039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2136, 17093, 57702, 136791, 267188, 461721, 733218, 1094507?\n\"Answer: 2138*a**3 - 2*a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-5))\/(2\/(-10)). Differentiate 0*h - 2*h - 4 + 0 + j*h wrt h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*q - 172, 5*t = 18*q + 14*q - 42*q + 13*q - 107 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhhvvhhvaavhh. Give prob of sequence aahn.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {z: 12, o: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*p - 3*c, 5*p - 3*c = p + 332. Suppose 3*g = 2*z - p, 0 = g - 6*g - 20. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7651 less than -7.49?\nAnswer: -6.7249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40215, 80424, 120629, 160830, 201027, 241220, 281409?\n\"Answer: -2*w**2 + 40215*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f - 14 - 46 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1337*l**2 - 455*l + 455*l)*(5*l**2 - l**2 + 2*l**2 + l**2 - 2 + 2 - l**2 + l**2 - 2*l**2 + (-3*l + 3*l + 2*l)*(2*l - 1 + 1)).\nAnswer: 12033*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 336770867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/(2\/(-3)). Let i = 38.5 + -38. Let r = 437 + -435. What is the second biggest value in i, h, -3, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + 218 + 6*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/12 and 79\/34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13*z**2 - 144*z + 5. Let c be x(-11). Solve c*i = 37 - 53 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - 32. Let z = a - -101. Is 262\/2 - (-57)\/z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -80. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/(-5)) + 580\/(-420). What is the nearest to -2 in -0.7, w, 1\/6?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 42, 13.92, 12, -1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 - 2*d - 10. What is w(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12674299 is divided by 1194.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-24))\/((-425)\/(-20)))\/(109\/654)\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3944 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/240 + 3*z**5\/20 + 227*z**2. Find o, given that y(o) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose -4 = a*n, 6*j + 2*n - 14 = 4*j. Suppose -7*h + j = -5*h. Solve -14 = 2*w - h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Suppose 3*p = y*p + 4. Let n = 7 - p. What is the remainder when 24 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110 + 10000110010100?\nAnswer: 10001010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 368 = -22*y - 124 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 946 and 273801?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13897 + 5?\nAnswer: 13902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/33 (b) 1.181 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + 2*i**3 + 7*i**4 - 5 - i + 25*i**4 + 43*i**2 - 37*i**4 to j*i**3 + r + s*i**4 + h*i + c*i**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*u = -2*u + 27, 0 = -n - 3*u - 5. What is the smallest common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/208 and -101\/36?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**2 + 19\/2 - 10*m.\nAnswer: (m - 19)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 - 3 - 5*r**2 - 3*r + 0*r**3 - r**3. What is the units digit of l(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34798 or -34797?\nAnswer: -34797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -13, 261 in decreasing order.\nAnswer: 261, 10, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 9*t**2 - 1\/18*t**4 - 11\/360*t**6 + 0*t**3 - 1\/252*t**7 + 0 + 0*t - 7\/90*t**5. Determine y, given that u(y) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/86*((-8)\/18)\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136044029 to the nearest integer?\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 5*y + 2*y)*(5 - 2 - 1) + (-5*y + 6*y - 2*y)*(1 + 0 + 1) - 2*y + y + 0*y + 3*y - 4*y + 3*y to h + s*y and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2132521 - -45?\nAnswer: 2133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1819 by -4.\nAnswer: -1819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:09 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 103. Let a be -4 + 6 + (5 - 2) - 59. Let v be b(a). Solve -5*n + 5*w = -15, n - 4 - 5 = -v*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by -39.\nAnswer: -149\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 7, 4, 3.26, 3?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333755 + -333640. Let r(c) = c. Let m(p) = 13*p - 2. Let t(f) = -m(f) + 6*r(f). Let b be t(-3). What is the greatest common divisor of w and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3828 - 0.38281637. What is h rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 2*w + 7. Let k(y) = 2*y**2 - 3*y - 8. Let m(d) = -2*k(d) - 3*q(d). Determine f so that m(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:27 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*h*w**2 - 7*a**3*h*w + a**3*h + 11949*a**2*h*w**2 + 9*a*w**2 - 169382*w wrt w?\nAnswer: 6*a**3*h + 23898*a**2*h + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9161 = -5*m, -2*n = 4*m + 2*n - 7336. Is 1834 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -5.6. Let t = 4 - n. Which is the closest to t? (a) -0.5 (b) -4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + (sqrt(9072) - sqrt(9072)*-2)**2)*-4*-6 + 2).\nAnswer: 5879022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)\/sqrt(7))\/sqrt(7) - -4*-3*sqrt(5)) + sqrt(320) + (sqrt(320) + -1)*4 + 3)**2 + -2.\nAnswer: -58*sqrt(5) + 4204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb0a4b (base 15) to base 5.\nAnswer: 10331043241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/110*(-25)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.08, 3, -2, 2\/11, 0.3, -22, -2\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n**5 - 2*n**4*z + 13*n*z - 7*n - z wrt n.\nAnswer: 320*n**3 - 24*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 4, -1, 18 in decreasing order.\nAnswer: 18, 12, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/35*5)\/(1962\/(-86982)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/29 (b) 0.5 (c) 4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56213480 and 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06817 less than -644596?\nAnswer: -644596.06817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.31\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -7*f + 449. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0348773835 to 3 decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -41. Let z = 23 - l. Suppose -z*o = 4*d - 180, 3*d - o = -0*o + 155. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1235 = -p, -g + p = 3*p - 300. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27552161 + -0.146?\nAnswer: -27552161.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 4. Let s = 4.9 + t. Sort s, 5\/4, -1\/4 in increasing order.\nAnswer: -1\/4, 5\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1715 - -968. Let j = y + 1088. Suppose h = -3*t + 95, -429*t + 41 = -428*t + 5*h. Calculate the greatest common factor of t and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.434 + 0.55. Let o = -1 + h. Let l = o + 0.147. Round l to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(78\/(-60)))\/((-40)\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**2 - 4*d - 10. What is the hundreds digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 - -0.32. Let h = 123 - 120.28. Let m = h - -0.08. Which is the third smallest value? (a) m (b) f (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 - (4 + (-30)\/(-6)). Solve 0 = -4*i, 8*z - j*z - 3*i + 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*n - 7 - 4, 2*n + 4 = 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122597 is divided by 278.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25538 is divided by 25515.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.222, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*f + 3*p - 25, 148 = 6*f - p. Solve 4*o - 2*b + f = 0, -4*o + 2*b - 28 = -2*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16818 = 2815*m + 4657*m - 319422 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36712.44l to millilitres.\nAnswer: 36712440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*16\/40)\/((-4)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 - -466. Is 5 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/281 + -26169\/1124. Let b = 2608 - 10345\/4. What is the common denominator of f and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1817 * 5\nAnswer: 0.9085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 4*n - 149, b + 4*n - 16510 = -16381 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 - 4*v. Determine t(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18825617 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 25*a + 2000 = 0. Let s = a - 97. Solve 5*v + 5 = 2*g - 5, -2*v = 4*g + s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-3)\/2)*-62. Let l = -31 - d. Let r(z) = -2*z + 29. Let q be r(13). Solve a - 3*b - 20 = l, -q*a - 1 = 2*b - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 100997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 0, 34, 3\/8, -1, 0.3?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 200*x + 798. What is t(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 4, 69, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 2*v + 20 = 31*m, -4*v - 20 = 2*m. What is the lowest common multiple of m - -7 - (-1 - 50) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*p - 1772*p**2 + 216*p + 151*p**2.\nAnswer: -1621*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1396 divided by 349\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -422 - -446. What is the smallest common multiple of 36 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038 is divided by 196?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 3*x = o*x + 3. Suppose -4*r + 20 = 2*m, -5*m - 2*r + 17 = -x*r. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7529, -7560, -7589, -7616, -7641, -7664?\n\"Answer: k**2 - 34*k - 7496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/20 + g**4\/4 - 2*g**3\/3 + 4*g**2. Let d(o) = -3*o + 8*o**2 + 14*o - 11 + 6*o. What is 4*d(h) - 11*q(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9418?\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.91 + 1.81. Let z = -132 - -135. Which is the fourth smallest value? (a) z (b) l (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 2. Let c(t) = 27*t - 15. Suppose -23*x + 329 = -16. Give x*o(r) - 2*c(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 213 = 2*f, -211 = -l + 5*f - f. Calculate the remainder when l is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 47*w**2 - 20*w - 169. Let l be d(23). Sort l, 12, 3 in decreasing order.\nAnswer: 12, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Let v be c + 1*(-1 + 2). Suppose 5*r = -0*r + v*w + 49, -w + 35 = 4*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464 + -463.7. Suppose -5*v + 2*f - 2 = 0, 4*v - 10 = v + 4*f. Which is the third biggest value? (a) x (b) v (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (231\/9)\/(11739\/45279)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -23, -26, -29, -32, -35?\n\"Answer: -3*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135312 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2047 + -2048. Suppose 0 = -o + 2. Let k(z) = z**2 - z**2 - 1 - 5*z**o. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/27)*r)\/(r**3*r))**(-3\/17) assuming r is positive.\nAnswer: r**(79\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 + 6246836*p**3 + p + 24575695?\nAnswer: -4*p**3 + 18740508*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + 3*sqrt(7) + 2))**2 - (sqrt(7) - sqrt(875)\/sqrt(5)).\nAnswer: 16*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, 0, 12, 42 in descending order.\nAnswer: 42, 12, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 306 - 3*m + 2*m)*(3 - 5 + 1 + (2 - 6 + 3)*(-1 + 4 - 1) + 1 - 2 + 2).\nAnswer: 2*m - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 3, -1, -7?\n\"Answer: -i**2 + i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = z + 4, 4*r - 2*z - 5 = 3. Find the second derivative of -2*t**4 + 2*t**4 - t**4 + 2*t + r*t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/3294 (b) -1 (c) 0 (d) 0.17 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669 by 160.\nAnswer: 669\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207.9997837 - 208. What is t rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26269 - 78791\/3. What is t in -w + 15\/2*t**3 + 64\/3*t - 23*t**2 = 0?\nAnswer: 2\/5, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = -0*c. Let n = 9 + c. Suppose 0*s - n*s = -220. Calculate the highest common factor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835387 is divided by 695.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31757813, -31757827, -31757841, -31757855?\n\"Answer: -14*w - 31757799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.116 plus 4731?\nAnswer: 4728.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*u**4 + 9\/8*u**2 + 0 + 15\/8*u**3 + 0*u - 3\/8*u**5 = 0. What is u?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 25428492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + g**2 + 2*g + 1. Let i be r(-1). Let b be (1 - 1 - 1)\/(-1). Let q be (2 - -1)\/(b\/1). Solve 3*w + i = v - q, 0 = -5*w + 3*v - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t + 185*t - 94*t + 3692*t**3.\nAnswer: 3692*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/(-2170))\/((-2)\/32)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15313946 to the nearest ten thousand.\nAnswer: -15310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*b + 10, 4*d + 4 = -3*b + b. Let s(p) = -40*p - 1. Is s(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*n - 104*n + 8*n - 113*n + 83*n.\nAnswer: -280*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {g: 5, x: 2, n: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44586 is divided by 44581.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/7, 2\/7, 61055.9?\nAnswer: 61055.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 499*j + 498*j + 506*j - j**2 - 1514*j + 2*j**4 + 4 in the form o*j + g*j**2 + t + d*j**4 + n*j**3 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3\/(-4))\/1)\/(21\/(-56)). Suppose -4*p + 5*u = p, -p + 5*u - 4 = 0. Calculate the remainder when l\/(-4)*(p - 73) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -49. What is the remainder when 53 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.87 - 295.13. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 688261627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8*(5 - 1). Let t = d - -10. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -336 - -335.9999953. What is c rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164471169.\nAnswer: 3, 54823723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246546?\nAnswer: 2, 3, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5 + 123*c**3*y - 310*c**2*y**2 - 47*c*y**2 - c*y + 10*c wrt c.\nAnswer: 60*c**3 + 738*c*y - 620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 847 + -828. Calculate the remainder when n is divided by (-3)\/2*(2 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(51)\/sqrt(3))**2*5 + 3*(-3 + sqrt(17)) + 1.\nAnswer: 3*sqrt(17) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 27 + 2659 + 2304 = 822*u, -305*u + 301*u = 3*y - 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*1 + sqrt(187) + 1*-2*sqrt(187))\/(sqrt(121)\/(-2*sqrt(704) - sqrt(11))))**2.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1545 + 1555. Solve 5*l - 10 = -2*g, -n = -5*l - 2*g + 7*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - y + 625, -2*y = 4*s - 506. Let b = s + -84. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4270, 4203, 4062, 3823, 3462, 2955, 2278, 1407?\n\"Answer: -4*k**3 - 13*k**2 + 4287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416935951 to the power of 1\/2, to the nearest integer?\nAnswer: 37642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 4*a + 2. Let k(s) = -2*s**2 - 5*s + 2. Suppose 5*n + 27 = 2. What is n*j(l) + 4*k(l)?\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 5376?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by (-9090)\/(-105) - 3\/(84\/16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(0*h**2 + 2*h**2 - 3*h**2 + (294*h + 49*h + 31*h)*(-h - 2*h - 6*h)).\nAnswer: -10101*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 1. Let u be 10\/7*(n + 3). Let z = u - 1. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04476 * 7\nAnswer: 0.31332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j**4 + 3*j**2 + 0*j**3 + 2*j**3 + j**4 to c*j + t + k*j**4 + d*j**2 + r*j**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2. Let j(q) = -6*q - 4. Give j(x(s)).\nAnswer: -18*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n + 59361 = 56*n - 5979. What is the highest common divisor of 486 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641129 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 + 485040*b - 19605316800 = 0.\nAnswer: 80840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*d + 26 = -v, -2*d = -13*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1595*d*f**4 + d*f**2 - 2*d + 262*f**2 wrt f.\nAnswer: 38280*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 5*d + 0*d)*(0*d - d - 2*d) + (3 - 3 + d)*(-6*d + 0*d + 4*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5660287mm in kilometers?\nAnswer: 0.0000005660287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*b - 19 = 8, 0 = -3*k - 2*b - 16. Does 23 divide (-4594)\/k - -3*(-20)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*j + 33 + 4917 = 0 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2153 - -2247.7. Let y = -101 + o. Let c = -6.29969 - y. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390970?\nAnswer: 2, 3, 5, 79699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-7)\/(-2))*86. Suppose 0 = -4*s - y + 3. Which is smaller: s or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*f*i**4 + f*i**3 + f*i**2 + 13*f*i + 710*f + 30478*i**4 + i**3 + 9*i**2 wrt i?\nAnswer: -600*f*i + 6*f + 731472*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1298 + -499.\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*l**3*x - a*l**3 + 3*a*l*x + 367*l**4*x - 18*l*x + 3*l wrt l.\nAnswer: 12*a*l*x - 6*a*l + 4404*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (-1 - 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 72 + 208. Let p = f + 43. What is the tens digit of 767\/p + 6\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -5.4.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -423124\nAnswer: -1\/105781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 - (13 - (-3 - -9)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -507794 less than or equal to -507789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 30. Let k(l) = 12*l + y*l - 8*l. Let x(d) = 23*d**2 - 221*d - 17. Let j(h) = -8*h**2 + 78*h + 6. Let b(r) = -17*j(r) - 6*x(r). Give b(k(t)).\nAnswer: -1352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.5 (c) 4\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 6*k - 3. Let v be s(-5). Let j = -59 - -88. Suppose -4*l + j = 5*i - l, -4*i - 5*l + 31 = 0. Solve 2*c = -i*b - 10, 5*b + v*c = 8 - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29762, -118806, -267212, -474980, -742110, -1068602?\nAnswer: -1454456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 145.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/583362 and 17\/36.\nAnswer: 1166724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1\/187, -53?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 8*i - 14. Suppose 0*d - 4*d = 3*g - 144, -108 = -3*d - 4*g. Suppose 0 = -5*m + 2*l - 52, d = -4*m - 5*l + l. Does 3 divide h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))\/d**(3\/8)*d**(-2)*d*d*d**(2\/9) assuming d is positive.\nAnswer: d**(449\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -836, -464, 46, 688, 1456, 2344?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564929*h*k*p**2 - 8*h*k*p - 970*h*k - 4*h wrt p?\nAnswer: -1129858*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 2. Suppose j = 3*w + 15 + 11, 4*j + 5*w = 70. What is the smallest common multiple of b(-7) and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13347, 19, 28 in increasing order.\nAnswer: -13347, 19, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(2\/3)\/i)\/i))**(-26)*(i*i\/(i**(2\/3)\/i))**(-16))**(-14) assuming i is positive.\nAnswer: i**1372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -3)*((-25)\/(-10) + -2). Let c = 4 + -2. Solve v = -c*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648198 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -609054262 to the nearest one hundred thousand.\nAnswer: -609100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -157, -359, -663, -1081, -1625?\n\"Answer: -2*l**3 - 33*l**2 + l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and 59\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -0.2, 2\/9, -12.3, -15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 10\/7 (c) 0 (d) -7 (e) -0.008 (f) 2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g**4*l - 298*g**4 + 29*g**2*n - 516384*l*n wrt g?\nAnswer: 20*g**3*l - 1192*g**3 + 58*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81411, 162820, 244229?\n\"Answer: 81409*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.563233455 * -0.1\nAnswer: 0.0563233455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4435 + -4430. Sort 21, 2, g in descending order.\nAnswer: 21, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -23. Let w = m - 14. Suppose 20*f - 23*f = -72. Calculate the greatest common factor of w and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*x + 187 - 598 - 342 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.3, 1483, 1\/100?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -80. Suppose v = 15 + 6. Let s be (-4)\/14 - (-279)\/v. Calculate the greatest common divisor of q and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/8)*(l\/(l*l\/(l*l\/(l\/l**(4\/5)))))\/l)\/(l**(3\/7)*l*l**(1\/3)*l))\/((l*l*l**(-2\/5))\/l**(-1))**(-10) assuming l is positive.\nAnswer: l**(19037\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 798\/72 - (14 - 167\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 8930.\nAnswer: -625.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) + 459\/63. Let r(d) be the second derivative of 0*d**6 + 2*d + 0*d**3 + 0*d**4 + 0*d**2 + 0 - 1\/30*d**5 + 1\/63*d**t. Factor r(o).\nAnswer: 2*o**3*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -523*g**6\/60 - g**5\/60 + 332*g**3\/3 + 2126*g**2. What is the third derivative of p(n) wrt n?\nAnswer: -6276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and 256\/36 - 4\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.710542 - 2.11044. Let p = -14 + 12.6. Let j = p - u. Round j to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -22) + 5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-51) - 985\/(-3). Calculate the highest common factor of g and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23555 (base 6) in base 12?\nAnswer: -1bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3719.\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.1. Let t(g) = 4*g - 82. Let w be t(21). Sort v, 3\/5, w in increasing order.\nAnswer: v, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*c**2 - c - 20 + 38*c**2 + 57 + (c + c - 3*c)*(0*c + 0*c + 2*c).\nAnswer: -4*c**2 - c + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v - 27. Let l be r(4). Suppose -5*p = -u - 13 - l, 5*p - 2*u - 44 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) - (-2 + sqrt(76)\/sqrt(4)))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 46443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from {e: 5, u: 2, i: 2, a: 1, q: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - (-12 + 3). Find the third derivative of r*b**2 - 4*b**2 + 0*b**4 - 3*b**4 + 2*b**4 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5298 (b) -3\/13 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*f - 30 = 0, 0 = 4*u - 2*u - 2*f + 32. Let n be (-8)\/(-6)*(-27)\/u. Suppose -995 = -n*b - 241. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12590057?\nAnswer: 12590057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4877 is divided by 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5834 + 134.7234. Let k = -4.14 + m. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1911b14 (base 12) to base 15\nAnswer: 6da641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 4*u**3\/3 - 7. Let o(n) = 5*n**2. What is h(o(g))?\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487173154?\nAnswer: 2, 47, 97, 211, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:21 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iieeeeiicicciccii. Give prob of picking 1 c and 1 e.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -238. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -28. Suppose 0 = -4*c - y*c + 180. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125423 is divided by 83?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 26 = 4*b. Let u(r) be the first derivative of 0*r**4 - 4 + 0*r**3 + 4*r**b + 0*r + 8\/5*r**5. Find the second derivative of u(t) wrt t.\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 8. Let k be ((-28)\/(-49))\/(6\/63) - 2. Calculate x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11211?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-22*(-5)\/220?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/(1\/(-2)). Let h be -3 + (4 - 2) + 401. Suppose -s*u + h = 5*o, o + o = -4*u + 168. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 + (-2)\/3. Let z = -0.5 - -0.8. Let j = 2.5 + -2.1. Which is the nearest to q? (a) 0 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 + 294*t**3\/5 - 37119*t**2\/5 - 190986*t\/5 - 231192\/5 = 0. Calculate t.\nAnswer: -169, -3, -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10546161 - 220?\nAnswer: -10546401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 - -1405.6.\nAnswer: 1405.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1260?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(65) - (sqrt(65)*-1 + sqrt(65)))*4)\/((sqrt(10)*2)\/sqrt(2) + sqrt(800)\/sqrt(10)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -41*j - 9. What is the units digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 55\/(-10)) + (-182)\/(-4). Let v = w + -55. Which is the smallest value? (a) v (b) -0.1 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 102. Let i be b(17). Solve i = 6*w - 5*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 6*o**3 + 5*o**3 + (21*o**2 - 4514 + 4514)*(4*o - 5*o - o).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19319711\/263109 + -1\/37587. Let k = 74 + s. Sort k, -3, 1\/4 in increasing order.\nAnswer: -3, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3314123 (base 8) in base 16?\nAnswer: -d9853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/62*-9)\/(291\/388).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-12)\/64*4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 14. Let f(w) = 3*w - 6. Let d be f(4). Let h be a(d). Solve 2*v + h = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -796309 times -4?\nAnswer: 3185236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -201. Let d = n - 61. Which is the closest to d? (a) -2\/3 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*s - 7*s**3 + 345*s.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (14 + -11 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 4*d**7\/21 - 17*d**5\/10 + 299*d**3\/6 + d - 208. What is the second derivative of m(o) wrt o?\nAnswer: 160*o**3 - 204*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-3)\/(-2)*182\/(-1014)*4\/7\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 4, 0, -8, 6\/11, 1\/259?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 34*i + 10639. Let c(u) = -56*u - 21282. Determine -3*c(z) - 5*d(z).\nAnswer: -2*z + 10651","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from kkwwwwk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 3050*p + 4193*p - 14)*(2*p**2 - 6 + 6 - p).\nAnswer: 14486*p**3 - 7243*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/6, -1, 21, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169\/3 + -57. Sort -0.5, q, 2 in descending order.\nAnswer: 2, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from {o: 1, d: 3, b: 3, z: 2, n: 3, u: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*y**3 + 21*d**2*y**2 - 2*d**2*y + 6*d**2 + 5*d*y wrt y.\nAnswer: 12*d**2*y + 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-4))\/(132\/432) and -40\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.987 rounded to 1 decimal place?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*w + 20 = 0, -5*v - 7*w = -5*w - 4. Suppose -3*j - v*j = -18815. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z = 2367 + 115 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147)\/sqrt(7) + sqrt(21) + (sqrt(21) - 3*sqrt(1029)))\/(-1*-5*2*sqrt(343)) + -4.\nAnswer: -4 - 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 57108 = -2*m, 0 = m + 2*f - 19277 - 9286. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4156616074 - 986.28.\nAnswer: 4156615087.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/5 + 14*i - 144\/5 = 0?\nAnswer: -72, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 9*q + 7 - 4*q + (0 - 2*q + 0)*(-2 - 1 + 1) in the form j + x*q and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59000 is divided by 280?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-20 - -23 - (-8 - (-1 + -3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14108 times 515?\nAnswer: -7265620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 5*f + 15, -285*f = -288*f - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 16 = n. Let d(p) = 11*p**n - 5 + 10*p**2 + 12*p**2 + p**3 - 7*p - 31*p**2. Determine d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4779\/32 less than or equal to -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 27271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 3198.\nAnswer: 22386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-81 - (-15 + (-24 - -12))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14443 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044684 * 0.12635.\nAnswer: 0.0056458234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172340146 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 + 125939833*x**2 - 204769050*x.\nAnswer: -24*x**2 + 251879666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 83960621?\nAnswer: 11\/83960621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278680.63 + -80346236.63. Let n = q + 80067522.999961. Let o = n + 33. Round o to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a6c3ae + -2?\nAnswer: -a6c3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 4*w + 2. Let r be v(4). Let g = r - 22. Let o = 2 + 1. Sort o, g, 5 in decreasing order.\nAnswer: 5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 2*h - 1587, 3*i - 3*h = 1602. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*a = 247 - 288 - 484. Sort -6, 55, a, 2, -1 in ascending order.\nAnswer: -6, a, -1, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 22 = -10*t. Suppose -4*g = -t*g + 164. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + -78 + 57 - (3 + -2 + 3).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379.1 rounded to the nearest ten?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 5. Suppose -2*k - 4*p + 8 + 12 = 0, 4*k = -2*p + 16. What is the remainder when m\/(-4 + 2 + 0) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnsnndnznzdsns. What is prob of picking 1 n and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 232\/5 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-215201 + 215201 + 221*u**2) + (-u + 0*u + 0*u)*(3*u - 5*u + 7*u).\nAnswer: 216*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.029*-1923\nAnswer: 55.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*k = -5 - 10, -20 = 5*p + 4*k. Let f be (p\/4)\/(2*-1). Is f less than -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 769763008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**9\/168 + c**5\/20 - 3*c**2 + 3. Let d(h) be the second derivative of i(h). Find the third derivative of d(r) wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 83. Let h be f(20). Suppose u + 5*w = 9, 7*u + h*w - 32 = 5*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71050 (base 9) in base 8?\nAnswer: 133155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let i = 81 + -82. What is the nearest to t in 3, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x. Let r(t) = 2*t**2 + 528*t + 92. What is r(j(n))?\nAnswer: 32*n**2 + 2112*n + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(-19 - -5457) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46797 is divided by 15598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -6. Let j(b) = 4*b + 75. Let q be j(-20). Let l = -7 + 11. Sort l, q, a in decreasing order.\nAnswer: l, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1473cad (base 14) to base 9\nAnswer: 20661181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 4. Let r be i(-5). Solve -z - 11 = -r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -21 = -4*l + 5*d, -4*l = -0*l - a*d - 19. Suppose 0 = l*n + 20, 6*r - r = -3*n + 280. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from wmrmmqqwjmrrqrmwqwo?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**4\/7 + 195261*x**3\/7 - 3392244*x**2\/7 - 9827520*x\/7 - 6240000\/7 = 0.\nAnswer: -8\/5, -1, 20, 13000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 5. Let o be (1 + 3\/6)*2. Let b(l) = -2*l + 4. Calculate o*q(r) - 4*b(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 1\/4 (c) -4.53 (d) 4 (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 115568.38 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-170)\/32*(-3 - 15096\/(-5040)) and 67\/336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*5\/(-20))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**3\/6 + 19*c**2 + 3*c. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7*m + 6*m + 77 = 0, 0 = -5*g + m + 103. Let i = 1388 - 1363. Calculate the smallest common multiple of g and i.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178058 and 34.\nAnswer: 178058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - n**3)*(4*n - 5*n + 2*n) + (-2 + 3 + 1)*(-6*n**4 + 612*n - 600*n + 10*n**4) in the form b*n**4 + k*n**3 + l*n + w + v*n**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 65 + 142 + 4*r - 77.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15512219 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 4, d: 1}. Give prob of picking 2 n and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 0)*-4 - -2*-3*sqrt(1100))**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a**2 - 73*a + 117. What is the thousands digit of w(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + (-1 - 4 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -160, -191, -242, -319, -428?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36984621*f**2*i + 7*f*i + 10242*f - 72 wrt f.\nAnswer: 73969242*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -11*q + 38, 0 = -4*q + 2*i - 64 + 74 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 7. Let f be y(-5). Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -30 in descending order.\nAnswer: 4, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 0, -5*x - 8*g = -12*g - 46. Let j(q) = q**2 - 6*q + 3. What is j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 252*s**3 + 5538*s**2 - 10332*s + 5043.\nAnswer: 3*(s - 41)**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 13*f**2 - 4*f + 2. What is the lowest common multiple of v(-13) and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4975*s - 1740 = -5062*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 806, 838, 920, 1076, 1330, 1706, 2228?\n\"Answer: 4*c**3 + c**2 + c + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u**(-6)*u**6\/u*u\/(u*u*u\/(u\/(u**(1\/4)*u*u))))**22 assuming u is positive.\nAnswer: u**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:35 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 9 = 15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*h = -12, 3*h - 9 = 4*q - 28. Let i(b) = b**3 - 5*b**2 + 4*b + 1. Let m be i(4). Let x be (0\/(-4)*m)\/2. Solve -z = -x*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r + 10. Let j(k) = 4*k + 2. Let x(h) = -5*j(h) + u(h). Let y(i) = 2*i - 1. Give y(x(z)).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54324540 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -220787.51 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, g: 4}. What is prob of sequence yyg?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let w = -116 - -2. Let d = w - -123. Solve 3*y + 5*s - d - 1 = h, 5*y - 20 = -5*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18\/67 (b) -2\/9 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j**3 - 27*j**3 - 2*j - 16*j**3 + 58*j**3 + 1394*j**2 to v*j**3 + h*j**2 + f + b*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-34.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20 - 264. Let m = 52 - n. Is (m - -8)*(-2)\/1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 23 = 3*u, -7 = 2*u - 5*u + 2*z. Solve -u*o = -f - 15, 2*o = 4*f + 2 + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 551301*v**2 - 7*v + 49309680.\nAnswer: 1102602*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6072360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:02 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67.11 + -67.1. What is the biggest value in n, -5, -0.8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 - -224. Suppose -69 = -g - c*g. Solve g = -a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 49. Let r(t) = 2*t**2 + 18*t + 3. Let n be r(-8). Let s = n - i. Solve s*g = -5*f - 32, 3*g = -11 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 2*g - 4. Let r be j(4). Let x be (-4)\/(-6) - r\/(-27). Is 0 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -6. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 4469*w**2 - 5539800*w - 1186290000.\nAnswer: -(w + 269)*(w + 2100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2081+-4\nAnswer: -2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 103. Solve 4*n = 5*x + 2*n, -4*n = -t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10101111?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52322 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43219\/66 - 1\/(-6). Let r be 0\/1 + (3 - -441). Let y = f - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*h + 75, 15 = 4*b + h - 20. Suppose 0 = -z - 5*v + b, -5*v + 29 = 5*z - v. Sort 4, z, 3 in ascending order.\nAnswer: 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*d + 12, 6*d = 5*d + 5*h + 6. Calculate the smallest common multiple of d and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57448?\nAnswer: 2, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310 + -250. Suppose v = -k + 1779997, -59*v + 3560003 = 2*k - c*v. What is k rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 39*b**2 - b + 7. Let h(l) = -11*l**2 - 16. Let y(c) = -15*c**2 - 19. Let n(r) = 7*h(r) - 6*y(r). Give 7*n(z) - 2*o(z).\nAnswer: 13*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 1.4. Let g = x + -11.4. Let t = 9 + g. What is the nearest to 1 in 2\/13, t, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h\/h**(2\/21))\/h)\/h)*h**3)**(-4\/21))**(16\/3) assuming h is positive.\nAnswer: h**(-6848\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.0486076.\nAnswer: -0.6318988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 + 2130*u + 4280 = 0.\nAnswer: -2, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14415 > -14423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178921 is divided by 4446.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 68 + 27. Let k = y - -149. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*s - 670*s - 62450 + 21875 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 169781 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -89800 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1992 in 32.5, -1\/10, 231?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224))\/sqrt(8)*-5)\/(-6*(sqrt(400)*1 - sqrt(400)) + sqrt(400)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/6720 + o**7\/504 - o**6\/90 - o**5\/15 - 5*o**4\/24 + 2*o**2. Let f(g) be the second derivative of d(g). Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/66)\/(21\/14) + 128\/18 + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 - a - 4. Let x(h) = -25*h**2 + 4*h + 17. Calculate -9*v(b) - 2*x(b).\nAnswer: -4*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*k = -22*k - 2527. Let q = 26 + -23. Suppose q*y = 5*c + 192, y - 17 = -2*c + 58. What is the remainder when y is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3\/(-5) - 152\/(-20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 7*t + 5. Let o be j(8). Let z be o\/(-9)*-5*-3. Suppose -z*q - 19725 = -3*y + 6278, y = 2*q + 10401. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*m**3 + 85*m**3 + 120*m**3)*(-10 + 7 + 8*m + 1) to r*m + k*m**3 + j*m**2 + g + i*m**4 and give i.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342 - 560. Let i = 218 + n. Solve -2*f + i*b + 4 = -2*b, -f + 2*b = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = g + 8, -4*r - 82 + 70 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2884.1 + 2734. Let x = y - -150. What is the second biggest value in 4, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*m = 4, -5*m + 3*m = -2*x - 4. Let y(o) = o**3 + 7*o**2 - 10*o - 7. Is y(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**2 - 6 + 6*l**2 - 12*l + 5*l**2 - 628*l**3 - 153*l**3. Let b be f(-11). Suppose -6*c + 2*c = -b. What is c rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 7*n + 32. Let t be u(10). Suppose t*g - y - 19 = -4, 5*g + 2*y = 42. Calculate the greatest common divisor of 304 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/30 - y**4\/8 + 2*y**3\/3 - 4*y**2. Let t = 12321 - 12324. Calculate p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 7*i**2 - 4*i - 7. Let m(s) = s**3 - s**2 - 4*s - 3. Let z be m(-2). Let j be f(z). Solve -h + 5*p = j, -h = h - p - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 186*p + 1755.\nAnswer: -(p - 9)*(p + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 6?\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - p. Let j be d(-1). Let q be j\/(-2)*3*1. Suppose 4790 = -3*k + q*c + 2*c, c + 2 = 0. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 17. Let d(b) = -3*b + 26. Give 5*d(c) + 8*u(c).\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b4ba - -a?\nAnswer: -2b4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let s = -59 + 292\/5. Let q be (-8)\/68 + -1 - -1. What is the nearest to w in s, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.06 (b) 6\/19 (c) -0.08 (d) -6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/10 + (-1)\/(-2). Let v = -0.43 - -0.33. Which is the nearest to v? (a) k (b) 0.5 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 2. Let s(u) be the second derivative of 2*u**3\/3 - 2*u**2 + 27*u + 3. Give -5*q(r) - 2*s(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*l*q**4 + 142*l*q**3 + 55*l*q - 519*l + q**4 + q**2 + 2*q wrt q.\nAnswer: 4464*l*q + 852*l + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653578 a multiple of 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 5*w**4\/4 + 4*w. Let s(b) = -3*b. Determine i(s(o)).\nAnswer: 135*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1596 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arra when four letters picked without replacement from {d: 1, r: 4, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/3)*o\/(o*o**6))\/(o\/(o**0*o)*o*o*o*o*o**1)*(o**0)**11*(o**(-2\/3))**(3\/8) assuming o is positive.\nAnswer: o**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**8\/672 + w**7\/420 - w**6\/60 - w**5\/30 + 21*w**2\/2 + 8*w + 3. Let s(k) be the first derivative of h(k). Factor s(j).\nAnswer: j**2*(j - 2)*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + 0.5. Let a = v - 3.4. What is the third smallest value in a, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126375 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 96 = 0. Let b = d + -13. Let u = 24 + -5. What is the highest common factor of u and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 48*i + 50*i. Suppose 33 = 3*x + 3*u, 8 = 3*x - u - u. Let w = x - 1. Solve 2*l - w*l - 3 = i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrv when three letters picked without replacement from vzvvrvvrrzr?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -217\/5. Let s be (-1169)\/(-539) - 3 - (-12)\/22. Which is the nearest to s? (a) d (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 230*f + 5. What is the units digit of o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89435852791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 0*c**3 + 0*c**3 + (-5 + 3 - 1)*(4 - 15 - 12)*(0*c + 0*c - 2*c**2)*(-26 - 31 + 61)*(2 - 2*c - 2).\nAnswer: 1105*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (8 + -2) - (-28)\/(-4))*(-21)\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 - 741 = h - 4*a, 2*h + 5*a = -2515. What is the units digit of (h\/20)\/(3 + (-25)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*r - 42880, -319*x = -318*x - r - 8567. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqjcccccjqcjjcccjccc. What is prob of sequence qj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 229827?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 67*q - 417. Calculate i(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, r: 5, y: 5, f: 2, i: 4, k: 1}. Give prob of sequence orky.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and 101\/22922?\nAnswer: 183376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a9a + b?\nAnswer: 5aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -21 (b) -2\/3 (c) -1\/3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:40 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (3 + 1 + -5 - -12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -595.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-35)*-1*(-25)\/(-5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3142 (base 5) in base 12?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 o when four letters picked without replacement from {r: 1, a: 1, m: 1, h: 1, s: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15871*r + 15865*r - 7*r**2 + 15863*r - 47599*r.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89\/10 + -193\/70. Find the common denominator of 11\/((-33)\/(-12)) + 33\/(-10) and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 497493?\nAnswer: 4\/497493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 233*d - 17912. Give g(77).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 184, 176, 166?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:58 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -1, 11 in decreasing order.\nAnswer: 11, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/21176 and 50\/246171.\nAnswer: 1969368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239663404 to the nearest integer?\nAnswer: 15481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122.1202455 + -122.12. What is u rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 753753224 and -15.\nAnswer: 753753209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6885\/7 - -4936559\/5019. Let g be (-109928)\/(-1023876) + (-3)\/((-27)\/(-2)). Let y = g - f. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 16. Let j be s\/(-18) - 43\/(-9). Suppose -126 = -3*c - j*v + 1, 0 = 4*c - 4*v - 148. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -20. Let a(q) = q**2 + 36 + 3*q + 0*q**2 - 8*q + b*q. What is the units digit of a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3111678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-63))\/(6\/(-63)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5512?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130185840 + 0.5.\nAnswer: -130185839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {j: 3, e: 2, y: 1, s: 2, x: 2, z: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 2, m: 8}. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -348 - 422. Let w = z + 775. Let y = -649\/7 - -93. Which is the smallest value? (a) y (b) w (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31037.00000076155 - -31037. What is g rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 674.3 and 27769615.1494.\nAnswer: 27770289.4494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2*h - 20, 2*u - h + 13 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535 - -540. Suppose m + 1 = l*y, 2*y - 5*m + 63 = 45. Put 4, y, -9, -4 in descending order.\nAnswer: 4, y, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2764.18 - -2802. Let w = s - 14.14. Let r = 24 - w. Round r to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 11:21 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*k + 4*k + 10 = 0, -4 = -x + k. Suppose -15 = -t - 2*t. Let g = t - 3. Solve -x*j - g*v - 3*v = 18, 0 = -2*j - 3*v - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1026*a**4 - 328*a**2 - 182*a**2 + 777*a**2 + 216*a**2 + 746*a**2 wrt a.\nAnswer: 24624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, -16\/261, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8145\/31946 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 136.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Let f(j) = -j + 5. Let m be f(4). Is m at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a century?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242852 and 228464.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 6*x**2 - 4*x**2)*(-254*x + 184*x + 1439*x)*(4 - 2 - 3) as a + f*x + v*x**3 + w*x**2 and give v.\nAnswer: 1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let u be 5\/10*(12 - 0). Let n be (u\/9)\/(2\/9). Let t(f) = 0*f - f + n*f. Calculate h(t(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -725*j**3 + 1246*j**2 - 8*j + 9. Let m(g) = -727*g**3 + 1247*g**2 - 10*g + 11. Let k(s) = 5*i(s) - 4*m(s). Find the third derivative of k(l) wrt l.\nAnswer: -4302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-8 + 98)\/(-9) - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - -64) + -88 + -83?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1687, 1, 2, -2\/11.\nAnswer: -1687, -2\/11, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -27.3, 1\/6, -3, 10.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3818934 and 487242.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 14, -2, -20, -40, -62, -86?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 2272*p**3 - 1290496*p**2.\nAnswer: -p**2*(p - 1136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 867, 1301, 1735?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u**2 - 3*u)*(2 + 3 - 4).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-6)\/(-24)*1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 25*n**2 - 86*n - 31. Let k be i(-21). Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2791*g**2 + 2231*g wrt g.\nAnswer: -5582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 99628*m**2 + 99445*m**2 - 198406*m**2. Let f(t) = 18*t**2. Calculate -184*f(r) + 5*w(r).\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/98*(-35)\/2. Suppose -36*h = -y*h + 12. Let x(c) = -c + 1. Let s(g) = 2*g - 3. What is h*s(w) - 6*x(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0481 - 545.9519. Let u = -601.4 - n. Round u to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - -4 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 846?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3825 + -2464. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2359, 10228, 23415, 41920?\nAnswer: 65743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 635776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 130*y**2 + 943*y + 4026.\nAnswer: (y - 122)*(y - 11)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12702 - 23852. Round c to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384) + sqrt(384) + -2*sqrt(384) + sqrt(384))*4 + sqrt(384))*-3)\/(5*(sqrt(16)\/(sqrt(128) - sqrt(8)) + sqrt(288)*2)).\nAnswer: -72*sqrt(3)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230 + -1700234?\nAnswer: -1700004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -86. Let l(t) = -t**3 - t**2 - 2. Suppose 3 - 5 = o. Let q be l(o). Which is the smallest value? (a) -0.7 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i - 26. Let t(x) be the third derivative of 7*x**5\/12 + x**3\/3 - 17*x**2. Calculate the remainder when k(9) is divided by t(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-four fifths of a gram in milligrams?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of ((-349587)\/189)\/((-4)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from urrrrrrmr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 248 = r. Let u = 105 - r. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 19334*o\/5 - 251511\/5.\nAnswer: (o - 19347)*(o + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6538\/2043 - -5\/227. Let h = f - 511\/153. What is the third biggest value in 1, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 18*q + 106, 3*k - 5*q - 6 = -2*q + 16 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4 - 2. Suppose n = -o, -5*p + 2*p = n + 2. Suppose t = -p*t. Solve 4*x - 20 + 0 = t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632152.\nAnswer: 2, 204019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-35020))\/(((4 - 5)\/(-11))\/(-1)). Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vucccvvuvv. Give prob of picking 4 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3710, 7419, 11122, 14819, 18510, 22195?\nAnswer: 25874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427139491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 + 10111010110?\nAnswer: 10100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144.69 + 144.65985. What is o rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296248317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 165*k + 64300. Determine m(-184).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o, -2*z - o + 2 = -12. Find the second derivative of z*r**3 - 65*r**3 - 3*r - r - 5 + 12 - 10*r**3 wrt r.\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 3120 + 7*o + 3120.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnnyrxkynxpy. What is prob of sequence nrnp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/406 + -779\/1218. Which is the nearest to j? (a) -4 (b) -0.2 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:47 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 360?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(-21*q**2 + 28*q**2 - 9*q**2 - 41*q**3).\nAnswer: 82*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*w - 4 = 0, -4*w = -w - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 + 5*o + 6. Let v(c) = 19*c**2 - 9*c - 13. Let p(u) = 13*h(u) + 6*v(u). What is the second derivative of p(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -9, -4, 3, 12, 23, 36?\n\"Answer: q**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19161 divided by -9?\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -411\/4 (b) 4 (c) 3 (d) 0.5 (e) 0.3 (f) 9 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 + -201?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**0\/a)*a))\/a*a*a**(1\/5))**45*(a**(-1)\/a)**(-35)\/(a**(2\/3)\/(((a*a**(3\/7)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(709\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 12167\/368)\/((9 - 8) + -3).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and 0.3.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262 or 75914\/291?\nAnswer: 75914\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4.3. Let q = 4 + 28. Let s be q\/(-24) - (-4)\/6. What is the closest to 0 in a, s, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - (-20 - -16) - -8) + -2 + -11\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2286, 1, -21.\nAnswer: -21, 1, 2286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 480*n - 60*n + 25*n - 890 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j + 1. Let s be r(4). Let -2*f + 4*f**3 + 2*f**3 - 8*f**3 - 8*f**2 + s - 5 = 0. What is f?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-8)\/(-20))*(-1926)\/(-5350)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 2, v: 3}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 14*h**2 - 3 - 6*h - 9*h**2 + 9 - 3*h**2. Let c be s(3). Solve 0 = 5*p - 9 - c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -21*p - 7. Let a(s) = 6*s**3 + s**2 + 3*s + 2. Let f be a(-1). Let t(z) = -1. Give f*t(b) + j(b).\nAnswer: -21*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:43 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/49 or 1?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 3554649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-9) + (-15 - (-1946950)\/207) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 13*r**2 - 10*r + 59. Let q be j(12). What is the hundreds digit of (11\/1)\/((-210)\/q + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 26, -11, -62?\n\"Answer: -7*v**2 - 2*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (18 + -24)) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650 + 222 - k + 216 + 210.\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:06 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 12. Solve -2*a + 2*f = -3*a - 12, -28 = 4*a + s*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fttfftwaftafoftwft. Give prob of sequence wa.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*1*302*(-55)\/(-110). Let d = -251 + j. What is the greatest common divisor of d and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-110)\/20)\/(1\/(-6)). Suppose 29*v = r*v - 348. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2. Let t(a) = 5*a. Let w(y) = -y. Let l be 45\/(-27) - 4\/(-6). Let n(o) = l*t(o) - 6*w(o). Determine n(q(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76883ml in litres?\nAnswer: 0.00376883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -574688\/7, 4 in decreasing order.\nAnswer: 4, -9, -574688\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 180, 175, 168, 159, 148, 135, 120?\n\"Answer: -t**2 - 2*t + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15344 - 1242902\/81. What is the common denominator of 83\/18 and q?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378184 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17265757.\nAnswer: 53, 325769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1354824524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37640000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -379 + 379. Let o(q) = q**2 - 4*q - 21. Let l be o(7). Is v at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17582.3514 microseconds in days?\nAnswer: 0.0000002034994375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340*n**2 + 85*n**5 - 340*n**2)*(8 - 21 - 33).\nAnswer: -3910*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 5350400 = 14*k. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 184*m**2 - 184*m**2 - 18 to the form c + n*m**3 + i*m**2 + u*m and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048666643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 628529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2742 = -5*g - i + 2780, 2*i = 4*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 14*m - 16 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -184951, -184953, -184955, -184957, -184959?\n\"Answer: -2*v - 184949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 3. Let v = 34 - i. Let k = -18 + v. Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1837858 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -78. Let x(y) = 2*y**3 - 20*y**2 - 13*y - 1. Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = b - 17, -b - 2*y + 4 + 5 = 0. Suppose -a - b = -v, 3*v + 2*a - 11 = -3*a. Put 5, 9, 4, v in ascending order.\nAnswer: v, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2696 + 635 - 5195 + 0*h + 2*h + 1221 as u*h + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16388 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 7, k: 2, w: 3, s: 1}. What is prob of picking 1 r and 1 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (125 + 7)*(-2)\/(-6). Let v = -23 + i. Find the common denominator of -51\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i. Let h(b) = -161*b. Let t(y) = 42*a(y) + 5*h(y). Let j(k) = 2*k. Determine j(t(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/171 + 2434\/855. Is k bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/((-4)\/(-24)). Factor -7*d + 7*d - 6*d**o + 2*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*a - 51. Suppose -3*u - 67 = 5*v - 95, 30 = 5*v + 5*u. Put a, v, -5\/6 in ascending order.\nAnswer: -5\/6, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3 - 686*t**2 - 2040*t = 0?\nAnswer: -340, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 3 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26174.59g in milligrams?\nAnswer: 26174590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 21734*b + 1300416. What is y(-60)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-530)\/20)\/(0 + (-2)\/4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 54237232?\nAnswer: 488135088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 24*m**2 - 33*m - 443. Give y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*b - 30 = 501*b. What is the lowest common multiple of 84\/(-9)*b\/8 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563?\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47494, 47504, 47528, 47572, 47642, 47744, 47884?\nAnswer: 48068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17. Let g = -183 - -184. Which is the closest to z? (a) 0 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*r + 16 - 56, q - 80 = -5*r. Suppose -19*t = -14*t - r. Solve -2\/15*v + 2\/15*v**t - 4\/15 - 2\/15*v**4 + 2\/5*v**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + k - 10 - 18)*(10*k**2 - 3*k**2 - 2*k**2).\nAnswer: 5*k**3 - 215*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**2 + 55*y - 10. Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -4*n, -p = -n - 2*n + 6. Suppose d + 7 = 2*w, 3*w + n - 8 = 3*d. Suppose -4*f + 14 + 38 = -3*s, -d*f + 4*s + 46 = 0. Solve -2*b - f = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/90 - (-9)\/(-20). What is the closest to 0.12 in 5, 2\/11, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 + 4*p - 9. Let y(a) = -a**2 - a + 2. Suppose -3*x + 4 = 13. Let n be x*55\/15 + 2. Calculate n*y(c) - 2*o(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*sqrt(208)*-1 + 1*sqrt(208)*1 - (sqrt(208) - (-3*sqrt(208)*2 + sqrt(208)) - (0 + sqrt(208) + -3 - sqrt(208)))) + -5)**2.\nAnswer: -1104*sqrt(13) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by 217.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 > 161.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 342468351 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-14) - 36\/(-63). Suppose -2*n = -f + 9, a = 2*f + 4*n + 1. Suppose -s + 2460 = 3*s - 4*i, f*i - 2442 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 2\/23, -0.03?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -92. Let d(x) = x**2 - 12*x + 3. Let b be d(j). Differentiate -5*f**b + 0*f**3 + 24 + f**3 + 0*f**3 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1.5, 1\/7, 2.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77735471 is divided by 3215.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 90*h**3 - 95*h**2.\nAnswer: 5*h**2*(h - 19)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/165 and 34\/964535.\nAnswer: 2893605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204747 in 2\/3, 5, -1\/7, -1, 0.24, 0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, -42, -0.99, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53100028 divided by -2.\nAnswer: -26550014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 769*h**2\/3 - 13550*h\/3 - 24032\/3.\nAnswer: -(h + 2)*(h + 16)*(h + 751)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.3 + -11.06. Let c = -7937595.2399545 + 7937593. Let m = c + l. Round m to 6 dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 968*p.\nAnswer: 4*p*(p - 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/7 + 723*y**3\/7 + 2159*y**2\/7 - 723*y\/7 - 2160\/7 = 0. What is y?\nAnswer: -720, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*p - 2200 = 86*p. What is the greatest common factor of p and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/31)*d*d))**(-1\/54)\/(d*d*d\/(d\/(((d**(-3\/2)\/d)\/d)\/d*d))*d*d*(d**(-7\/3)\/d*d*d)\/d*d) assuming d is positive.\nAnswer: d**(475\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*h**3 + 214 wrt h.\nAnswer: -198*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268 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: Suppose 2*u**5 - 28*u**4 + 42*u**3 + 352*u**2 + 280*u = 0. What is u?\nAnswer: -2, -1, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03922613921 to six dps.\nAnswer: -0.039226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(4\/(-16)*-4). Calculate the remainder when (a - 7)\/(2\/71) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.55, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/15 + 5*w**4\/9 - 14*w**3\/9 + 2*w**2 - 11*w. Factor p(q).\nAnswer: -4*(q - 3)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/18*9\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2. Let j be h(0). Suppose -2*l - 5 = -7. What is the nearest to l in -0.2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7 = t, -126*t + 6 = -128*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128520 and 1342320.\nAnswer: 12080880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -221*g - 10. Let x(j) = 1216*j + 56. Determine 28*w(f) + 5*x(f).\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204*x**6 + 2*x**2 - 237?\nAnswer: -24480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 608405109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-8))\/(2\/(-8)). Let x be 78\/i*(-15)\/6. What is the first derivative of -46 - 5*v - 4*v + x wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 20*p - 50. Give x(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 1 = -4*g. Let r be (-6 + 4)*(135 - 0). Find the common denominator of 2\/g - (-303)\/r and -49\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 - -10002 - 2. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 110.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 102 = -3*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-3))\/(35480\/5322)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - o + 0*o)*(6*o - 3*o - 5*o)*(0 - 4 + 2) - 3*o**2 + 2*o**2 - 2*o**2 in the form p*o**2 + f*o + h and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 47 + 1\/5*x**5 - 3\/4*x**4 + 9*x**3 + 0*x - x**2. What is the third derivative of j(a) wrt a?\nAnswer: 24*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66398 is divided by 6034?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6498633 to the power of 1\/2, to the nearest integer?\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3193, 3195, 3197, 3199, 3201?\n\"Answer: 2*v + 3191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2010581 (base 9) to base 13\nAnswer: 2b5cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2 + 8580*m + 31. Give h(660).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5\/4 (b) -0.2 (c) -0.062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 841*i**2 + 12*i**3 - 4 + 7 - 8 - 841*i**2.\nAnswer: 12*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Let d be y\/3*230\/4. Suppose -520 = -5*o + d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:35 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 9*w - 8. Let i be u(-7). Let l be (-35)\/15 + 2\/i. Let q(s) = -s**3 - 2*s**2 - s. What is the units digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - q = -4*q + 63, -5*r + 96 = -4*q. Calculate the remainder when 35 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392245 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1287 and -9\/4147.\nAnswer: 37323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:13 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 17, -4, 0, 4, 1.\nAnswer: -8, -4, -2, 0, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24770*d**4 + 20*d**3 - 42105364*d**2 wrt d?\nAnswer: -594480*d + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39462306*l**3 - 373*l - 5460.\nAnswer: -236773836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -9) + -15 - (-8 + 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9622.597t to kilograms.\nAnswer: 9622597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((sqrt(250) - sqrt(10))*2) + -5 + (sqrt(21)\/sqrt(3)*3)**2.\nAnswer: sqrt(7)\/8 + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -372667.9 to the nearest one thousand.\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 375224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/54 + (-62)\/(-99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -12*w - 36. What is the remainder when 193 is divided by ((-27)\/w)\/(1\/(-52))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 5*b + 13*b**2 - 2*b**2 - 4*b**2 + 2*b**2 + (135*b - 47*b - 6*b)*(-2*b + b + 2*b).\nAnswer: 91*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -70868 (base 15) to base 14\nAnswer: -93ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/4 - 105*t**2\/4 - 51*t\/2 + 52 = 0.\nAnswer: -104, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - (-4 - (-10 - -2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -269*q**2 - q. Let x(i) = -271*i**2 - 2*i + 1. Let o(s) = -6*u(s) + 5*x(s). Does 10 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/204*5*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 554173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*m - 19, -2*m + 1 = -2*p + 7. Suppose 316 = -4*n + 972. Suppose y + 2*f = 53, -4*y + n = f - p*f. Solve w = 2*o - w, 5*w + y = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 + 3*w - 20. Calculate the least common multiple of y(-5) and 22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 254951?\nAnswer: 6628726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*d - d - 179 = 0, -3*b + 5*d + 126 = 0. Let c = 34 - 30. Suppose 0 = -4*t, c*t - 3*t = u - 13. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*j**3 + 92*j**3 + 89*j**3 + 71*j**3 - 299*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 + 31066.6038.\nAnswer: 31084.6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/150687 and 55\/27?\nAnswer: 150687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:44 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44) + 2)*-4)**2 + -3 + (sqrt(33)\/(-2*sqrt(75)))**2 + ((4*sqrt(132)*2)\/sqrt(12))**2.\nAnswer: 2048*sqrt(11) + 1298911\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10758 divided by -3586\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3892, -15583, -35070, -62353, -97432?\n\"Answer: -3898*o**2 + 3*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 11}. Give prob of sequence kkrr.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -809*i**2 + 6*i + 114 wrt i?\nAnswer: -1618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*k - 20, -4*k + 6*k = j + 6. Let l(q) = -q + 3. Let t(n) = -3*n + 6. Let v = 341 - 346. Determine k*t(u) + v*l(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 683408225*y**3 + 105*y - 2091161 wrt y.\nAnswer: 4100449350*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151\/40 + 17\/5. Sort -3, -1\/5, z in descending order.\nAnswer: -1\/5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 107479409*a**2 + 83961*a. Let b(x) = -65286*x**2 - 51*x. What is 27987*b(q) + 17*s(q)?\nAnswer: -9329*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5959, 5872, 5649, 5224, 4531, 3504, 2077, 184?\nAnswer: -2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 c when four letters picked without replacement from {z: 4, d: 4, a: 1, c: 3, y: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s - 4. Let o be a(4). Let j = -15 + o. What is the remainder when j is divided by 6 - (-1 - -1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1245 - -1241. Put 45, -3, 5, x in decreasing order.\nAnswer: 45, 5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -5*f**3\/6 - 23*f. Let s(k) = -4*k. What is s(t(j))?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6299*u**2*w**4 + 19188450*u**2 - u*w**4 with respect to w.\nAnswer: -25196*u**2*w**3 - 4*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**9*z**5)**(-4))**38 assuming z is positive.\nAnswer: z**(-2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -143*p. Let l(s) = 27*s. Calculate 4*g(q) + 22*l(q).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpz when three letters picked without replacement from {c: 2, z: 2, p: 1, l: 14}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2299) - (sqrt(2299) + 1)) + 4)*-2 + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzllzlrllhlllez?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -8391342689437\nAnswer: 8391342689437.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 7 + 23 - 2*u + 1. Let f be n(6). Differentiate f + 12 - 6 - t - 16*t wrt t.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-10 - -26)) + (0 - -4 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j - 4. Let l be z(-5). Let u(a) = a + 2. Let d be u(0). Suppose 3*g - 3*i = 7 + d, 2*g + i = l. Solve -7 = g*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 34*y - 86 - 76. Let h(u) be the third derivative of -27*u**2 + 1\/2*u**y + 11\/24*u**4 + 0*u + 0. What is the derivative of h(i) wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*-3)\/(sqrt(99) - sqrt(99)*2 - sqrt(99) - sqrt(11)).\nAnswer: -3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 1\/4 (c) 1\/52 (d) 1\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-16)\/128*145)\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -10. Suppose 4*h = 2*i - 24, h + 4 - 1 = -i. Suppose 4*l - 2*q + 8 = 3*q, -4*q = -16. Sort l, g, h in increasing order.\nAnswer: h, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3 minus 0.01?\nAnswer: 10.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:19 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, 31057, -11, -2 in descending order.\nAnswer: 31057, 155, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 85 + 267. Let o = -16 - -18. Suppose o*k - 4*a - x = 0, k = -k - 4*a + 2. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3930 + -2813. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 162 + 12 = 0. Is 71 a factor of (-35)\/(-2)*(-1)\/(n\/(-486))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 51*h + 304. Calculate the smallest common multiple of v(5) and (6 - -3)*22\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipiiixixxiiipiixpl. Give prob of picking 3 i.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, -1\/2, -0.3, 2, 0.069, 1 in decreasing order.\nAnswer: 2, 1, 0.069, -0.3, -1\/2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 6848 + 7*v**2 - 5835.\nAnswer: -v**2 + 1013","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 - 296*d - 30*d**2 + 297*d + 1.\nAnswer: -61*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 30*i + 6. Let g be u(15). Suppose -14 = g*o - 20. Suppose -2*l + 1 + 1 = 0. Calculate the least common multiple of l and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -1\/14 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -7*c**3\/6 - 6*c**2 - 123*c. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 + 5*u - 1. Let p(f) = 3*f**3 - 11*f**2 - 9*f + 2. Determine 6*p(s) + 11*x(s).\nAnswer: 7*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1 - (-466 - -439)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3255 (base 16) to base 13.\nAnswer: -1a5216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*p = -k - 3, 9 = -3*p. Calculate the common denominator of (1\/(36\/(-74)))\/((-8)\/k) and 19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - (3 + -2 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -109026 and -109028 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + -0.03. Let a = -1.122 + 1.322. What is the third biggest value in u, a, -2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1667*s**4 - 13 + 2*s + 1665*s**4 + 2*s**3 + s**2 + 0*s**2 as t*s + j + f*s**4 + q*s**3 + g*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*b + 73*r - 78*r, -3*r = 6. Calculate the lowest common multiple of b and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 535*d + 106. Is 34 a factor of j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-5 + (-4 + -1 + sqrt(605))*4))**2.\nAnswer: -79200*sqrt(5) + 370980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -342*f - 6. Is 7 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 + -142.53. Let u = m - -142. Let t = -0.2 - -0.1. Which is the third smallest value? (a) u (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17 - 0.1692. Round n to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339272593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.563 minus -4?\nAnswer: 15.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 123510000 to the nearest 1000000.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(2*l + 0*l - 11*l) + l + 0*l + l as w*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223351357 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*s**2 - 15 - s**3 + 108*s**2 - 6*s + 12 to x*s**3 + r + w*s**2 + q*s and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8*t - 5*t + 175 = 0, 5*t - 167 = 4*i. Is i greater than -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-3 - -3))\/1. Suppose 5*d + q - 20 = -5, 0 = -3*d + 2*q + 22. Suppose k = -g + 3, d*k - 5*g - 9 = 12. Sort 1, b, k in increasing order.\nAnswer: b, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322211 (base 4) to base 7\nAnswer: -13634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -391, -392, -393?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312512 and 1.\nAnswer: 312512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 636949301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.15 + -19.35. What is the nearest to k in 1, -4\/5, 0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429948, 429946, 429934, 429906, 429856, 429778, 429666, 429514?\nAnswer: 429316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, 1 m, and 1 r when four letters picked without replacement from {p: 1, r: 1, g: 1, m: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 3:01 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449 + -438. Solve -2 = 3*a - 2*p - k, 15 = 3*a - 4*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 + h**3 + 6257907*h**2 - 8617*h + 8375.\nAnswer: -48*h**2 + 6*h + 12515814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -121. Put 23, f, -4 in decreasing order.\nAnswer: 23, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 53 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 3*q + 4*q)*(3331 + 94 + 599) as y*q + n and give y.\nAnswer: 12072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from sffjssfsjjsss.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 3. What is o(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -83*j**4\/12 + 708*j**2. Let l(q) = q**2. Calculate f(l(y)).\nAnswer: -166*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*w + 55. Let k be (-4)\/(-18) - (-3320)\/w. What is the tens digit of k*((-3)\/(-2) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, 0, 77, 2, 65.\nAnswer: 0, 1, 2, 15, 65, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 24*f**2 - 191*f - 250. Calculate t(-18).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 67*1083.7\nAnswer: 72607.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 705, -1775, -7437, -16281?\n\"Answer: -1591*m**2 + 2293*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143\/9? (a) 4 (b) 41\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s - 5 - 4*s - s - s**2. Let d be p(7). Suppose 2*v - d = -4. What is the second biggest value in -3, v, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 214?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 179, 169, 161, 155, 151, 149, 149?\n\"Answer: v**2 - 13*v + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = -5*g + 264 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4, 5, 7, -13, -819 in descending order.\nAnswer: 7, 5, 4, 3, -5, -13, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4)\/54 - (-34)\/9. Suppose -i = -2*d - 0. Which is the smallest value? (a) 0.5 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 116*z + 1966290*z**2 - 1966290*z**2 + z**3.\nAnswer: z**3 - 116*z - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8796, 8801, 8806?\n\"Answer: 5*d + 8791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 4*j + 2. Does 19 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8878.079952 + -8878. Let d = 0.08 - z. What is d rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -170. Calculate the remainder when 3\/(7 + -4)*86 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9\/2. What is the nearest to x in 4, 3\/5, -1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(252)\/sqrt(4) + sqrt(196)\/sqrt(7).\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:23 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528029911 to the nearest integer?\nAnswer: 22979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -3*f + 6, 4*f - 2*k = 8. What is the common denominator of 87\/4 and (-37)\/2 + 4\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -71. Which is the nearest to -0.2? (a) 0.3 (b) 6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -1*sqrt(1573).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95 and -8338.\nAnswer: -792110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45778*z**4 - 66*z**2 + 2283171*z wrt z?\nAnswer: 549336*z**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 863.6993 millilitres?\nAnswer: 0.8636993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2229579 and 462?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -2. Let q be 0\/(g\/(-2) - 4). Suppose d + q = 8. Solve -4*b = -0*b + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 16. Let w = 133 - 80. Suppose -5*u + 18 = w. Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 283*u - 3107. What is g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s + 5 + 21 - 19 as j*s + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((15\/87)\/5)\/(-2 - -3). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 66) + 1 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828339556?\nAnswer: 2, 11, 18825899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -26780 at most as big as 2\/1913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62813546 to the nearest integer?\nAnswer: 7925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 747917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 - 13*v**4\/12 - 7*v**3\/2 - 21*v**2\/2 - 14*v. Let w be i(11). Let r = 921 + w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6) - 3*28\/21. What is the closest to 2\/5 in -7\/3, h, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i - 2101 = -131*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 15. Let f(l) = -2*l + 8. Let h(p) = -11*f(p) + 6*w(p). Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/18 - 1\/3. Suppose -2*l + 3*k = i*k - 12, k - 6 = -l. Solve x = l*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = 0, -3*k - 3*p + 168 = -2*p. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*w - 3341 = 3090, -4*g = -4*w - 5140. Is g a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1372 - 1372. Let r(j) be the first derivative of 0*j**2 - 25\/3*j**3 + 5\/4*j**4 + 14 + q*j. Determine d, given that r(d) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 14, -2, -111 in decreasing order.\nAnswer: 14, 5, -2, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/40 and -79\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10065*x - 4948*x - 4*x**2 - 5117*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + sqrt(504) + (sqrt(504) - 1*sqrt(504)*2 - sqrt(504)))*3)\/((sqrt(448) + -2*sqrt(448))*5 - (5*(sqrt(448) - sqrt(448)*2) - sqrt(448)))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p - 2*p - 3*p. Let b(h) = 67*h - 17*h - 25*h - 26*h. Calculate b(n(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-253)\/(-5) + (2 - (-8)\/(-5)). What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - -9) + (36 - 90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (19 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 99*m - 266. What is p(-27)?\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 19*f**3 + 11*f**3)*(-58*f**2 + 47*f**2 - 107*f**2).\nAnswer: 1298*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 34657, 44, -1, 5, -4 in descending order.\nAnswer: 34657, 44, 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 4*l**4 - 1109993*l**5 + 1109886*l**5 + (-l**2 + 3 - 3)*(l**3 + l**3 - l**3).\nAnswer: -108*l**5 + 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*((0 + sqrt(325))*4 + 0) + -2))**2.\nAnswer: -400*sqrt(13) + 130004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3465038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 165.8, 0.4, -7, 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 68.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 31. Let y(h) = -h**2 - h + 15. Let m be y(-7). Let z be w(m). Which is the nearest to 1\/10? (a) 1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3070*d + 23187 + 18539 + 6410 = 2086 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 423 and 737824?\nAnswer: 737401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 1903, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*-1*1 + (sqrt(378) - (sqrt(378) + 6*sqrt(378)*-1 + sqrt(378)) - sqrt(378)))\/((4*(-1*sqrt(66) - sqrt(66)))\/(-2*sqrt(539))).\nAnswer: 63*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8460?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 17. Give d(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11523 - 10?\nAnswer: -11533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -60*l**2 - 51*l - 4. Let a(n) = -42*n**2 - 50*n - 2. Determine 3*a(w) - 2*c(w).\nAnswer: -6*w**2 - 48*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7675 divided by -1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 3. Let g(z) = -z - 53. Let p(w) = -g(w) - 3*i(w). Give p(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1848, -6, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(7) - (0 + sqrt(7)))*-5)**2 - (sqrt(28)\/sqrt(4) + -5))*-1.\nAnswer: -8 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-8) - 1)*36. Let z be (h\/(-56))\/(6\/7). What is the nearest to -0.1 in -0.2, 2\/7, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -877 - -876.8986. Round u to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, x: 5}. Give prob of picking 3 x and 1 o.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350635052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose 5*o = -4*s + 20, -4*s + 10 = 2*o - x*s. Suppose -4*b + o = -72. Calculate the highest common factor of 90 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(336)*-4)\/sqrt(7))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2031*m + 121*m - 10006*m.\nAnswer: -11916*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1684 + 892 = 92*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 4*b**2 + b**2)*(-b - b + 4*b) - b**3 + 0*b + 0*b to the form q*b**3 + g + z*b + w*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116754*x**4 + x**3 - 2369*x**2 - 3*x - 19 wrt x.\nAnswer: 2802096*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7907311\/420 - -18827. Find the common denominator of l and 35\/16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 6 = 0. Let j(y) = -y**3 + 2*y**2 - 6 - 6*y**c + 2*y + y + 0*y. What is j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - -1 - (-24 + 20))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57547 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-10)\/3) - 6\/15. Let h = 381.3 - 381. What is the nearest to c in 2, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:37 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 + 18 = v, 1 = v + 2*y. Which is the second biggest value? (a) -0.5 (b) 3\/8 (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 64*c**3 - 9*c**2 + 396. Let y(m) = 16*m**3 - 2*m**2 + 79. What is 3*n(l) - 14*y(l)?\nAnswer: -32*l**3 + l**2 + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 - 6150*t - 118655 = 0. Calculate t.\nAnswer: -19, 1249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 140 = 21*s. Let z(h) = h + 15. Let t be z(13). What is the greatest common factor of s and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -84*v + 97*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102.9279 + 103.51. Let x = w - 0.0821. Which is the nearest to 1? (a) x (b) 1 (c) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*2520\/2700\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/135*2\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/9 (b) -29 (c) -2 (d) 1\/16652 (e) -1\/3 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 377548869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 36 = -d, d - 18 = -2*n + 4. Let s be (-236)\/(-20) - (-7)\/35. Suppose -s - d = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 15. Suppose -46*u + 2*u - 594 = -98*u. Determine s(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.68 - -0.48. Let c = w - -8. Let r(a) = -a**3 + 11*a**2 - 21*a - 10. Let v be r(8). Do v and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402 - 42 + 101)*(-q**2 + q**2 + 3*q**2).\nAnswer: -1029*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t. Suppose 0 = r - 6 + 2. Let w be (-4 - -2)*2*-1. Solve r = -t*o + w*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Suppose -20 = -r*k + 4. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 26*a + 715 = 0. Is a bigger than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*x**4 + 47*x - 4*x**4 - 14*x**4 - 3*x wrt x.\nAnswer: -444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d - 81*d + 576 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 564?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*l - 6*g + 3*g, 0 = -l - 3*g - 4. Which is greater: -37\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7085)\/327*9\/(-15). Solve -j*g = -24 - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 81. Suppose -4 = -7*z + 5*z. Suppose z*l = -l + p. Calculate the highest common divisor of 117 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 516*o + 1556. Let n be r(-3). Put 1, n, -4, -961 in descending order.\nAnswer: 1, n, -4, -961","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-2))\/((-8)\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 33097\nAnswer: -4\/33097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-32)*(1 - 3) - -31789. Round h to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/3 + 50*p**2. Let i(r) = -7*r. Calculate t(i(v)).\nAnswer: -980*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -34100*l**3 + 34100*l**3 + l + 3*l**2 - 1336*l**4 in the form w + z*l**4 + t*l**2 + h*l**3 + r*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 125*f**6\/6 - 47*f**5\/6 - 131*f**4\/4 + 239*f**3\/18 + 3*f**2 - 2*f\/3 - 348. Solve h(q) = 0.\nAnswer: -1, -1\/6, 2\/25, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2186498833 rounded to five dps?\nAnswer: 0.21865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 - 18*a - 4. Give x(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 12*s**3 - 16*s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 67.81744um?\nAnswer: 0.00006781744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5016 + -1819. List the prime factors of q.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*k**3 + 320*k**3 + 324*k**3 - 1109*k**3.\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -3.28 (c) -1\/84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -18 + 6. Suppose 3*l = 5*v - 20, -i*l = 5*v + l - 20. Let p be (-42)\/v*44\/(-77). Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*s = -20012, 4811 = n + 3*s - 175. Calculate the greatest common divisor of 119 and n.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.1. Let w = g + -2.94. Let f = w + 2.5. Which is the nearest to 0? (a) -5 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2403*o**7\/7 - 1363*o**3\/3 - 1243. What is the third derivative of u(i) wrt i?\nAnswer: 288360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -3.03. Suppose 2 = -p + 3*r, -2*r = -p - 7*r - 10. Which is the closest to 2? (a) -1 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 + -72. Let i = -71 + z. Which is the third biggest value? (a) i (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 14*r**2 + 18*r - 19. Let w = 54 + -39. What is the units digit of p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -11227?\nAnswer: 11215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**2 + 46*y + 24. Let z be h(3). Solve -z*a + 95*a = 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 64\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4826 times -1.19?\nAnswer: 5742.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from bbbbssbbzsbzs.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 + 0 = -2*z, -k = -2*z + 5. Solve -5*j - 14 = 4*o + k, 2*o + 4*j + 10 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.3, -241, -0.1, 5.\nAnswer: -241, -0.1, 0.3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/14130 - -33911\/14130. Suppose 16\/5 - 22\/5*h**3 - x*h**4 - 2\/5*h**5 - 4\/5*h**2 + 24\/5*h = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6345452, 6345458, 6345464, 6345470, 6345476?\nAnswer: 6345482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-296)\/3330)\/(48\/40)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/20776 and 43\/5936.\nAnswer: 41552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 805*-2370\nAnswer: -1907850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l + 87*l + 25*l + 22*l + 69*l.\nAnswer: 166*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j - 2. Determine a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -110032 from 1.\nAnswer: 110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 849553?\nAnswer: 30583908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7945.21538 + -7945. Round p to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/168 and 53\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*r + 897*r - 1697*r + 201.\nAnswer: 59*r + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:23 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*l - 7. Let y be l + 1 + (-1 - 4). What is the remainder when 10 is divided by -2*(y - (-2 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 - 24*s + 4. Calculate u(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 10 - -129) + 2\/1. Let r(n) = n - 4 - 2*n + 48*n**2 - 45*n**2. Let i be r(3). Calculate the greatest common divisor of i and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 275, 7, -29?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/(-7) + (-4)\/(-14) + 4 + -9. Let a(p) = -4*p - 85. What is a(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-45716)\/(-12)*18 - (2 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -382 - -365. What is the units digit of 3 + -2 + y + 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9980 - -9975.6. Which is the nearest to 2? (a) p (b) 1\/3 (c) 1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498.7952ng to micrograms.\nAnswer: 0.4987952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121392 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68284371 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**22*t**(-23) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4 - 8*s**3\/3 - 2*s**2 + 3. Let c(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 4) to base 7.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1590\/(-583))\/(-3*(-45)\/(-594)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 2*h + 4)*(0 + 1 - 2) - 4*h - 10 + 10)*(-h - 12*h**2 + h) in the form d + n*h + o*h**2 + m*h**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174.93cm in kilometers?\nAnswer: 0.0317493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2. Let q be 2\/(12\/3 - 3). Let n be 30*(q - 15\/10). Let w(h) = -10*h - 7*h + n*h. Determine x(w(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 4*g**2 + g**2 - 7 as x*g + o + q*g**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 4. Let m(t) = t - 10. Let q be m(7). Let n be b(q). Let c be n + (-4)\/6*-3. Calculate the highest common divisor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 + 438?\nAnswer: 46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2357 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghhhhggphhhdhhhddg. What is prob of picking 1 h and 3 d?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42.66218 centimeters?\nAnswer: 426621.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/11, -4, 2\/7, 1520\/3 in ascending order.\nAnswer: -4, 0.1, 2\/11, 2\/7, 1520\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - f + f - 3474156244*f**3 + 3474156233*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6019 + -6014. Let x = -20 + 39. Calculate the lowest common multiple of g and x.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -3. Let n = 812\/415 - 6911\/3320. What is the nearest to n in 1, 0.4, z, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 2*p + 17. What is m(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -70, 0.1, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.587509 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5484, -0.067, -1\/3.\nAnswer: -1\/3, -0.067, 2.5484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12179 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10511088?\nAnswer: 2, 3, 7, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -215\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijqvqqqvvqvqvq. Give prob of picking 4 v.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 34*j - 36*j. Sort j, 4, -11 in decreasing order.\nAnswer: 4, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**4*w**(-15))\/(w**7*w\/((w\/(w\/w**1))\/w)*w))**21)**(-23) assuming w is positive.\nAnswer: w**13041","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (408\/(-170)*(-35)\/63)\/(-20 - 2)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1556, 1559, 1562, 1565?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/((-95)\/5166) + 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29312\/(-1374))\/(12\/(-36))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 4898.\nAnswer: 1\/4898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 8. Let b(d) = 90 - 9*d + 2*d - 143 - 8*d + 84. Determine 22*a(g) - 6*b(g).\nAnswer: 2*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 24*f**2 - 141*f + 26. What is z(29)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 10*u - 3. Let y(o) = -4*o**2 + 41*o - 11. Let t(z) = -9*p(z) + 2*y(z). Give t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.39 and 203\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 14106*l - 40499529.\nAnswer: 3*(l - 6713)*(l + 2011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114646 divided by -6034.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607107 is divided by 2326.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0*p**5 + 1\/30*p**6 + 0 + 7*p - 2\/3*p**3 + 0*p**2 + 0*p**4. What is the second derivative of i(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(7) + sqrt(175) + -3 + sqrt(175) + sqrt(7))*-6 + (-5*(-1*sqrt(175) + -5))**2)*-5.\nAnswer: -25000 - 5890*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/17))\/(z**(-11)\/z))\/(z**(4\/9)\/(z\/(z\/(z\/(z*z**13*z*z*z))))))**(-29) assuming z is positive.\nAnswer: z**(15805\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267.91 + -5.09. Let z = 272.9 + h. What is the fourth biggest value in z, -0.18, 3, -0.02?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 125 = -2*u - 13, u = -f + 51. Solve 9 = -39*j + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 2*f**3\/63 - 2*f**2\/3 + 14*f\/3 + 141. Factor q(s).\nAnswer: 2*(s - 7)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58908293.\nAnswer: 58908293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a factor of 58474674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l - l)*(-1 + 4 - 5) - 2*l + 2*l - 2*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/37 + 209\/592. What is the common denominator of s and (26\/4)\/(4\/(-12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (9 - -2) - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 2*k - 12. Let w be b(5). Suppose -w*p + 9 = -3*y, -4*y + 7 = 2*p - 11. Let n = 16 + y. Solve 0 = -5*g + n + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b**3 - 3*b**2 - 23*b - 22. Calculate m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*c + 241 = 0, -4*h - c - 119 = 78. Let j = h - -52. Suppose 2*y - j*z - 183 = -0*z, -2*y + z + 181 = 0. Is 30 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 7 - 10*j + 4*j - 13*j.\nAnswer: -22*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibxixxxipbnxx. Give prob of sequence nb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 5. Let o be v(5). Which is smaller: o or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f + 15. Let c = 3 + 0. Let g = c + -1. Suppose -190 + 201 = -o. Let r(y) = -3*y + 3. Calculate g*t(a) + o*r(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 2 - 5*f**3 + f**3 + 3*f**2 + 2*f**3 + 0 in the form o*f**4 + g*f**2 + s*f + d*f**3 + v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 27*z**2 + 55*z + 78. Let h be m(29). Calculate the remainder when 84*h*(-4)\/42 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*y**2 + 92 wrt y.\nAnswer: -90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5418, -0.01.\nAnswer: -0.01, 5, 5418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 72\/(-9) + 5 + 22 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 15.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59016.44ns to milliseconds.\nAnswer: 0.05901644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.239496 days in nanoseconds?\nAnswer: 193492454400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + 1672\/(-16). Let j = -104 - g. Which is greater: -6\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 3\/1)\/1. Let r(g) = 3*g**2 + 1. Let c be r(y). Suppose -x - 2*z + 3 + 3 = 0, 0 = c*x + z - 24. What is the remainder when 16 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 27 = -2*p - 33 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7876 or -1472?\nAnswer: -1472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 392809781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -14*f + 14. Calculate the greatest common divisor of 217 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 328 = 407. Let u = 133 + 55. Suppose n - u - r = 0. Round n to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394337 = -89*v + 1315798. Is 105 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.986077mg?\nAnswer: 0.000000009986077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 5*s**5 + s**5 + (31*s**5 - 6*s**5 - 40*s**5)*(4 - 3 - 2).\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13810 = 2*u - 3*k + 4684, -2*k = -5*u + 22804. Suppose -u = -5*h - 0*v + 5*v, -2 = v. Suppose 0 = 7*f - h + 336. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4))**(6\/7)*s**(21\/5)\/s**(-1) assuming s is positive.\nAnswer: s**(409\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/30 + 5\/(-6). Let c be o - (-1 - (1 + 1)). Sort -2\/13, 0.2, c in decreasing order.\nAnswer: c, 0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*910\/(-15)*14\/49*(-10)\/8?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144447 equal to 144448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138972623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1209.249 milligrams?\nAnswer: 1209249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/237346686 and 17\/648.\nAnswer: 949386744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 141313 (base 7) to base 13\nAnswer: c331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -175 - 281. Suppose 0 = 3*u - 4*u + r. Find the common denominator of 37\/10 and (-2 - 0) + u\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-2 + 2 + c**2) + (-c + 2*c - 3*c)*(4 + 4 + 0)*(0*c - c + 0*c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.5 + -12.4. Let q be ((-39)\/(-45) - 2) + 1. Which is the closest to f? (a) q (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y + 11. Let c(j) = 10 + j + 5*j + 3*j. Let n(d) = 7*c(d) - 6*r(d). What is the remainder when n(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -113010?\nAnswer: -112333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-100 - -11) - 38 - (1186\/108 + 0)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 84 + 43 - n to the form w*n + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*l**4 + 9486*l**3*u**2 - 2*l**2 - 436*l*u**2 - 134*u**2 + 143*u wrt l?\nAnswer: 552*l + 56916*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043 to 6 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60480 and 2100.\nAnswer: 302400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227 or 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/189 and 89\/18.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585 and 102351.\nAnswer: 19958445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -528, -7954, -22286, -43524, -71668?\n\"Answer: -3453*j**2 + 2933*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 6*j + 2. Let l be s(5). Let a = l + -34\/5. Is a less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(5*10\/75). Let d(v) = -3*v + 3. Let p(z) = -6*z + 5. Calculate x*p(t) + 5*d(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*i + 2\/7*i**2 + 0.\nAnswer: 2*i*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 29 - 4 = 0. Let y be (3 - 21\/6)*(-20 - -16). Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -20. Let w be (1\/(-2))\/(1*f\/32). Let i be (-404)\/(-20) - 3\/15. Solve -i = -w*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 42023?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 7*m. Suppose -3*f + l = -19, f = 3*l + 8 + 9. Let r be h(f). Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/258129 and 37\/9729?\nAnswer: 12132063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -642, 27566.\nAnswer: -642, 1, 27566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 1105\/(-39). Let h = 59 - 39. Let s = j - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:31 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 505337297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 - 5*t - 25. Let b be k(-6). Suppose -b = -3*r + 307. Suppose 4*g - r = 812. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6065, -21501, -47221, -83225, -129513?\nAnswer: -186085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 2. Let p(v) = -v + 1. Let i(h) = -l(h) + 2*p(h). Let w be i(3). Let a = w - -3. Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in 0.05, 0.09, 2\/7, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 9. Let o(y) = -y**2 - y + 2. Let q be o(l). Suppose q = 3*h - 4*d + 1, 0*h - 3*d - 8 = -4*h. Solve 4*p - 15 = -h*w - p, w - 4*p = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*w + 44 - 38, -10 = -5*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3908*t**2\/5 - 46116*t + 472\/5.\nAnswer: 4*(t - 59)*(977*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -1630, -5640, -13442, -26296, -45462, -72200?\nAnswer: -107770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4095*k = -4091*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 178\/(-6). Is (-2892)\/l + (-3)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*m - 5*n, 14 = -5*m - n - n. Let a be (-14)\/8*m + -2. Solve -a*s - 23 + 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1506412ug to kilograms.\nAnswer: 0.0000000001506412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1374, -6\/5, 3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnwnnnwnnnwwnwnwggn. What is prob of picking 3 n?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d - 1\/120*d**6 + 0 + 12\/5*d**5 - 1\/3*d**3 + 45*d**2 + 0*d**4. Find the third derivative of x(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 8 = -25*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 9 in decreasing order.\nAnswer: 9, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 182 = -11*p. Sort p, -4, 0 in descending order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) -1120 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 4*u**3 - u**3 + (-2*u**2 - 2*u**2 + u**2)*(4*u + 0*u - 2*u) + 0*u**3 + 0*u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 543, 627, 693, 717, 675, 543, 297?\n\"Answer: -4*i**3 + 15*i**2 + 67*i + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - i + 8 = i, -i + 14 = 3*v. Suppose 4*t = -4*k - v, -t + 6*t + 21 = -k. Let s be k\/(-10)*(-5)\/8. Which is the closest to -2? (a) s (b) -2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-160)\/(-855) + 0 + 0. Let p = r - -2\/57. What is the nearest to p in 0, -2\/9, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 6. Let u be i(-6). Is (-77)\/(u + -1) - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 10*u + 8206*u**2 + 4*u + 55 - 105.\nAnswer: 8206*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614082783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-21))\/(11*1\/99)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*9 + 2)*20\/(-8). What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 7767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10310 (base 4) to base 14.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26562 divided by -3?\nAnswer: -8854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 = -m, -3*m + c + 3*c = -37. Let f be 0*5\/35*(-1)\/2. Solve f = 4*d - d + m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 f when four letters picked without replacement from {h: 5, z: 11, f: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, 237, -2104, 3\/5, 0.2 in decreasing order.\nAnswer: 237, 3, 3\/5, 0.2, -0.5, -2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -718495 from -0.4.\nAnswer: 718494.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/2 - 3*i - 7\/2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*j**2 - 139\/2 - 277\/4*j.\nAnswer: (j - 278)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 3*s**2 + 6. Let g be n(5). Let q = g + 46. Let f(a) = 6*a**2 - 2*a**q + 18*a - 9*a - 3*a**2. Let r(y) = -2*y**2. Calculate f(r(j)).\nAnswer: 4*j**4 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-33)\/(t\/t**(-24)*t**(-8)) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -23. What is the second biggest value in 0.3, u, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2115835 to two decimal places.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -p + 11 + 9, -3*p + 60 = b. Suppose 3*u - p = u. Suppose -5*j - 11 = -46. What is the smallest common multiple of u and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/7 + 855*p**3\/7 - 59616*p**2\/7 - 186624*p\/7.\nAnswer: -3*p*(p - 144)**2*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15226*s**3 - 11307*s**2 + 22*s wrt s?\nAnswer: -91356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 111257531.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10572, -20644, -37422, -60900, -91072, -127932, -171474, -221692?\n\"Answer: n**3 - 3359*n**2 - 2*n - 7212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*q + 349 = -66, -4*q = -3*f + 410. What is the greatest common divisor of 182 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**3 - 180*a**2 + 14*a + 267. List the prime factors of u(33).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006720761 to 6 dps.\nAnswer: 0.000672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*p + 1 = 0, -4*y - 5 = -3*y - 3*p. Suppose -2*u = -0*u + 2. Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 771600 to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 1 p when three letters picked without replacement from pbibiiib?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g**2. Suppose 111*b = 742 - 520. Let q(f) be the third derivative of 0 + 0*f**3 + 30*f**b + 0*f**4 + 0*f + 1\/15*f**5. Calculate q(z(p)).\nAnswer: 676*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**3 - 3747*n**2 + 1179312*n - 5803260 = 0.\nAnswer: 5, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -58.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 25, -3*c = 2*l - 5*l - 57. What is the remainder when 4 is divided by c\/14 - (-10)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13504 - -13503. Put -4, b, -2\/3, 11, 0 in increasing order.\nAnswer: -4, b, -2\/3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/17 (b) 0.037 (c) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133030 - -44?\nAnswer: -132431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177363 is divided by 500.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 539 + 89. Let u = -209 + y. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1245171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22823756 by 21.\nAnswer: -22823756\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 10131*h\/2 - 9008415.\nAnswer: -(h - 7830)*(h - 2301)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 248*n**3 - 41?\nAnswer: 744*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -4, 3\/7, 91?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a)**(1\/37)*(a\/a**3)\/(a\/(a*a**(2\/7))))\/(a*(a*a\/(a*a\/(a\/(a\/(a*a\/(a**(-4)*a))))))\/a*a**(-2\/9)*(a*a**(-3))\/(a\/a**3)) assuming a is positive.\nAnswer: a**(-15178\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136467414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Which is the closest to 0.67? (a) 0.5 (b) -5 (c) 1 (d) 430 (e) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -38. Suppose -40*l = -42*l - t. Let s be 77997\/12 + (-1)\/l. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 - 68*w**4 - 595*w**3 - 982*w**2 - 456*w = 0?\nAnswer: -6, -1, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -113, -301, -679, -1313, -2269, -3613?\nAnswer: -5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3871460692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = 58. Suppose -28 = -138*x + 136*x - 5*h, 0 = x - 7*h + 24. Solve -2*g = -x*j + 10, 5*g - 3*j + o = 2*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 369 = 3*b + 1272, 2*b - 1651 = -3*t. Let i = 16 + -7. What is the greatest common factor of i and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*w - 401*w + 8162 = 307*w for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0*i**2 - 4*i + 0*i**3 - 1\/60*i**5 + 1\/90*i**6 + 0*i**4 + 0. Factor q(p).\nAnswer: p**3*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 + 8 + -5 + -5 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 56. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + 3*l**2 - l**2)*(-646 + 325 + 6*l + 324) as n*l**3 + h + a*l**2 + i*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (21 - 65) - (-6 + 11 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/80*(-1)\/(3\/(6\/8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*p + 16 = 0, 4*g - 11 = 6*p - 3*p. Let o be -1 + 14 + (-5 - -4). Let k(i) = 6 + g*i + 11*i**2 - 2*i - o*i**2. Calculate k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 1 + 3. Suppose -b - 3 = -y*b. Let a(q) = 19*q - 4. Is a(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -42, -29, -16?\n\"Answer: 13*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -50. Let v = -0.14 - 11.86. Let i = v + 11.8. Which is the fourth smallest value? (a) -5 (b) i (c) 0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4 - ((-32)\/(-12) - 1). Put 0.1, 4, s, -3 in ascending order.\nAnswer: -3, 0.1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -3. Suppose -4*v = 3*j - 7*v + 18, -v = 2*j - 3. Which is the second smallest value? (a) j (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2168*i - 674*i + 31*i + (-1 + 1 + 2*i)*(2 + 5 - 5).\nAnswer: -2807*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26799.\nAnswer: 3, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 16 - 11 = -f, -3*f = -2*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 27*g + 13. What is z(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -5*c, 4*i - 2*c - 22 = -0*i. Suppose -8 = 4*f, 5*z = 3*f + 70 - 19. Suppose -64 = -z*g + 5*g. Calculate the highest common divisor of g and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/60 - 13*r**5\/10 + 30*r**4 + 400*r**3\/3 - 123*r**2 - 17. Factor g(f).\nAnswer: 2*(f - 20)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1484 + 1880. Calculate the lowest common multiple of 33 and r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*f**2 - 2*f**3 + 4*f**3 + 68*f**2 - 3*f)*(-4*f + 3*f + 6*f).\nAnswer: 10*f**4 + 5*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 - 119 + 191)*(3 - 1 + 2)*(-1 - 2 + 10)*(-6 + 3 + 4)*(3*o - 3*o + 3*o).\nAnswer: -5628*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 3. Let s be j(7). Suppose 211*q = 212*q - 41. Suppose 5*n - 200 = 5*a, 2*n + 2*a - 39 = q. Calculate the highest common divisor of n and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1026)\/285*1030\/(-3)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 13*q**3 - q - q.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096145241.\nAnswer: 3, 1459, 250433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38 from -151058430236.\nAnswer: -151058430198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q**3 + 0*q**4 + 0 + 0*q - 19\/40*q**6 + 171*q**2 + 11\/20*q**5. What is the third derivative of n(m) wrt m?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 14*c**2 + 20*c - 38. Determine n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81074348 rounded to 2 dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Suppose 2*n = d + 9. Let g(u) = 3*u**3 - 4*u**3 - n + 2*u - 3*u. What is g(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25404163439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -81526, 3\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/47 + 9*(-11 + 69\/9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/573 and -38\/16617.\nAnswer: 16617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 29319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 467331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 31, 48, 73, 106, 147?\n\"Answer: 4*o**2 - 3*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30072 - -49713. What are the prime factors of z?\nAnswer: 3, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043773.\nAnswer: 1043773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -75\/4. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455731040 by 16.\nAnswer: 28483190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945 and 6985286.\nAnswer: 943013610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 48 = 10*o. Let y(j) = -4*j**2 + 2*j + 1. Determine y(o).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2107)\/215 - (-18 - -8) - (-672)\/15\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*d - 1 - 8, 4 = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6293*f + 131. Let q(x) = -2097*x - 49. Give -3*c(y) - 8*q(y).\nAnswer: -2103*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 4. Let f = -5 - -10. Let r be x(f). Let u = 24 - r. Solve -4*h + u = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5009004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 0) + 0\/1)*52\/(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21162752 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 28*y**6\/15 + y**5\/30 + 61*y**3\/6 - 2*y**2 + 208. What is the first derivative of u(n) wrt n?\nAnswer: 672*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1363 - 1382) + (-29 - (-2 - -1)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-213))\/4*323\/(632434\/(-356)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 7.3, -4, -1\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -398\nAnswer: -5\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(2\/(-4)). Let i = -24.96 + 25. Let a = -3.04 + i. What is the nearest to t in -2, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 + 14 + 6*t**2 + 18*t - 11. Let q be c(18). Suppose 0 = -q*k + 4*h - 5*h + 838, 4*h = 4*k - 1128. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 4565\/(-77) - ((-108)\/(-14) + -5 + -3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - -475. Let b be ((-6)\/9)\/(6\/s*-4). What is the second smallest value in -2, b, 31?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -94, -145, -200, -259, -322?\n\"Answer: -2*s**2 - 41*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7909901\/231 - 34242. Is f at least -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030492 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/2 + 495027*b\/2 - 495021 = 0.\nAnswer: 2, 165007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96689111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*c**4 + 300081*c**3 - 130179757*c**2 wrt c.\nAnswer: 3096*c + 1800486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 684, 5357, 18008, 42627, 83204, 143729, 228192, 340583?\n\"Answer: 665*p**3 - p**2 + 21*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10250 - -10268. Let a = -13 + 29. Let h = a - 10. What is the highest common factor of o and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - f**3 - 15*f**3)*(-4*f - 3*f + 6*f) + f**4 - 2*f**4 + 3*f**4.\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.165097 to one decimal place.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6606 + 6605.86. Let v = 26 - 25.6. Which is the nearest to 0.1? (a) -1 (b) -0.4 (c) z (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -1.1. What is the nearest to 0 in -5, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1329, 4781, 10375, 18111, 27989, 40009?\n\"Answer: 1071*d**2 + 239*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 3*p - 303. Is 2\/(p\/(-33) + -3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6168\/34529 + -10\/3139. Let b = 1 - 0.95. Sort b, 3, 4, i.\nAnswer: i, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 19*t + 5. Determine x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1)*(918\/(-132) + 7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)\/(h*h**(-5))*(h*h\/(h**(2\/7)*h))**18 assuming h is positive.\nAnswer: h**(243\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407591278 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/435 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 217*m + 294. What is the remainder when q(-72) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.148 + 0.058. Let m = 7 - 9. Which is the second smallest value? (a) m (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**(-2\/5))**(-1\/3))**(2\/17)\/((o**2)**(-29)\/(o\/(o\/o**(2\/5)))**(14\/15)) assuming o is positive.\nAnswer: o**(74206\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 26 + 124. Suppose s + 2*s - 5*y = 14, 34 = 3*s - y. Let h be 2 + w\/s - -2. What is the closest to 0.1 in h, 0, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-201 + 201 + 91*r)*(36 - 87 + 132)*(3*r**2 - 6*r**2 - 2*r**2)*(2 - 2*r - 2) as d*r**4 + x*r + o*r**2 + n + l*r**3 and give d.\nAnswer: 73710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2359890791?\nAnswer: 59, 5023, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 14\/4 + 53\/(-106). Is -3 - (-73780)\/21 - h\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 82, -7, -5, -31, 0 in ascending order.\nAnswer: -31, -7, -5, 0, 6, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -4.27. Let z = 2752.13 - 2753. Let u = y - z. What is the closest to -0.1 in u, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23269.\nAnswer: 23269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33721.000034327 + 33721. What is r rounded to seven decimal places?\nAnswer: -0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/331392 and 119\/260?\nAnswer: 21540480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let m be (2*(0 - 1))\/(-6). Let d be -1 - (28\/(-12) + 1). What is the nearest to m in o, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25190 * 0.216\nAnswer: -5441.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.4951 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 + -151. Let m(g) = -5 + r - 5 - 2*g. Let t = 1 + -4. Let w(s) = 1. Calculate t*w(o) - m(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 + 69*l**2\/2 - 3*l - 3. What is the remainder when i(17) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (-28 - -54) + 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:19 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0034 and -2.4.\nAnswer: -0.00816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 309708\nAnswer: -929124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29313496 rounded to four dps?\nAnswer: -1.2931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305800.6 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610*c**3*l**2*w + 29628*c**2*w**3 - 557*c*l**2 - 6*c*l*w - c + 42*l**2 - 2*l*w**3 - 3*l*w + 3*l wrt c?\nAnswer: -3660*c*l**2*w + 59256*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than 191?\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 3:23 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 8*c - c**2 + 17 - 20. Let p be w(4). Suppose -4*b = 5*h - 7 + 1, 0 = -p*h - 10. Put -2, b, 2, 1 in decreasing order.\nAnswer: b, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28884 at most as big as -28884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuiun. What is prob of picking 2 i and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.52 - 0.6. Let r = b + -0.02. Which is smaller: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3078338 and 977004?\nAnswer: 7754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*r + 74*j - 78*j, -5*j - 10 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10931125 divided by 25\nAnswer: -437245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1657784)\/(-658) + (-12)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:48 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 2*h. Suppose -h*c + 24 + 0 = 0. Solve -5*a + t - 7 = 0, -1 + c = 2*a + 2*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 28\/(-7))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 0.3 (b) -0.5 (c) -1\/2706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g - 3. Let f(q) be the third derivative of -1\/24*q**4 + 2*q**2 - 1\/3*q**3 + 1\/60*q**5 + 0 + 0*q. Let i = -9 + 6. Calculate i*u(b) + 5*f(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21943780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-77) - 446\/(-532). Let b = o + -1\/19. What is the nearest to 1 in b, 0, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 902 (base 13) to base 10\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 937710731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 104. What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 1. Let n be u(-4). Let h = n + 7. Suppose -x + 3*x = 14. What is the remainder when h is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5896)\/(-22))\/(28\/((-7)\/1))*(-6)\/6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117175518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -63, 3, -2\/13, 37, -2\/7, 156, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166527 is divided by 227?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -11, 56, 161, 310?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-10)*l))\/l)**(1\/19)\/(l\/(l\/(l*(l**(-10\/3)\/l)\/l))*(l**(-1\/6)*l)\/l))**(2\/59) assuming l is positive.\nAnswer: l**(187\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-16)*(-16)\/6. Sort -1, 5, b in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - g + 8. Let j be d(6). Let z = j + 11. Let n be (1 - 0)\/1*143. What is the highest common divisor of n and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k - 5*v, -2*k - 4*v - 42 + 38 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7618.\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63851, -63858, -63869, -63884, -63903, -63926?\n\"Answer: -2*j**2 - j - 63848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) 1 (c) 138 (d) 0.09 (e) 0.4 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1697 at least as big as 2103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003369 to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8847 times 643\nAnswer: 5688621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1106398, 2212776, 3319154, 4425532?\nAnswer: 5531910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**3 - 10*c**3 - 14*c**4 + 0*c**3 + (-c**3 + 2*c**3 - 4*c**3)*(-c + c + 6*c).\nAnswer: -32*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 18*l**2 + 87*l + 104. What is the derivative of k(g) wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1\/3*g**2 - g + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 659131 and 359526?\nAnswer: 3954786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 2, -1, -5, -4, 3047 in decreasing order.\nAnswer: 3047, 2, -1, -4, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 10*w**2 + 1634. Let c(r) = 5*r. What is k(c(j))?\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -231 (c) -3\/5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271184 is divided by 134980?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**2*m))**30)**3 assuming m is positive.\nAnswer: m**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1, -4, -3\/527 in increasing order.\nAnswer: -4, -4\/3, -3\/527, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k**3 + 16*k**2 + 29*k. Let m(i) = 2*i**3 + 3*i**2 + 6*i. What is 11*m(o) - 2*y(o)?\nAnswer: 2*o**3 + o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 57*w + 612. What is the hundreds digit of l(45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:05 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231*i**2*t**2 - 2*i**2 + 198*i*t**2 wrt i.\nAnswer: 462*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in -0.2, -1, 0.21, -5, 1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(891) + -2*sqrt(891) - (1 + sqrt(891) - sqrt(891))*-4) + 5 + -2*sqrt(891) + -4 + (sqrt(891) - (4 + sqrt(891) + 1 + sqrt(891))))**2.\nAnswer: -360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4532714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.1. Let l = h - 0.9. Let x = 4\/353 + 333\/1765. Which is the closest to x? (a) l (b) -1\/10 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 4. Let d be g*8\/6*3. Let j(a) = -2*a - 2. Let l be j(-3). Solve d + l = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32820 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (20 - 3) + (134 + (15 - 11) - 4)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -16.09?\nAnswer: -16.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:01 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 29, 205 in descending order.\nAnswer: 205, 29, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 3*c - q + 10, 4*c = 4*q. Let z(p) = -37 - 4*p**c - p + 37. What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -12*w**2 + 1\/60*w**5 + 0*w + 0 + 0*w**3 + 0*w**4 + 0*w**6 + 1\/5*w**7. Find the third derivative of o(l) wrt l.\nAnswer: 1008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985 divided by 122.\nAnswer: -985\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6100 = -5*c, 3731 + 1157 = 4*c - 4*d. Let f = -7399 - -9863. Let n = f - c. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 25*y**2 - 22*y + 51. Let h be z(-24). Suppose 4*o = -2*m - 10, h*m + 4*o + 0*o + 5 = 0. Solve 0 = 4*w - 3*k - 11, m*w = -7*k + 2*k + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 3*u + 41 = 0, 4*z + 4*u = -84. Let t(k) = -k**3 - 26*k**2 + 9*k - 3. Let x be t(z). Let y = 440 + x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 561704133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4117 in 0.072, 0.1, 1\/5, 2?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002524862 rounded to 7 dps?\nAnswer: 0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031 = 13*f + 1083 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/3078)\/((-6)\/27). What is the closest to -5 in r, 2\/11, 2\/15, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 0, -14*d = x - 18*d - 24. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s + 2*s + s - 7*s to a*s + n and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -2*p - 68, 5*p = 10. Suppose -2*t - q - 5 = -3*t, 5*q + 5 = 0. Suppose 0 = k - 1 - 3. Solve t*w + 4*a - 8 = -0*a, -k*w + a + b = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 970, 1421, 1880, 2347, 2822, 3305?\n\"Answer: 4*i**2 + 439*i + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -55. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 19 + -10 - (4 + 6 - 20)) + -70\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngbbvghnt. What is prob of sequence bvb?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k**2 + k**2 - 3*k**2. Let s(p) be the third derivative of p**5\/20 - 3*p**2. What is m(s(q))?\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8172, 0.2, 0, 2?\nAnswer: 8172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 13628.5 and 2.\nAnswer: 13630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t + 3. Let k be i(-2). Suppose -1 = y + k*h, 4*h = -5*y + 2 + 15. Solve -3*v + a + 0*a = -10, 14 = y*v - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2504)\/(-10) + 18\/(-45). Let y be 9\/3 - 4 - f\/1. Is (2 - (-2 - -6))\/(2\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4797 - 4797 + 234*f**2)*(-5*f + 4*f + 2*f)*(6 - f - 6) + (2 - 2 + 3*f)*(-2*f**3 + 3*f - 3*f) to n*f + m*f**2 + q + p*f**4 + h*f**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83047, 83059, 83079, 83107, 83143?\n\"Answer: 4*w**2 + 83043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6944291 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48655 + 1111*g - 48655)*(0 + 0 - 8 + (1 + 2 - 1)*(-2 + 1 - 1) - 1 - 1 + 3 - 1 - 2 + 5).\nAnswer: -9999*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110892619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -15?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92584528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2960.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 11) to base 5\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = -2*y, -2*h - 3 + 1 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 123?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.2 (b) -1251 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:03 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 19*x**2 + 2*x - 6. Let c be d(10). Let g = 15331\/8 - c. Find the common denominator of g and -101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 2. Let r = 105 - 96. Let j(m) = -2 + 8*m + 2 + 2 - r*m. Determine -5*j(y) - 4*l(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 - 3 - y**2 + 7*y**2 - 3*y**2 - y**3 in the form f*y + u + o*y**3 + h*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/63)\/(-3*9\/1008*2)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 23*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 1 + g + 6*g**2 - 5*g**2. Let b be w(-1). What is the derivative of -10 + 4 - 5 + b - 8*q wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5. Let i(h) = 23*h**2 + 20*h + 40. Let c(o) = -16*o**2 - 14*o - 28. Let n(v) = -10*c(v) - 7*i(v). Determine l(r) - n(r).\nAnswer: r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5391 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176d (base 14) to base 11.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -282, 116, 1136, 2988?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 45*r + 1. Let y be x(-1). Let m be 2\/(-4)*(-2471)\/(-28). Let a = m - y. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1407 and 63.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 3:09 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d + 0*d - d + 10 + 0*d. Let a be p(10). Suppose 2*h - 3 = b, -4*h + 2*b + 2*b = a. Solve -5*i - h = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30*v**2 - 10. What is the tens digit of y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvn when three letters picked without replacement from nnnnnqnvnpnpvppnn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:14 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -6*k + 104 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1322*z**6 - 1330*z**6 - 58*z**2 - 14*z**2 - 6*z**3 wrt z.\nAnswer: -960*z**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 211 + 23. What is the smallest common multiple of 378 and k?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176*0.69\nAnswer: 811.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 97*m - 809. Let p(s) = s**2 - 11*s - 3. Let x(r) = b(r) + p(r). Factor x(i).\nAnswer: -2*(i - 29)*(i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58389.\nAnswer: 3, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2941103 or -1?\nAnswer: -2\/2941103","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 44625\nAnswer: -1\/8925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 + 18.8. Let k = -15.4 + i. Let j = k + -12.1. Put -2, 2, j in increasing order.\nAnswer: -2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -141. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 86011 and -0.3795896.\nAnswer: 86010.6204104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 37*w - 5470 = -6878 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-20) + -3 - 18996\/(-20). Suppose 0 = j - 4 + 5. What is the tens digit of (z\/26)\/(j\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -80473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(-1 + 16\/18). Let v = 19 - 25. Let f be -1*(-2)\/v*3. What is the nearest to f in -0.2, s, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2756 = -51*o + 1222. What is the lowest common multiple of 72 and o?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361449 is divided by 2426.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 19 - (41 + (25 - 68)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 223?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.062 in 0.6, 70, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 22 = 3*i - 31*m + 102, 2*i + 22*m - 44 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l + 2. Let g(v) = 11*v. Determine g(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 13*q - 11*q - 16*q + 44*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1696*k = -1707*k - 110. Let p be 4*k*30\/(-400). Let -2\/3 - 4*f**p + 4*f + 2\/3*f**2 = 0. What is f?\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 0.4 (c) 258222 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.7. Let c be 52\/30 - 28\/21. What is the fourth biggest value in 8\/5, -5, l, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 30434\nAnswer: -1\/30434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(63) - sqrt(63)*-2) + (sqrt(162)\/(sqrt(18)\/sqrt(3)))\/sqrt(9).\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -10, 57, 3\/8, 0.1, -1\/2, 2\/11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326 and 393971?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -28 in increasing order.\nAnswer: -28, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Suppose z = 3*n - 2*n - 3. Sort 12, -5, n in decreasing order.\nAnswer: 12, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351) + sqrt(39))*-1 + sqrt(39) + sqrt(5616)*-1)\/(sqrt(243) - (sqrt(243) - sqrt(243)*2*5)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**5\/5 - 15*l**4\/2 - 24*l**3 - 33*l**2 - 21*l - 1741. Factor u(m).\nAnswer: -3*(m + 1)**3*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {v: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 + 2 = 14*h. Which is the closest to h? (a) 2\/9 (b) 0.036 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499978521.\nAnswer: 3, 7, 19, 37, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {k: 3, c: 4, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7128377 (base 10) in base 3?\nAnswer: -111102011021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by -820\nAnswer: 124\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -44090146.\nAnswer: 176360584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424\/(-24)*1*2\/(20\/((-20)\/(-2)))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.236, -7330\/13?\nAnswer: -7330\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = -2*i + 2, 4*i = -3*o. Let d be (-3)\/o + (-5)\/20*-4. Which is the nearest to d? (a) 3 (b) 1\/22 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-186)\/(-14) - (-30)\/(-105)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i)**(5\/9) assuming i is positive.\nAnswer: i**(55\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + 2*r**5 - 2*r**5 + r + 2*r**5 - r + (3*r - 6*r + 2*r)*(2*r**4 - 7*r**4 + 3*r**4) - 87 + 87 - 31*r**5.\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-685)\/(-411))\/((-290)\/(-12))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p*p**(-16))*p*p)*p**(-25)\/p)\/(p*p*p\/((p\/p**1)\/p)*p)**(-14) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 4*l**2 + 0*l**2 + 2*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161734 is divided by 11193.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.3. Let k = z + -0.1. Let d = -22.5 + 23. Which is the third biggest value? (a) -4 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80510*0.4.\nAnswer: 32204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 29 (c) 0.4 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222907 is divided by 1109.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1011011011010110101000001?\nAnswer: 1011011011010110101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -10*h + 11*h. Let q = 16 + -3. Calculate the highest common factor of h and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 21 - 1)*(-2*q + 1 - 1) + (-2*q + 3*q + q)*(-2 - 1 + 1) to the form m + w*q and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2561 divide 728263887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-13))\/i**(9\/8))**(24\/11) assuming i is positive.\nAnswer: i**(-315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 138, 52, -3 in increasing order.\nAnswer: -3, 0, 52, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380601.\nAnswer: 53, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*l**2 - 7669*l - 1 + 15331*l + 6*l**4 + 3*l**3 - 7662*l as x*l + i + n*l**2 + k*l**3 + o*l**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from {s: 6, m: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104933159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(2\/17)\/((i*((i*i**(-1\/10))\/i)\/i*i)\/i**(2\/15))*i**(1\/7)*i*i**5*i*(i*i**(-1))**(2\/19) assuming i is positive.\nAnswer: i**(22483\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = 5*j, 0*u - 3*u + 12 = 4*j. Let m(n) = n - 2. Let a be m(-2). Let k be a\/(-14) - (-26)\/7. Is k greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 519 - 520. Let d(m) = -298*m + 37. What is the hundreds digit of d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 33*x = i - 39, -4*i - 178*x = -127*x - 278 - 1946 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 - 31*r**3 - 29*r**3.\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.8733 + -0.1133. Let s = -0.24 - l. Let j = 20 + s. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 3\/2 (b) 10 (c) -4.2 (d) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 + 64968420*y\/7 + 1055223899324100\/7.\nAnswer: (y + 32484210)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -12) + 11 + -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -17 - 29150\/2120?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*f**2 - 3350*f**2 - 5674*f**2 + 60*f**2.\nAnswer: -9203*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 6 = 0. Let o(w) = -w + 2. Let i be o(c). Solve 0 = 5*h - 3*m - i*m - 14, -24 = -4*h - 4*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29947610 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*g - 8 - 421*g + 840*g.\nAnswer: 4*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/(-18) + (-24)\/108. Suppose -i*j - 4*b + 420 = 0, j - 120 = b - 17. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01358 times -0.9?\nAnswer: -0.012222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2828, 7267, 14610, 24857?\n\"Answer: 1452*u**2 + 83*u + 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41444 and 0.7.\nAnswer: 0.290108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127158 + 3871*n**3 + 127158.\nAnswer: 3871*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3318*f + 4 + 2292*f + 574*f. Let p(o) = o**2 + 11*o + 23. Let w be p(-3). Let g be n(w). What is g rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3.7289133us?\nAnswer: 0.00000000004315871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33805655?\nAnswer: 5, 13, 19, 31, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71598 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let i(l) = 14*l - 5. What is h(i(n))?\nAnswer: 392*n**2 - 280*n + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 858.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.62005g in nanograms?\nAnswer: 65620050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/7 + 645464*w\/7 - 52077971912\/7 = 0.\nAnswer: 161366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:14 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 - 1\/3*i**3 - 1\/12*i**4 - 1\/2*i**2 + 14*i. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - -3.3. Let g be 7\/(-20) - (-4)\/16. Let j = -9\/10 - g. What is the third smallest value in u, j, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 426225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5888*u**2 + 11791*u**2 - 5896*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 93346387 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352309 divided by 3.\nAnswer: -352309\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013965, -1013968, -1013973, -1013980, -1013989?\nAnswer: -1014000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 3*f + 8. Suppose -2*i - 8*q = 62, -4*q + 24 = -8*i + 4*i. Let k(g) = -3*g**2 + 5*g - 15. What is i*h(s) - 6*k(s)?\nAnswer: -4*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 55c3?\nAnswer: 55c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -64 + 8. Let m(k) = -k**2 - k + 34. Let j be m(5). Suppose 3*x - x - 2*f = 4, 0 = j*x - 5*f - 8. Calculate the greatest common factor of b and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 13, a: 3}. What is prob of picking 3 q and 1 a?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -55696*l**5 + 1224840*l**4 + 4410367*l**3 - 5532290*l**2 - 47121*l - 100 = 0. What is l?\nAnswer: -4, -1\/236, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 433*j - 431*j = -9, -2*j = 19*q + 10*q - 3*j + 128 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 2781.\nAnswer: 2780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 110, 122, 138?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 + -130.8. Let y be 288\/160*(-2 - 7\/(-3)). Which is the nearest to 0.2? (a) w (b) y (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/(v\/(((v\/(v*v**19))\/v)\/v)))\/((v*(v\/(v*v**(-5\/3)))\/v*v)\/v)**(19\/3))**(-17) assuming v is positive.\nAnswer: v**(4981\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d11 - -31a?\nAnswer: -69d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 8. Let n(k) = 3*k - 10*k**2 - k**2 - 15*k - k**3 - 13. What is the remainder when 13 is divided by n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -650 (base 8) to base 6\nAnswer: -1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150309 and 76473.\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 8:00 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 246, 247, 248, 249?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 40*o - 181. Suppose -3*s - 3*m + 3 = 0, 3*s + 4*m + m - 9 = 0. Sort o, s, -9, 1 in increasing order.\nAnswer: -9, s, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 180 in ascending order.\nAnswer: 0, 1, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 447\/5 + 8\/(-20).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 3:45 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**10\/30240 + j**7\/2520 - j**4\/6 - 2*j. Let c(x) be the third derivative of v(x). Find the third derivative of c(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - -7) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 2*r + 5*r + ((-2 - 4 - 1)*(7 + 24 + 3) + (3 + 1 - 3)*(-5 + 6 + 0))*(0 - 3 + 4)*(-1 + r + 1) to f + g*r and give g.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5666342 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11. Sort k, -0.1, -1\/3.\nAnswer: k, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240354 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) -0.2 (b) 5\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 269228990 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 386*l + 387*l + 14 = 0, 161*r - 1777 = 2*l for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*0.2825971.\nAnswer: -5.651942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-8))\/(2\/12). Suppose 2*d = -0*d + k + 8, 3*d - 30 = -3*k. Let b be (d\/(-4))\/(2\/(-4)). Solve -b = c*u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9973 - -69810\/7. Which is the nearest to 0.3? (a) -39 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -67.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 99 = -16*w. What is the third derivative of 3*f**w + 3*f**6 + 4*f**3 - f**6 - 5*f**2 wrt f?\nAnswer: 600*f**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 40 = 4*q + 5*h, -q + 10 = 3*h. Suppose -2*u + 6 = -3*y, 2*u + q = -0*u - y. Let d(k) = -k**3 - 3*k**2 + k - 1. What is d(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 2, 4, -4, 11.\nAnswer: -58, -4, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.1 (c) 2\/13 (d) -5 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-10)\/30 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001268688 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 7*k - 5. Let d(u) = -7*u**2 - 6*u + 4. Give 6*d(j) + 5*g(j).\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30*7\/(-84))\/((-10)\/(-12)). What is the tens digit of -5 - (23542\/(-12) + g\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.262, 4, -0.2, 0.707 in descending order.\nAnswer: 4, 0.707, 0.262, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33780 and 128364?\nAnswer: 641820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25039462 equal to -25039462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17964*k - s = -17959*k - 112, 0 = s - 2 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5689623.\nAnswer: 3, 857, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 84*o + 83. Let m(b) = -b**2 + 56*b - 55. Let c(d) = 7*m(d) + 5*q(d). Let a be c(-15). Solve a = -4*r + 11*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 37*l**2 - 161*l - 34. Calculate q(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12 - (119407\/(-388) - -304)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**(4\/21)*(s**(-2\/49)*s)**(-6) assuming s is positive.\nAnswer: s**(-902\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 847861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 1119?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 5. Let j be (0\/3)\/(-3) - -1. Let b be 18\/(12\/(-8) + j). Let o = -36 - b. Determine a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 77750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*m**2 - 240*b*m - 11*b + 7*m**2 - 5*m + 126862 with respect to m.\nAnswer: 4*b*m - 240*b + 14*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1998*n**3 - n**2 + 416*n wrt n?\nAnswer: 11988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 5*s - 2*s + 1 + 0*s + (3*s**2 - s**2 - 4*s**2)*(-7 + 2 + 2).\nAnswer: 9*s**2 - 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -140. Suppose 4*j - 36 = 2*a + 2*a, 3*j - z = -2*a. Solve 0 = -4*o + 8*o - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 19. Sort -2, 4, i in decreasing order.\nAnswer: 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 + 4*m**2 - 36*m + 77. Let t(u) = 9*u. Calculate q(o) + 4*t(o).\nAnswer: -10*o**3 + 4*o**2 + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521380752 by -1.\nAnswer: 521380752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 291087*f + 11. Let t be p(10). Let y be (2 + 1)*5\/3. Suppose -t = -y*d - 10881. What is d rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.51 + -0.51. Suppose 0 = c - 4 + 1. Let v be 87\/27 - c - 0. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.1 + -6. Let s = -41\/132 + 1\/4. Let t = s + 13\/33. Which is the closest to -0.2? (a) t (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let u(p) = -4*p + 1. Let s(x) = -x**3 - 3*x**2 - x - 4. Let y be s(-3). Let q be u(y). Solve -3*t - g*t + 15 = -h, -3*h - 5 = q*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 14 - 22 - 11855*o - 3027*o in the form u*o + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -28. Solve c*p + 5 + 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 6:36 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*f + 113*f = 646*f + 63*f + 119000 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 6*a + 6. Suppose -4*u = -5*o - 1, -u = -2*o + 5*o + 4. Let z be y(o). Solve 6*l + 12 = z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6237157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 13 = -25. Suppose -r*m + 42 = 4*m. What are the prime factors of (-490)\/(-42)*m\/2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2057610 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80580 and 816?\nAnswer: 322320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4819 + -16?\nAnswer: 4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 155*c**2 + 40*c. Let k(l) = 16*l**2 + 3*l - 12. Let s(a) = 33*a**2 + 6*a - 27. Let t(n) = 9*k(n) - 4*s(n). Determine 3*g(u) - 40*t(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 - (-23)\/7. Let d = 7 - k. Let c(s) = 0 - 3 - 3*s + 3*s - 2*s**2 + d*s. Calculate c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -132*l - 5663. Let f be h(-43). Let r = 29 + -88\/3. What is the closest to r in 2, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(950)*4*-1)\/(6*sqrt(6)\/sqrt(3)*6*3)*-1.\nAnswer: -5*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 + 7*b - 2. Let h be c(-8). Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2 - m**2 - 3*m + 0*m**2 + 0*m. Let d(g) = -4*g**2 + 36*g - 3. Let b be d(9). Let y be x(b). Solve n = -n + y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -239, -240, -241, -242, -243?\n\"Answer: -r - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - f**2 - 117.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 - 3)*(-23*t**2 + 142*t**3 - 5*t**2 + 25*t**2) to the form o*t + k*t**2 + a + u*t**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/209776 and 89\/5379256.\nAnswer: 75309584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-496)\/868)\/(78\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 18. Let m be y(-8). Differentiate 359*u - 1 + 9 - 359*u - 5*u**m with respect to u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160640 - 45?\nAnswer: -160685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + 1 + (sqrt(1008)*1*4 - (1 + -2*sqrt(1008))))**2.\nAnswer: -576*sqrt(7) + 36301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -0.2706528\nAnswer: 8.6608896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.3, -3, -1\/7, -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -136, -180, -220, -256, -288, -316?\n\"Answer: 2*c**2 - 54*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.4, 6\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37143)\/107302*((-16)\/6)\/(-2)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 6 - 30. Let t = z + 38. Calculate the highest common divisor of t and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 9*v**2 - v + 10. Let j be d(-9). Let a = -4 + j. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -614*p**2 - 43*p**2 + 1042*p**2 + (-4*p + p + 2*p)*(6*p + 0*p - p) as z + q*p**2 + k*p and give q.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, n: 1, x: 2, t: 2}. What is prob of sequence rnr?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2090 and 22.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-13)\/(-26)*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 8 = 0. Suppose 5*n - j*w = 4350, 0 = -4*n - 4*w + 1578 + 1902. What is n rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 4, n: 2}. Give prob of sequence nf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(22) + sqrt(22)*1 - sqrt(22))\/sqrt(2) + 2*sqrt(11)*2 + 4*sqrt(11)*-2)**2 + ((1*sqrt(198))\/sqrt(9))\/(6*sqrt(8)\/sqrt(4)) + 0.\nAnswer: sqrt(11)\/6 + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let m be (-1768)\/20 + 6\/15. Let j be m\/((-2)\/1 + 1). Let q(p) = 9*p**2 + 88*p - j*p. What is t(q(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3)*d)**(-38)\/(d**7*d*d\/d**(-1)))**(-1\/24))**(-1\/5) assuming d is positive.\nAnswer: d**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -35. Calculate the remainder when 41 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4*1034374\/(-11847). Let w = -2\/359 + z. Calculate the common denominator of w and -1\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*w - 5. Let q be w\/(-135)*(2 + 1). Suppose 0 = -3*n - 4*n. Which is the nearest to n? (a) q (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*o + 0*o - 99 = 0, 4*a + 223 = o. Let k = a + 60. Solve -2 = 5*c - k*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 + j + 3*j**4 + 2*j**2 + 4 - 5 in the form g*j**2 + x*j**4 + c*j + r + k*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/47 or 74998\/95?\nAnswer: 74998\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 3*r - 5*r + 7*r - 12*r + 0 + 0 - 2*r - 2*r + 2 - 2 - 2*r + 0 + 0 + (-1 + 1 - r)*(5 + 0 - 4) - 4 + 2*r + 4)*(r + 0*r - 3*r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:00 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from jqjaeyiie?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4 + y**2 - 7*y + 3 + 2*y. Suppose 2*o - 22 = -4. Let z = -4 + o. Calculate d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75018, 75017, 75016, 75015?\nAnswer: 75014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -1387 in descending order.\nAnswer: 0, -1, -1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2300 + 193?\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 449, 990, 1679, 2576, 3741, 5234, 7115?\n\"Answer: 10*u**3 + 14*u**2 + 429*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20681 + 1569 = -40*p + 5168. Is 64 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189330.596 to the nearest one hundred.\nAnswer: 189300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312 + -1202?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 4 (c) 2\/11 (d) -1\/5 (e) 6.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52473953?\nAnswer: 7, 19, 157, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1589*i**4 - 582 - 441 - 1297 - 1572 wrt i?\nAnswer: 6356*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 - 124*r**3 - 3935*r**2 - 10952*r - 7140 = 0 for r.\nAnswer: -70, -51, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 180. What is the lowest common multiple of 0\/(-1)*1 - -8 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.7. Let h = 1.5 + 3.5. What is the closest to 0.1 in h, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.5 + 15. Let s = i + 20. Let a = -16\/3 - -6. What is the closest to 1 in 0, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 67*x**3\/3 + x**2\/2 - 2*x - 5. Does 22 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*g + 41 = -17, -66 = 4*n + g. Is 8 a factor of (n*(5 + -1))\/(2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -688.7 + 629. Let l = -64.7 - j. What is the biggest value in 2\/5, -10, 1\/6, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a143 (base 11) to base 6\nAnswer: 142222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*3 - 0)*-1. Let m = p + 0. Differentiate u**2 - 3 - u**2 - u**m + 0*u**2 with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 69214*h\/13 + 5324\/13.\nAnswer: 2*(h + 2662)*(13*h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 20*s + 48*s + 12*s**2 - 29*s + (-5*s + s + 5*s)*(-2*s + 2*s**2 + 2*s) + 2*s**3 + 2*s**3 - 5*s**3 to x + u*s + h*s**3 + g*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - 11) + (4 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -434 - -440. Suppose 3*f - 25 = -2*f - 5*p, -p = 5*f - 21. Suppose 8*x - f = c*x. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(-2\/5)\/l*l))**(2\/15))**47)**(2\/7))**(-16) assuming l is positive.\nAnswer: l**(-6016\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/17410 and -23\/7814.\nAnswer: 68020870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-28)\/((-280)\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.862 + -19.804. Which is smaller: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2 - 59*n + 48*n - 9*n**2 wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/24 and -51\/190.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -14. What is the second smallest value in 1\/2, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(98) + -1) + sqrt(98) + -3)**2 - (1 + 1*(2 + sqrt(98) - sqrt(98))**2).\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-4)\/(-8))*-1. Suppose 4*v - w - 19 = 0, 0 = -0*w + o*w + 6. Solve v*c = 5 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 5:16 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.284 + -0.284. What is the nearest to 1 in -5, o, -6\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 79910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 0, -40 = -5*d - 4*z - z. Suppose 0 = -4*r - 3*j + 1010, -11*r + d*r - 3*j = 514. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -610, -1240, -1872, -2506?\n\"Answer: -d**2 - 627*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64317, 64330, 64343, 64356?\n\"Answer: 13*r + 64304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 34 + 478 = 4*r, -2*q = -5*r + 548. Let n = r - 72. Let l = 4 + n. What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*b + 86*b - 45. Let g(f) = 2*f**2 + 19*f + 11. Calculate the remainder when g(b) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 307*i**3 - 17807*i**2 - 921863*i + 3003.\nAnswer: (i - 91)*(i + 33)*(307*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5328 and 37296.\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442322 (base 6) in base 13?\nAnswer: 6262a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) + ((-186)\/(-30) - 4). Suppose 3*y**2 - 27*y**s - 9*y + 0*y = 0. Calculate y.\nAnswer: -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 17844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/17))\/c**(-3\/5))\/(c*c**(-6))**(-1\/6) assuming c is positive.\nAnswer: c**(481\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 4. Let l(s) = 5. Let k(g) = -4*l(g) + 5*u(g). Let z(i) be the second derivative of -i**4\/6 - 19*i. What is k(z(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 283617271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:17 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17665 - 17664.9. What is the closest to s in -25, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opxopooojxoo. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 3*r + 7\/2*r**2 + 0 - r**3. Suppose -28 = -3*t + 5*j, -2*j - 32 = -3*t - 1. Let q(u) = -3*u + 4. Give t*q(m) - 6*f(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/182 and -77\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2. Let m(p) = 3*p**2 + p - 6. Let s be m(3). Suppose -u + 53 = -s. Let w(n) = 77 - n - u. Give w(z(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 36*w - 597. Let j(s) = 10*s - 149. Give -15*j(g) + 4*l(g).\nAnswer: -6*g - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -2, 93, -4, -1.\nAnswer: -17, -4, -2, -1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjfjujmujm. Give prob of picking 1 j and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -3*v - 7. Suppose 105*b - 99*b = 198. Calculate the least common multiple of v and b.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by -966?\nAnswer: -130\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, 1 t, and 1 p when four letters picked without replacement from {d: 1, e: 2, v: 1, t: 4, p: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-48)*20 - 4148\/(-288). Let r = 250\/9 - n. What is the common denominator of r and (2\/(-24))\/(4\/(-93))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11987, 12423, 13149, 14165, 15471?\nAnswer: 17067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32883 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22303020 (base 4) to base 11\nAnswer: -30261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/4, 5.\nAnswer: -1\/4, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-27)\/6*(-4)\/(-8). Let u(l) be the second derivative of l**3\/3 - 10*l**2 + l. Let j be u(d). Put 3\/4, j, -0.4 in decreasing order.\nAnswer: 3\/4, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -498612 divided by -249306\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 339*x**5\/20 - 183*x**4\/4 - 575*x. What is the third derivative of m(p) wrt p?\nAnswer: 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-8)*t**(1\/43)\/t assuming t is positive.\nAnswer: t**(345\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 289, 277, 241, 169, 49, -131?\n\"Answer: -2*s**3 + 2*s + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.9251297552 - -0.0748691848. Let b = a - 10. Round b to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 3*l**2 - l + 7. Let j be g(3). Suppose -2*i - 2 = -5*u + 4, -i + 23 = j*u. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*l*u + 9*d**2*u**2 + 2*d**2*u + 10*d**2 - 4*d*l*u**2 - 11*l*u wrt u?\nAnswer: 18*d**2 - 8*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:34 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148528*i**4 - 45*i**3 + 178299984 with respect to i.\nAnswer: 594112*i**3 - 135*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643523 (base 7) in base 15?\nAnswer: -47e76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-24)\/32))\/(2\/(-9)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x)\/x)**(-1\/5)\/(x**(-1))**(-42) assuming x is positive.\nAnswer: x**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -230, -4, -764 in increasing order.\nAnswer: -764, -230, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 22*q**2 + 113*q - 1. Let f(j) = 2*j**3 - 29*j**2 - 114*j + 1. Calculate -3*f(l) - 4*i(l).\nAnswer: 2*l**3 - l**2 - 110*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12370 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-8)\/(-18)) + (0 - -3). What is the biggest value in 0, o, 0.4, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -41*t - 277. Let m be f(-6). Suppose 3*i + 156 = -i. Let z = m - i. What is the remainder when 54 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839, 6793, 22967, 54473, 106423?\nAnswer: 183929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or 2236681?\nAnswer: 2236681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = 4*l. Let u(n) = 2*n**2 + n - 1. Let c be u(l). Let p be 2\/(-2*1) + 1. Put p, c, -3 in descending order.\nAnswer: c, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 5*j - 2. Let o be s(6). Let u = -6 + 8. Suppose z + u*z - 18 = 0. Calculate the greatest common factor of o and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4376 + 4402.068. Let h = n - 0.068. Let i = h - 26. Which is the nearest to -2? (a) i (b) 2\/17 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37038763211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(136) + sqrt(136)*-2*3)\/sqrt(8).\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984887?\nAnswer: 59, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24273 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 divided by -4?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 0, 19, 58, 123, 220, 355, 534?\n\"Answer: u**3 + u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (102 - 102 - 15*o)*(-1051*o + 526*o + 527*o + 91) in the form c*o**2 + y*o + w and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*p - 15, 0 = 2*p + 3*p - d - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvcg when four letters picked without replacement from {i: 1, q: 4, c: 2, g: 3, v: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.81999996 - 0.82. What is u rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:48 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**17*b))\/b)\/(b*b\/b**(2\/15)*b))\/(b**(-20)*b)**(-2\/35) assuming b is positive.\nAnswer: b**(-461\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1898*z - 1305*z + 994*z + 5602*z.\nAnswer: 7189*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 917311727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let g = 1 + -2. Let y = 8775 - 8771. What is the closest to g in y, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 252, 372, 476, 558, 612?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(((-144)\/12)\/(-168))\/(4*(-3)\/264)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40\/3 (b) -0.3 (c) 16208\/7 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -59. Let m be w*(4 - 6 - -3). Suppose -f - r + m = 0, -5*r + 165 + 4 = 4*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(24\/(-17)) - 15\/40?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 + 1. Let w be k(-1). Let l be 4\/w - (-53)\/5. Let t = l - 2. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.647484 litres to millilitres.\nAnswer: 2647.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 277 and 0.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 5*r - 3. Let d be y(-7). Does 46 divide d*((2\/(-5))\/1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 + -7.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 11*g**2 - 19*g + 22. Let l be a(11). Let n = l + 111. Let z = n - -92. What is the remainder when 28 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let d(f) = 4*f**3 + f**2 + f - 1. Let w be d(g). Let k(v) = 135*v + 5. Let j be k(w). What is j rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -8. Let a = 10 + r. Which is bigger: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80 - 1?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 3. Let f = -17 + 17. Let k be o(f). Solve -1\/3*z**k + 1\/3*z + 0 - 1\/3*z**2 + 1\/3*z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + 1)*(3 + 1 - 3) + 1 - 3 + 0)*(-3*y + 2*y + 2*y) - 13*y + 240 - 240 to the form p + q*y and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q + 64. Let d be i(-5). Put d, -3, -28 in increasing order.\nAnswer: -28, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*c**4 + 22\/7*c**3 + 52\/7 - 54\/7*c**2 - 22\/7*c = 0. What is c?\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + j**3 - 3*j + 0*j**3 - 2*j**3 + 4*j**3 + 3*j**3 - 5*j**3 + 3*j**3 + (2 + 2 - 5)*(-3*j**2 - 2*j**3 + 3*j**2) - 8*j**3 + 13*j**3 + 7*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 3:24 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -934 - -2123. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4495 is divided by 1118?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:39 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0049 - -87.7349. Let b = -89 + p. Let q = 15.47 + b. What is q rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 5) to base 8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41618994 rounded to the nearest 10000?\nAnswer: 41620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1802.147nm to centimeters.\nAnswer: 0.0001802147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by -6.\nAnswer: 145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(4\/5))\/m**(1\/5))\/(m**2)**(-11\/3) assuming m is positive.\nAnswer: m**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12367, 12369, 12371, 12373, 12375?\nAnswer: 12377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**2 + 1\/24*a**4 + 0*a**3 + 0 + 0*a. Let w(f) = 2*f. What is w(r(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrxxxpxrlpx. Give prob of sequence prl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 + 2*v - 15. Let w be p(7). Let a = 2\/233 + -707\/932. Suppose 9*d = 14*d + 15. What is the second biggest value in a, w, d, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jtjtjccjcjc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 4. What is the units digit of q(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 100*v**2 - 260*v - 880.\nAnswer: 5*(v - 4)*(v + 2)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1 + sqrt(275) + sqrt(11) + 3 + sqrt(22)\/sqrt(2) + 5 + -1 + sqrt(11) + 5)**2.\nAnswer: 338*sqrt(11) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2 - u - 3. Let n be r(0). Let w be (1 + -8)*12\/14. Let d be w\/9*n*-1. Which is greater: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/100*2*(-4)\/2. Which is the biggest value? (a) -1 (b) 4\/5 (c) h (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 3. Let k(d) = -2*d + m*d + 1 + d + 2*d**2 - 5*d**2 + d**3. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k = 19*k + 221. Which is the third smallest value? (a) -1 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4330 + -5420225?\nAnswer: -5411455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:31 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*i = 83*i - 159*i + 10131534. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87662 - -6?\nAnswer: -87658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2952.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 + 0 + 0)*(-25 - 18 + 37)*(3 + 1 - 3) + (-2*m**2 + 0*m**2 + 0*m**2)*(1 + 3 - 2) in the form g + j*m**2 + n*m and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33964 equal to 75.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -0.2 (c) -2\/9 (d) 8 (e) 307\/126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15736958 by -103.\nAnswer: -152786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 4 (c) 3 (d) 0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 8, 216, -4.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233588191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momo when four letters picked without replacement from {o: 14, m: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159824 and 83268304?\nAnswer: 83268304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = -a - 10*p, -2*a - 12 = -4*p. Suppose -5*z - 3*l + 8 = 0, 5*l - 1 = -a*z + 4*z. Is 9 a factor of z\/(0 - (-1)\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -21. Let y be (-3*(-12)\/(-10))\/((-10)\/50). Sort h, 3, -3, y in ascending order.\nAnswer: -3, h, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -42 (b) -0.5 (c) 4\/5 (d) -123 (e) -8 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -10, -435, -0.037, 5 in increasing order.\nAnswer: -435, -10, -0.5, -0.037, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9200*r - 5573*r + 12198*r to y*r + b and give y.\nAnswer: -2575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553280786*c**3 + 553280824*c**3 - 1106561609*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -560 (base 11) to base 3.\nAnswer: -220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0273 * -0.2.\nAnswer: -0.00546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*b)*(7*b + 3*b - b) - b**2 - 7*b**2 + 0*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82079253*u**3 - 252364354 wrt u.\nAnswer: 246237759*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 149. Let o(j) = j - 13. What is y(o(s))?\nAnswer: -3*s - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33810115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4022, 4021, 4020, 4019, 4018, 4017?\n\"Answer: -s + 4023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + x)*((-x - 2*x + x)*(2076*x**2 - 1139*x**2 - 1172*x**2) + 3*x**3 - x**3 - 3*x**3).\nAnswer: 469*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 74 - 26. Let i = c + -22. Suppose 3*h + i*y = 2*y + 157, 0 = h + y - 53. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485012687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1458)\/(-135) + (1 - 4\/5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**3 - 12*h**2 + 12*h - 9. Is o(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 11. What is the remainder when 1375\/105 - (-4)\/(-42) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 4*p - 21*p**2 + 7*p as i*p + l*p**2 + h and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i + 592. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 95283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.74 - -0.04. Let m = b + 2.4. What is m rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 34*y + 42 - 35. Sort 33, y, 2, -1, -14 in descending order.\nAnswer: 33, 2, -1, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 - 167 = 15*k. Let z be 6\/(1\/((-2)\/(-4))). Suppose -18 = -z*f + f. Calculate the greatest common divisor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1675*i**3 - 82*i + 7. Let s(m) = -1673*m**3 + 85*m - 9. Let o(t) = -6*f(t) - 5*s(t). Find the second derivative of o(u) wrt u.\nAnswer: -10110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/59236080 and -95\/344?\nAnswer: 2547151440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*2\/10*(-355)\/142?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g - 4. Let s(v) = v**3 - 6*v + 7. Give -7*f(i) - 4*s(i).\nAnswer: 3*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 5*o + 197 - 1530 - 519.\nAnswer: -2*o - 1852","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*x - 14, -2*w + 2*x + 2727 = 2765 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30806?\nAnswer: 2, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-5)\/(375\/300)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*d - 7996 = -l, 3205 = -2*l - 5*d. What is the units digit of (2*85\/2)\/((-100)\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2938 + 11008. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353075820?\nAnswer: 2, 3, 5, 503, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/43150 and -61\/51780.\nAnswer: 258900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {l: 1, v: 4, a: 2, s: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1210661\/5447853 + -3\/605317. Factor 2\/3*c**2 - o*c**4 - 8\/9*c - 8\/9 + 4\/9*c**3.\nAnswer: -2*(c - 2)**2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v + 3 = 2*l, 4*l - 3*v = 27. Suppose i - 2*i - l = 4*y, 4*y + 5 = 3*i. Let g be (-2)\/y*(-2 - -4). Solve n - 1 = -m + g*n, -2*m = -5*n + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239565*a**2 + 119972*a**2 + 119592*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/(-15)*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*b + k = 69*b + 95, -4*b + 4*k + 52 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904806 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l)*((-1 - 1 + 5)*(-4 + 0 - 11) - 1 + 1 - 3 - 3 + 2 - 1 + (3 + 1 - 3)*(1 + 0 - 3) + 3 - 6 + 1).\nAnswer: 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/3)*o*o**(-11))\/(o\/o**(-2)*o)**(-2\/45) assuming o is positive.\nAnswer: o**(-382\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 39. Calculate the remainder when 64 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(o - 2*o - o) + 2*o - o - 3*o - 10*o - 11*o - 17*o + (1 - 2 + 2)*(-2*o - 3*o + 6*o).\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let o be n(-2). Let h be 2 + o + 2 + -2. Suppose h*w - 20 = -w. Solve -5*u - 31 = 4*d, -6 = -2*u + w*d + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 4*w, 5*v + 5*w = -35. Suppose -4*r = -5*l + 10 + 15, 5*l + 2*r = 55. What is the remainder when v - (188\/(-10) - 2\/10) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 385*f - 18 - 9 + 2108*f to c + k*f and give k.\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 339*k - 165*k + 2 - 170*k. Let h = -117 + 124. Determine m(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3169683, -3169379, -3169079, -3168783?\nAnswer: -3168491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**5 + 2*m**5 - 3*m**5)*(0 - 1 + 0 + (1 - 1 - 1)*(3 - 1 + 0) - 6 + 0 + 0).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1934 - -1834. Is -104 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8237.48 minus -7?\nAnswer: 8244.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16. Solve -10 = 2*f - j*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2274 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)*y*y*y**(-2\/9)*(y\/y**(2\/5))**(-11\/3)*(((y*y\/(y*y**0))\/y)\/y)**5\/(y**(1\/8)*y*y**(-2\/13)) assuming y is positive.\nAnswer: y**(-28049\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 20*m + 2)*(-2*m**2 + 4*m**2 - m**2).\nAnswer: -20*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1311.\nAnswer: 4\/1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3663 or 1239\/4?\nAnswer: 1239\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.72485 rounded to 2 dps?\nAnswer: 10.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2 - 3*s - 364. Calculate b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-32 + 8 + 4 - (0 + -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 11*h + 9. Calculate the common denominator of h*(-54)\/4*(19 + -16) and 145\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.675388187 rounded to four decimal places?\nAnswer: -0.6754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371902219.\nAnswer: 199, 1069, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 2*i + 9*i - 140 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23531866 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i)\/(i*i**(1\/7)))**(18\/7) assuming i is positive.\nAnswer: i**(-333\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose -51 = -4*w + 61. Calculate the greatest common divisor of w and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 5)*(-1378*s - 2130*s + 865*s) to the form m*s + a and give m.\nAnswer: 2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**4 - 52*l**3 - 380*l**2 - 1108*l - 596. Let a(o) = o**3 + 2*o**2 - 9*o - 1. Let r(j) = 20*a(j) - b(j). Factor r(x).\nAnswer: 4*(x + 1)*(x + 4)**2*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 12. Let t be 3*(-2)\/18*1. Put t, 4, g in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + s**3 + 3*s**2\/2 + s - 1. Let o be w(-2). Let h(a) = 7*a**2 - a. What is the units digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y**2. Let z(o) be the third derivative of -o**4\/6 - 7*o**3\/6 + 5*o**2. Let v be z(-4). Let w(r) = 6 - v + 3 + 2*r. What is w(x(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*z + 6, -6 = 2*k - 0*k + z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + i - 2*i)*(-12 - 11 - 15)*(3 - 1 - 1) in the form f + o*i and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -61. Let w = -13 - -11. What is the common denominator of (-1 - w) + r\/(-8) and -49\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 - 3*r + 4. Let f(n) = -4*n**3 + 22*n**2 - 2*n - 10. What is f(l) + 3*h(l)?\nAnswer: -l**3 + 19*l**2 - 11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 169a (base 13) in base 8?\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -1, 29, 93, 203, 371?\n\"Answer: 2*v**3 - v**2 - 3*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = q + 2*k - 9, -5*k = -2*q + 33. Let s be q\/8 + 12\/8. Let a(y) = -2 - 2*y - 3*y - s + 4*y. Give a(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120886.\nAnswer: 2, 13, 19, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 127037 = -5*z, -25*h + 16*h = -3*z - 381255. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/18*2*1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 900169 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3029)\/5592)\/((-1)\/6). Factor m*s + 15\/4*s**2 + 1\/2.\nAnswer: (3*s + 2)*(5*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/2 + 14. Which is the nearest to j? (a) -1 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -6*t + 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 308274*t**3 - 28977760*t**2 + 680977642*t - 8836.\nAnswer: 2*(t - 47)**2*(154137*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -0 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9*w - 10. Suppose -w*n - 110 = -3*l, -4*l + 2*n = l - 190. What is the common denominator of 137\/12 and -2*47\/l + 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/120 - k**5\/10 - k**4\/12 - k**3 - k**2 - 75. What is m(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18674\/(-6))\/(176\/24 + -4). Let a = y + 936. Calculate the common denominator of a and 4\/97.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*n + 224 = -90*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(4\/2*(-18)\/252)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(1\/3)*z**2*z*z**(-6) assuming z is positive.\nAnswer: z**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 2\/15, -16 in increasing order.\nAnswer: -16, 2\/15, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k. Let l(m) = 4*m**2 + 0*m**2 + 0*m**2. Calculate l(f(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.46 + 69.642. Let d = s - -13.7. Let x = d - -0.024. Round x to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 + 15*d**3\/2 + 51*d**2 + 106*d + 72 = 0.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s**3 - 123*s**3 - 45*s**3.\nAnswer: -132*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110819173.8 rounded to the nearest one million?\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 - 19*d**2 + 25*d**3 - 20*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r*r**14)\/r)*r**(3\/8) assuming r is positive.\nAnswer: r**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 2\/3 (c) 10 (d) 1330 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**(-1\/3))\/q))**(-2\/63)*(q**1)**(-1\/76)*((q\/q**0)**(-1))**(3\/49) assuming q is positive.\nAnswer: q**(-8543\/100548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 1, x: 2, l: 1, z: 2}. What is prob of sequence xlcv?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/50890?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 234080723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35063.\nAnswer: 7, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*a - 22 = 0, 5*n - 2*a = -4*a + 17. Let k = -39 + 49. Suppose k*y = n*y. Solve y*t + 2*t = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2235\/613 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001001 + 10?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 399, 797, 1191, 1581, 1967, 2349?\n\"Answer: -2*i**2 + 404*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 262884 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Let y(g) = 2*g**2 + 4*g. Let t(s) = -4*o(s) - 2*y(s). What is f in t(f) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181977 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-58)\/(-290))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -0.2, 0.0185?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 14 + 11 - 32)*(0*k**4 - 4*k**4 + 2*k**4) as i*k**4 + o + j*k**3 + g*k**2 + z*k and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4*u + 3. Let m(i) = -i**2 + 3*i + 2. Suppose 5*j + 87*j = -460. Calculate j*m(s) + 4*v(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z**5 - 36*z**4 - 212*z**3 - 132*z**2 + 28*z + 24 = 0 for z.\nAnswer: -1, -1\/2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 7}. What is prob of picking 4 r?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4356 and 1536435252.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11298308 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4, 233, -3 in increasing order.\nAnswer: -3, 2\/9, 4, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -9*q**7\/7 - 257*q**6\/5 + 5981*q**5\/30 - 4823*q**4\/18 + 1360*q**3\/9 - 124*q**2\/3 - 150*q + 2. Find n, given that g(n) = 0.\nAnswer: -31, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7724 - 7720. Suppose 14 - 160 = -5*u + q, 1 = -q. Calculate the remainder when u is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 - -0.16. Let l = -2 + 2.1. What is the third biggest value in i, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10247\/30 + -681\/2. Let t(d) be the second derivative of u*d**6 + 2\/5*d**5 + 5*d + 0 - 11\/3*d**3 - 2*d**2 + 1\/3*d**7 - 7\/3*d**4. Factor t(r).\nAnswer: 2*(r - 1)*(r + 1)**3*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334.58 hours to nanoseconds.\nAnswer: 4804488000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/12 - (2 + 39\/(-18)). Let z = b + 30. Suppose z = -4*j + 499. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f + 151. Give a(0).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/1650*-20*4)\/(1\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74, -77, -80?\n\"Answer: -3*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:25 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293398 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -822 - -1333. What are the prime factors of q?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**7\/357 + 139*o**6\/85 - 837*o**5\/170 + 419*o**4\/102 + 11*o + 41. What is r in u(r) = 0?\nAnswer: -419, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27336 and 60792.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*h**2 - 3*b**3*h - 401*b**3 - 5*b**2*h + 2488*b*h**2 - 7*b - 3650*h**2 + 3*h + 2 wrt h.\nAnswer: 2*b**3 + 4976*b - 7300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 6, 1\/2, 1\/5 in descending order.\nAnswer: 6, 1\/2, 1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - k = -2*y - 2, 5*y = -5*k + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -19 + 33 - 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/4 - 228364*z + 52150116496 = 0. What is z?\nAnswer: 456728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -30*((-72)\/(-40) - (0 + -3)). Let b be (v\/54)\/((-6)\/(-9)). Which is smaller: b or -14\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0.08. Let i = 0.82 - -0.18. Which is the nearest to h? (a) i (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-514)\/(-195) - 3 - 292\/(-2190).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/(6\/(-18)). Let i be 11 + g\/2 - 1. Suppose -5*j + 14 + 9 = 2*h, 2*h - i = 0. Solve -2*a = -4*o + 3*a + 45, -j*o = a - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 14*w**3 - 40*w**3 - 96*w**2 + 47*w**2 + 50*w**2 + 39*w as a*w + f*w**2 + r + i*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46194*g**3 + 47*g**2 - 3*g + 11599.\nAnswer: 277164*g + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 30 (c) 26 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129235644.\nAnswer: 2, 3, 19, 188941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3956*z + 3923*z - 2772 = 0 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 61885 = -61807 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*w - 0*w, -3*w - 34 = -5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 5) to base 8\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/120*(52\/(-6) - -7). Let y(o) be the second derivative of 1\/15*o**2 - u*o**4 + o + 0 + 4\/45*o**3. Factor y(q).\nAnswer: -2*(q - 1)*(5*q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a912f (base 16) to base 9.\nAnswer: -1264864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 17*a + 5*a + 11*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {m: 1, j: 1, f: 2, u: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1379271, -1379270, -1379269, -1379268, -1379267?\n\"Answer: q - 1379272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(76)*2 - (1 + sqrt(76))*4).\nAnswer: -3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3113011 + 2?\nAnswer: -3113005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let v(u) be the third derivative of -5*u**5\/6 + 2*u**3\/3 - 5*u**2 + 216. Give v(c(d)).\nAnswer: -200*d**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -19*r**2 - 2*r. Let w(a) = 3 + 261*a - 13*a - 20*a**2 - 3 - 250*a. Give -3*b(c) + 2*w(c).\nAnswer: 17*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -3 + 2 - 3. Let t be 1\/((-2)\/4) + 8. Let q = t + p. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 - 11*o + 14. Let n be u(6). Let f = 35 + n. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) 2 (c) -1.44 (d) -2\/59 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + c = -0*c - 5, -c = -d + 5. Sort -4, 5, d in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -13. Suppose -4*n = r*s - 68, 2*s - 4*n = 20 + 52. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 2\/1 - 3. Let z be o + 5\/(1 - 0). Suppose z*j = -0*j + 105. What is the greatest common factor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(66)\/(sqrt(44)\/sqrt(4)))\/sqrt(2) - -6*(2 + sqrt(27))).\nAnswer: 15 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57 - -0.13?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*t - 12, -3*t + 0*t - 4*m = -16. Let x be 0 - (-1 + 1 - -1). Is x > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/18 + (-2)\/(-6). Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56563474, 56563472, 56563468, 56563462, 56563454, 56563444, 56563432?\n\"Answer: -x**2 + x + 56563474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15983\/4 - 3992. Factor -3*r - 9\/2*r**2 - 3\/4*r**4 + 6 + o*r**3.\nAnswer: -3*(r - 2)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001000 - -3112100?\nAnswer: 2111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 3*m - m**3 - 3*m + (7 - 7 - 13*m**2)*(-2*m**2 + 2*m**2 + 2*m**2) + 2*m**4 - m**4 + 4*m**4 as i*m**3 + q*m**2 + y + r*m + s*m**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -21?\nAnswer: -23\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t - 4\/5*t**4 + 4\/5*t**3 + 0*t**2 + 0.\nAnswer: -4*t**3*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1405 and 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 233 = s. Let k = s + 327. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.5 + 31.5. Let k = 1 + -1.3. What is the second smallest value in k, l, 0, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-1 + 4)) + 3 - (76 - (-6 + 2)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3 - 1540*l**2 - 3100*l = 0.\nAnswer: -2, 0, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5496, 10998, 16498, 21996, 27492, 32986?\nAnswer: 38478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15*85\/102*((-16)\/1)\/((-32)\/16)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 5*t + 1. Let k be o(-5). Let w = 4 - k. Factor -1\/2*h**2 + 0 + 0*h + 1\/4*h**w.\nAnswer: h**2*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -12692 - 7638. Let j = z - 2415. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*p**3 - p**2 - 69 - 65 - 40*p**3 - 2*p + 134 as g + i*p + j*p**2 + x*p**3 and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 569 - 477. Suppose -4*g + 69 = 7*q - 4*q, 4*q - h = g. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 5*k + 48. What is the tens digit of t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 3*g - 4 + 5*g**2 + 2*g**3 - 5*g + g. Let c be i(3). What is the common denominator of (c\/(-4) + 0)\/(-4) and -53\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-52016)\/6*((1539\/(-18))\/19)\/6 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240966580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002789 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**3 - 7*m**3 - 22*m**4 - 101*m - 14 + 14 wrt m?\nAnswer: -264*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 13. Let k be h(0). Let g be (-4)\/12 + k\/(-3). Solve 2*l - 2 = g*x, -2*l = l + 5*x + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 - 6*s**2 - 16*s**2 - 15*s**2 + 77*s**2 - 17*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 + 3*w - w - 2*w**2. Let l(u) = 2*u**2. What is a(l(h))?\nAnswer: 40*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhhyyhhh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 59*u**2 - 13*u - 7. Let p be v(4). Suppose 81 + p = 7*s. Is 46 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = 4. Let a = -4.81 + 2.81. What is the third smallest value in 17, a, o?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 9. Let q be k(5). Factor 2*u**2 - q*u**2 - 12 - 8*u + 4.\nAnswer: -2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = v + 9, -9*v = -11*v + 5*w + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7b2 (base 13) to base 12\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312.512 hours to days.\nAnswer: 54.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3266?\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-3)*j)))**(10\/3)\/((j*(j\/j**(7\/4))\/j)\/j**(11\/5)))**(-29\/3) assuming j is positive.\nAnswer: j**(6467\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -723 + 5060\/7. Let v = 0.44 + -0.04. Which is the nearest to 2? (a) m (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -184*y**2 - 3*y - 2. Let a be r(-1). Is -183 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1704*k + 132 = -1700*k + 4*w, -w + 114 = 4*k. Solve 17*q - 10 + k = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-3*sqrt(6)*1).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(10\/(-24) - (-30)\/40). Let v be (-3)\/(9\/3) - 1. Which is the nearest to 1? (a) r (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(56))\/sqrt(7) + (1*sqrt(72))**2.\nAnswer: -sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54634759 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97221.\nAnswer: 3, 23, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9364 or -290312\/31?\nAnswer: -9364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12000)\/10800)\/((-40)\/28).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-51)\/(-21))\/((-2904)\/168 + 17). Which is the third smallest value? (a) o (b) 329 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*k**4 + 447*k**3 + 201*k**2 - 447*k + 18 = 0.\nAnswer: -1, 3\/73, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -52100143 (base 7) in base 16?\nAnswer: -42adec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(0 - x + 0) + (-7 - 3 + 5)*(0*x + x - 2*x) - 3 + 3 - x to the form z*x + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/10 - 1501*m\/5 - 2253001\/10 = 0.\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -2*h, -h - d + 0 + 1 = 0. Let u be -1 + 3 - -37 - -1. Suppose c - u = -3*c. What is the least common multiple of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(8\/3)*((r\/(r\/r**8)*r)\/r)\/r)\/(r**(-31)*r*r\/r**6*r) assuming r is positive.\nAnswer: r**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 13. Let i be h(-10). Suppose i*q = q + 10. Let k be (-1)\/q - 44\/(-20). Solve -k*r - f = 4*f + 1, 3*f = r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, o: 6, x: 1, v: 6}. Give prob of picking 2 r and 2 v.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 135 = -5*x, -4*r - 17 + 84 = -3*x. Let y be ((-2)\/3 - x\/15)\/1. Let i = -0.4 + 0.3. Which is the closest to i? (a) -0.5 (b) -2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1 - 2*s**2 - s**2 + s + 2*s**2. Let g(v) = 9*v**2 - 11*v + 11. Let o be (1 - 4\/2) + 3948\/(-188). Calculate o*z(c) - 2*g(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 3*x**3\/2 - 95*x - 38. Let q(n) be the first derivative of w(n). Let p(f) = f + f + f + 0. What is q(p(v))?\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 10*k - 30. Let x be v(15). Is 460\/(-15)*x\/(-10) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.28891 millilitres?\nAnswer: 0.08428891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/6, -1\/2, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054911321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2784\/(-72))\/(2\/(-3)). Let d = o - 54. Solve -d*k = -k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2597 = 10*j - 2578, -4*k = -j + 76 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -181*-1\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + j**5 + j**2 - 6*j**2 + ((3*j - 3*j - j)*(-2*j**2 - 2*j + 2*j) + 3 - 6*j**3 - 3 - 2*j**3 - 23*j + 23*j)*(j**2 + 2 - 2).\nAnswer: -5*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) - (sqrt(13) - (sqrt(13) + sqrt(52)*6 - sqrt(13))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 6*y**2 - 7*y + 3. Let m be z(9). Let g be 1286\/7 + (-1)\/7. Let s = m - g. Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2.7.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 0*b**3 + 3*b**3 + (-b + 0*b + 0*b)*(4*b + 2*b**2 - 4*b) - 11*b**3 - 9*b**2 + 9*b**2 - b**3 + 0*b**3 + 2*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9753 - 649 = 2*t - b, -2*b = -t + 4555. Calculate the remainder when t is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 4*v + 4. Let q(y) = 7*y**2 - 9*y + 9. Suppose 3*u = -12 - 15. Let b(h) = 4*h**2 + 5*h - 2. Let x be b(-2). Calculate u*d(f) + x*q(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 43 - 5*a + 46. Let d(x) = -x**2 - 2*x + 4. Let q be d(-4). Let o be c(q). Solve -3 = -n - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 1. Suppose -14*v = -12*v - 2522. Let r(n) = -v*n + 0 + 3 - 3 + 1266*n. Calculate m(r(b)).\nAnswer: -25*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f - 12. Let q be d(-3). Solve q*y - 136 + 148 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -191\/7 - -27. What is the nearest to -0.1 in v, 4, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 - -9486 - -1*7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 0 + 1 + n. Let m be f(-1). Let x be 3 + 20\/(-10) + -1. Solve b + x + m = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s - 20. Let m(g) = -7*g**2 - 2*g + 8. Let l be m(s). Let q = -88 - l. What are the prime factors of q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and -21223.\nAnswer: -21223.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113873 times 0.2?\nAnswer: 22774.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.1. Let v = 0.384 + -0.484. Which is the nearest to u? (a) 0.6 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 53*m**5\/60 - 5*m**4\/24 - m**3\/2 + 9*m**2. Let q be c(-4). Suppose 278 = 9*y - q. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -0.2, 5, -3\/4, -4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13*(-2)\/(-4)*-2. Let y = d + 18. Suppose 3*j = -y*m + 217, 4*m = m - 3. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*o = 6, -5*y + 0*o - 3*o = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013018 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -15974540 to the nearest ten thousand.\nAnswer: -15970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41463811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.8 + 22.2. Which is the second smallest value? (a) 0 (b) -4 (c) -2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 5*i + 119512. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347140974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/10 + a**4\/6 - a**3\/2 + 2*a**2 - 10*a. What is p(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 108, 203, 300, 399?\n\"Answer: g**2 + 90*g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 1 = 0. Let y = -12 - -102. What is the tens digit of 0 + (y\/3 - g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.3768.\nAnswer: -0.3768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*d + 23, 4*x - 2 = 5*d + 62 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (855\/(-342))\/(10\/(-56)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1, -2\/13, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a1a47d - -1?\nAnswer: 1a1a480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503.\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4605 and 6140.\nAnswer: 18420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 26530.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, -k + 0*k + 4*o = -6. Suppose 0 = -2*i + 4*j + 20 - k, -3*j - 6 = 0. Suppose 4*m**3 + 0*m - m - 3*m**i = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 times -291.6\nAnswer: -42865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + -2. Let s be -6*(45\/t)\/3. Put 4, 1, -3, s in decreasing order.\nAnswer: s, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + 3*r + 0*r**4 + 0*r**2 - r**2 - r**4 to w + g*r**3 + q*r**4 + b*r + m*r**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.73 + 0.69. Let u = 34.76 - g. Let q = u - 38. Round q to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0114 + -1.9886. What is the second smallest value in -3, 4\/9, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c + 3*c. Suppose -2*q = c - 20. Let n = -144 + 144. Solve n = -2*k - 0*k + q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m - 14*m = 379 + 26 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 0 = -12. Solve -3*c - n*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Let t = y + 8. Let k = 5.9967 - t. What is k rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10311394.665 - 0.01.\nAnswer: -10311394.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -24*v**3 + 7*v**3 - v**2 + 16*v**3. Let o(n) = 26*n**3 - 6*n**2 + 11*n. Let j(s) = o(s) - 6*y(s). Find the second derivative of j(h) wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*p - p. Let b = p + 9. Calculate the remainder when -2 - (3 - 5 - 31) is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*v**6 - 68591*v**4 - 3*v**3 + 8965499*v**2 - 2*v.\nAnswer: 3480*v**3 - 1646184*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:33 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*a - 69 - 61 + 51 + 1172*a.\nAnswer: 1510*a - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3113656 and 428246?\nAnswer: 563571736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/4 - -2)*6. Let l(h) = 4*h**2 + 3*h - 3. Let p be l(a). Calculate the greatest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3702 or 3705?\nAnswer: 3705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*p = 92*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(605) + (sqrt(605) + -1 + sqrt(605))*-1)**2.\nAnswer: -606 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.90711 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1452, 5680, 12684, 22464, 35020, 50352, 68460?\n\"Answer: 1388*v**2 + 64*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 - 30*a**4 - 51*a**3 - 24*a**2 = 0. What is a?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23076 is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -61*i + 42. Let u(v) = 54*v - 36. Let m(g) = 6*h(g) + 7*u(g). Let q(x) = -146*x. Give q(m(w)).\nAnswer: -1752*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -34*t**6\/15 + t**4\/6 - t**3 - 11*t**2\/2 - t + 1985. Find the second derivative of h(w) wrt w.\nAnswer: -816*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*s = 107*s + 111*s + 102. Let j = -1 - -4. Suppose 0 = 2*b - 5*a - 11, b - 27 = -2*b - j*a. Solve 2*h - s*h = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 13) in base 12?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 390487, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o - 385*o**3.\nAnswer: -385*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (4 + 1344\/(-1)). Let v be (-3)\/21 - (-11896)\/y. Let g = v + 1\/24. Calculate the common denominator of 69\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(44) - (sqrt(44) - (sqrt(176)\/sqrt(4)*1 + sqrt(44) - sqrt(44))))\/(sqrt(24)\/sqrt(24)))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110981485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 0*n**3 - 25*n**2 + 0*n**3 + 26*n**2 + 4*n**4 as o*n + s*n**2 + z*n**4 + v*n**3 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/176)\/((-198)\/(-176))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2393 - 2394 + 621*v**3 + 4787 + 7*v**2.\nAnswer: 621*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 9*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4) + 1\/(-2))*5. Suppose 0 = -5*r + b, -5*w + 4*r = -0*r - 31. Suppose -16 = 3*v - w*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2419830 by -322.\nAnswer: 7515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1019402538*b**2*p - 68417*b*p + 1956*p wrt b.\nAnswer: 2038805076*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000522 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/6 - 2*f**2 + f. Suppose 2 + 4 = 2*n. Suppose 0*v = v + n. Calculate w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c**2 + 27\/4*c**3 + 63*c - 12 = 0. Calculate c.\nAnswer: 2\/9, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:34 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 21*c**2 + 56*c + 44. Let j be u(-18). Calculate the common denominator of 51\/10 and (-2)\/j - 900\/(-1025).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -34, -37, -40, -43, -46?\n\"Answer: -3*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:42 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*130\/78?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26307a (base 11) in base 7?\nAnswer: 3343036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 28353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -477.02 - -0.2.\nAnswer: -476.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -83*r. Let t(m) be the first derivative of -m**2 - 48. Calculate t(o(h)).\nAnswer: 166*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 3 + -11 + 4 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h**2*h)*h*h))\/h))\/(h**(-4\/9)*h))**(3\/8) assuming h is positive.\nAnswer: h**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466909111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*v + 10*v**2 - 8*v**2 + v - 10*v**2 wrt v?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g + 5. Let d be f(3). Let j be (4\/6)\/(4\/(24\/(-5))). What is the second smallest value in 2, d, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let f = -2771.63 + 2766.63. Which is the biggest value? (a) -0.03 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvtv. Give prob of picking 1 t and 3 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**9\/3024 + j**6\/45 + 4*j**3\/3 - 7. Let a(x) be the third derivative of f(x). Find the third derivative of a(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8)*4)\/(8\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o - 11*o - 10*o - 12*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465 * 4.\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12034005.\nAnswer: 3, 5, 103, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 221303414 (base 5) to base 16\nAnswer: eb1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -546 in 0.5, -5, 13\/3, 0.4, -2\/13, -1.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-30)\/(v**(-2\/21)\/(v**(-5\/4)\/v)))**(-1\/11) assuming v is positive.\nAnswer: v**(-1079\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2529, 4552, 6571, 8586, 10597, 12604, 14607?\nAnswer: 16606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqmmqqimmqqqqmqkmq. What is prob of picking 1 m and 1 i?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 - 8534*k - 65641. Give h(-1059).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1480, 2342, 3282, 4294, 5372, 6510?\nAnswer: 7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21*3)\/((-1)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18973232, 37946464, 56919696?\n\"Answer: 18973232*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 2. Let o be d(-1). Solve o*r + 23 = -2*r - 3*l, l - 24 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.404, -4, -3321.5?\nAnswer: -0.404","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/18*(-105)\/(-14). Suppose -v*d - 4*d + 58 = 0. Solve -4*x = 2*f, d*f + 0*x + 16 = 4*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -747 + 1076. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**8\/140 + 2*l**4\/3 - l**3\/3 - 15*l. Let v(o) be the second derivative of m(o). Differentiate v(t) wrt t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3410*c**2 - 5340*c.\nAnswer: 6820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - 22*r - 81. Let f be h(-5). Sort -13, 3, -1, f, 1.\nAnswer: -13, -1, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-18 - -34) - (-9 + 2 - -31).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -0.5, -0.04, 2556 in decreasing order.\nAnswer: 2556, -0.04, -0.5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxvvvlxlvxvxxvvvv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -8\/1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 25*g**2 + 3*g - 72. Let o be n(25). Solve 2*z = o - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 15 + 5. Suppose s - 10 = 2*d, -u = 4*d + 11. Suppose -5*t + 27 = -q, -2*t + t = -s*q. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6110452 rounded to the nearest 1000?\nAnswer: -6110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 50*t**2 + 7*t. Determine a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5)*(2 - 7). Let w(x) = 7*x + 5. Let j be w(d). Suppose -4*g + 10*g - 18 = 0. Calculate the highest common factor of j and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15123 - -23726. Let x = s - -1694. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58151595.\nAnswer: 3, 5, 3876773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of -4*2\/((-8)\/111)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 6 - 2)*(-g**2 - 4*g**2 - 6*g**2) + (-g - 3*g - g)*(0*g + 5*g - g))*(g**2 + 3*g**2 + 0*g**2).\nAnswer: -212*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 444 - 511.5. Round p to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-1) + 1 + 7. Suppose -4*p + 12 - w = 0. Suppose 5*l - 21 = p*v + 4, -5*l = 3*v. Solve f = -0*o - 4*o - 25, l*o = 3*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 984*s**2 - 60516*s = 0?\nAnswer: 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*h = -297*h + 1004304. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2 + 6974696*p - 6080798036552 = 0?\nAnswer: 1743674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 72*t**2 + 76*t - 322. Determine b(73).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27062 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5688 by 4.\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*x - 30 = 0, 0 = -4*k - 0*k + 2*x + 36. Solve -k = s - 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 9 (b) 0.6 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -3768?\nAnswer: 1130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 7*f - 5. Let t be r(-1). Solve -2*v + 5*v - 12 = 0, 0 = -2*x + t*v - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -5 (c) 0.36 (d) -1\/7 (e) -2\/5 (f) 2 (g) -12.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1110\/10741?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*p - 13601, -13609 = -5*q - 5*p + 3*p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13946981 to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -170396.721 rounded to the nearest ten?\nAnswer: -170400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -1, -11, 1, 23, 2 in decreasing order.\nAnswer: 23, 2, 1, -1, -11, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9429179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 5) to base 16\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*i + 65*i - 1137 - 114 = -231 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 11 - -12 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23bc0b1 - 5?\nAnswer: -23bc0b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 18. What is the units digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*n - 1256, 5*n + 128 = -3*p + 879. Suppose -4*l = -2*l + p. Let d be 6\/10 + l\/35. Let c(b) = -b**3 - 3*b**2 - b. Determine c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10) + (-35)\/(-10). Let d be ((-8)\/(-6))\/((-6)\/(-9)). What is the highest common factor of p and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/15 + 1228*p\/15 + 1222\/5 = 0.\nAnswer: -611, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 712 - 148 - 135 - 132 - 134 - 163.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-357)\/476)\/((-1*2\/8)\/(58\/2697)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p, -i + 2*p = 6 + 7. Let v = i - -12. Solve q + 3*x = -7, -7*x + v*x - 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**6 - 2*w**5 + 3*w**4 + 4*w**3 + 54*w**2 - 2. Let d(l) = l**5 - 2*l**3 + 1. Let u(v) = 2*d(v) + q(v). What is the third derivative of u(f) wrt f?\nAnswer: 960*f**3 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4143111 + -3?\nAnswer: -4143114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173539 is divided by 7535?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 479372 and 6216666.\nAnswer: 982233228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1183360*q + 1106457 wrt q.\nAnswer: 1183360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 51. Calculate the remainder when 103 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z + 106 = -109. Let t = 3107\/15 - 207. Which is the third smallest value? (a) t (b) z (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttn. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 30*f**2 + 182*f + 14. Let w be k(-6). Solve -w*r - 2*q = 6, 11*q = 14*q - 9 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136926181 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2. Let q(u) = -170*u - 286. Give j(q(l)).\nAnswer: 86700*l**2 + 291720*l + 245388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7208 + 7207.9994133. What is x rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = 2. Let z = -4 - -4. Suppose z = 4*o - o. Solve 3*j = -0*i - 2*i - b, -j - 4*i - 1 = o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109734481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578 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: Rearrange (-4*z**3 + 3*z**3 + 3*z**3)*(-66 - 43 + 28) + 3*z - 4*z**3 - 3*z to the form y*z**3 + q + o*z**2 + r*z and give y.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 140, 207, 270, 329?\n\"Answer: -2*s**2 + 77*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 - 275*m\/3 - 40984\/9.\nAnswer: (m - 872)*(m + 47)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23966084 divided by -288748\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*v**3 - 5*v**2 - 2 - 8*v**2 + 15*v**2 + 4 as f*v**3 + l*v**2 + d + o*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2. Let s(a) = -638*a - 1. Give s(z(k)).\nAnswer: 2552*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42119 is divided by 312.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:03 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*s + 3489, j - 272 = 4*s + 433. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/80)\/((-2)\/8). Let v = -2 - -1.5. Let k = -26 + 21. What is the closest to k in j, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) 4 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/77 + -144\/385. Let i = 45 - 44.9. What is the closest to 0 in i, q, -1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100768 divided by -50384.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -72*r. Let u(x) = -678*x. What is i(u(l))?\nAnswer: 48816*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, u: 1, f: 3}. Give prob of picking 1 f and 1 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -67. Let f be 7\/(-1) + (-828)\/(-84). Factor b*x - f*x**2 - 8\/7.\nAnswer: -4*(x - 1)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 8}. What is prob of picking 2 j and 1 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 1 - (2 - 340)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431696687?\nAnswer: 59, 7316893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -576400 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1311002121333?\nAnswer: 1311002121331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/7 - (-10)\/(-35). Suppose 1232 = 21*x + x. Suppose 5*l - i = 3*i + x, -i - 36 = -4*l. Solve l*n - 20 = d*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r**(-6))\/((r*r**(-5))\/r**(-2\/21))*(r*r**7*((r**0\/r)\/r)\/r)\/(r**(-5\/3)\/r**(2\/5)) assuming r is positive.\nAnswer: r**(-106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 574096.4 nanometers?\nAnswer: 0.0005740964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 127740*z - 510896.\nAnswer: -4*(z + 4)*(z + 31931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 485cd (base 16) to base 12\nAnswer: 123639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97578)\/(-957015))\/(26\/10)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s - 37. Let f be m(6). Let u(r) = -11*r**2 + 4*r + 5. Let k(c) = -c**2 + c + 1. Give f*u(q) + 4*k(q).\nAnswer: 7*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43983 divided by 44?\nAnswer: -43983\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f. Let d(v) be the second derivative of 7*v**3\/6 + 47*v. Let l(h) = -3*d(h) - 2*k(h). Let w(u) = -u. What is l(g) - 5*w(g)?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5995, -5023, -4055, -3091?\n\"Answer: -2*a**2 + 978*a - 6971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(8\/5)\/m)\/m)\/(m\/(m\/(m**28\/m))) assuming m is positive.\nAnswer: m**(-137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3024 and 21?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 41.7. Let m = 64.25 + -63. Let h = m - l. Round h to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -5, -14, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4606)\/20 - (-23)\/(-115)) + 9\/6. Is -229 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + sqrt(1872) - (1 + (sqrt(13) - (sqrt(13) + sqrt(13)*2))))**2 + 1.\nAnswer: 20*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - ((2 + sqrt(3)*1)**2 + sqrt(3)) - sqrt(3) - (1*sqrt(21))\/sqrt(7).\nAnswer: -6*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*v - 14, 2*v + 2*v - 19 = 5*g. Suppose 0 = -63*x - 30 - 75 + 42. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/2 + 7*x**3 - 33*x**2\/2 - 56*x - 32 = 0. What is x?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/499, 8521 in descending order.\nAnswer: 8521, 0.3, 2\/499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3\/3 + 32*x + 1. Suppose 2*y = y. Let p be w(y). Solve p = 3*n + 2*n + 3*f, 5*n = 5*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 1432\/7 - 5008\/7*a.\nAnswer: -2*(a + 358)*(7*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 149549?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6940486 and -19\/17846964?\nAnswer: 124928748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012011120022 (base 3) in base 12?\nAnswer: -8b5098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + ((-8)\/20)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 422.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-484782)\/(-50733)*18\/(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/31)*j)\/j*(j*((((j\/j**(-4\/5))\/j)\/j)\/j)\/j*j)\/j)\/(j**9\/(j*(j*(j**(-2\/13)*j)\/j*j)\/j*j)) assuming j is positive.\nAnswer: j**(-12673\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 777931 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w**3 - 13*w**2 + 14*w**2 - w**3 - 3 - 26*w + 23*w to o + z*w**2 + h*w + t*w**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 0.4, -1, -22\/7 in descending order.\nAnswer: 0.4, 0.2, -1, -22\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auarruuru. Give prob of sequence raar.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 246*h - 1. Suppose 3*u + 5*q = 15, 2*u + q - 10 = 3*q. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, -8, -32, -66, -110, -164?\n\"Answer: -5*j**2 + j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -61.6. What is the third biggest value in 5, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/3)*i*i)**(-43)*((i**(-2\/11)*i)\/i*i)\/i**2*i**(2\/7)\/(i**(-2)\/i)*(i**(1\/3))**(-16) assuming i is positive.\nAnswer: i**(-12389\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*o = 560*o - 49 - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 14*w + 16. Determine h(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.35 or -632?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -57 - 119. Let c be 37\/2 + (-22)\/z. What is the units digit of (-6)\/(-4)*732\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.5. Let l = 30 - 28.5. Let a = -3.5 + l. What is the closest to -1\/3 in q, -2\/17, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-8) - (-12)\/(-18) - -4. Let o = -75 + 76. Which is the closest to 0? (a) o (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 = -16*t + 780. Calculate the remainder when 453 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/20 and -139\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4594 - 4588.573. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + j - 2, 9*i + 2*j = 5*i + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffnb when four letters picked without replacement from fnxxxxbbzbxfxf.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p + 3. Let w be q(0). Let j be -2 + 19 + -6 + w. Let m(y) = -y - 6. Let s be m(-11). Solve 0 = -s*r + j - 39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 5. Let k be c(2). Let i be (1 - 0)\/(-2 - k). Are -1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -t, 140*t + 3 = -3*v + 136*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -4) + (-68)\/24. Let h be (-5)\/5*(0 + 1). Is f at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 - 3*b - 2. Suppose -1 = -6*g - 19. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 13 - 26)*(3*c + 0*c - 2*c)*(-7 + 35 + 5).\nAnswer: 363*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -179237 in descending order.\nAnswer: 3, -5, -179237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/110049?\nAnswer: 1\/110049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194*l**2 - 555 with respect to l.\nAnswer: 388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*a + 6*a. Suppose -a = -5*d - 0*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 5\/3 (c) -5 (d) -0.9 (e) 88 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 131593*p - 921102 = 0. What is p?\nAnswer: 7, 131586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -373 times 179.162\nAnswer: -66827.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2271*b - 6667. Determine y(3).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -94, -197, -318, -445, -566, -669?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*t + 1443*t**3 + 2*t + 9388*t**3 + 0.\nAnswer: 10831*t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -34*-1*17\/2. Suppose -5*k + l = -4*k. Suppose f + 86 = k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 133 = -90*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61292, -122581, -183872, -245165, -306460, -367757, -429056?\nAnswer: -490357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/(39\/78)*(-3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:22 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 3349 = -245*s + 69*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 59*q - 56*q = 51480, 4*q + 4324 = 2*l. Calculate the greatest common divisor of 87 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (4 - 16)) + (30 + -32 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 = 12, 0 = 4*a + 5*b - 23. Let n = -0.2 - -0.1. Let p = n + -4.9. What is the nearest to -1\/3 in 3, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 653740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*q + u, -5*u + 0 = 3*q - 1. Suppose -7*p - 1233000 = q*p. Round p to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 150 + -5b9e?\nAnswer: -5a4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 39*n = 15309 + 432. Calculate the remainder when n is divided by 153.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03784 - -0.19194. Round w to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, 6, -28, 3, -7, -5 in ascending order.\nAnswer: -28, -23, -7, -5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*g**3 - 669*g**3 - 675*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*s + 47, 42 = 3*s + 4*o + 138. Let x be (1 - -165)*4*7\/s. Is -1\/2 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122131302 (base 4) in base 8?\nAnswer: -323562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 1, z: 2, h: 7, l: 6}. Give prob of picking 2 z, 1 h, and 1 c.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3009 + 3009 + 16*h)*(-10 + 10 - 4*h) to the form l*h + q*h**2 + s and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2\/12 - (-9348)\/72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27716 and -1\/283 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*u - 32, -3*b + 2*u = -u + 24. Let p = 9 + b. Let f be (-4399999)\/(-4) + p\/4. What is f rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6440 divided by 6440?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 7, 4381469, 5, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 82*i + 159. What is the hundreds digit of v(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2)\/g)\/((g\/(g*g*g\/(g**(3\/8)\/g)*g))\/g))**(13\/6) assuming g is positive.\nAnswer: g**(91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -179b (base 14) in base 13?\nAnswer: -1c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 1, 8, -2 in descending order.\nAnswer: 8, 7, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, b: 7, a: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2, -3, 5\/2, -39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, -3, 11, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 138092.3736 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -15*g - 124. Determine d(-27).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -19*z + 9. Let h be w(-4). Let s = h + -28. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26301 + -2010665.85.\nAnswer: -1984364.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2) + (-5 - -4). Is v less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7914 is divided by 6\/12*172 + -20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96974 is divided by 32323.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 - 11482*t - 802515\/2 = 0 for t.\nAnswer: -22929, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1000 and -19\/75179250.\nAnswer: 300717000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -v - 2*v + 18, 36 = -4*s + 2*v. Let q = s + 12. Suppose 2*d - 1 = -0*d - 3*i, q = -i. Solve d*g - 4*g = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28)*(-12 - 2). What is the greatest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313101212 (base 5) to base 10\nAnswer: 1300182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.83, -976\/5, 1, 0, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojojzojjjjloclcolhz. Give prob of picking 1 h and 1 c.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2 - i**3 + 0*i**3 + 1 + 7*i**2 + i.\nAnswer: -(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511479856 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: Let y = -244 - -322. Calculate the greatest common divisor of y and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 4*f**2 - 16*f + 2. Suppose -5*r = -62 + 22. Calculate the remainder when v(r) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 18\/(-8))*(336\/18 + -12). Solve 5*l = d*w + 10, w + 8*l = 4*l + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*n - 79*n - 111*n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + 122\/((-4636)\/3230)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 45.986. Let g = -1.986 - s. Which is the closest to 1? (a) -3\/2 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by ((-29304)\/(-48))\/37 + 3\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-94)\/(-4))\/(30\/(-4)). Let x = -3 - z. Let f = -0.42 + 0.02. Sort -0.3, f, x.\nAnswer: f, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 3, o: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1191*g**3 + 4*g**2 + 60*g wrt g?\nAnswer: 7146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 3, j: 5, u: 2, d: 1, l: 1}. Give prob of sequence duk.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 0)*(-17)\/(-1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046710 divided by -665?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - b33?\nAnswer: -b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + a**2 - 52*a + 45*a. Suppose -7 - 7 = 2*j. Let m(l) = 2*l**2 - 5*l. Give j*m(g) + 5*y(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w - 134. Calculate g(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 25*z - 6. Let b be w(4). Let g = -78 + b. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (1 - 0)) + (40 + -3 - -17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147218650 a multiple of 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.493471 rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 42. What are the prime factors of g(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12765, -51033, -114809, -204093, -318885, -459185?\nAnswer: -624993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10880, 11003, 11186, 11423, 11708, 12035?\nAnswer: 12398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5730547 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*m**2*y + i*m*y**3 - 59*i*y**3 - 5*i*y**2 - 2*m**2*y**3 + 2*m*y wrt m?\nAnswer: -2*i*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfwf when four letters picked without replacement from {w: 2, f: 5, q: 2, r: 4}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + r + 0)*(4 + 1 - 3) + (-21*r + 7*r + 3*r)*(3 + 0 - 1 + (1 + 0 - 2)*(-2 + 3 + 0) - 1 - 3 + 2).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 + 4185389*u**2\/2 - 3139045*u\/2 - 523174 = 0.\nAnswer: -1046348, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 - -29.026. Let v = t - 33.7. Let b = -0.3 + v. What is the second smallest value in b, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1074 and 22?\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*b + 445 = -162*b. Let t = 259 + b. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*q - 72, -5*q + 5*v = 84 + 96. Let p = -6 + -4. What are the prime factors of (-10)\/(-4)*q\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 l, and 1 q when four letters picked without replacement from qvqqlqfqvclvbcc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -696, -709, -722, -735, -748?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3)*(-15*d - 174 + 174)*(-4 + 4 - 2) to the form b + h*d and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 5*o + 60. Let n be o\/(-30) + (-28)\/5. Let v(x) = x**3 + 5*x**2 - 6*x + 7. Calculate the remainder when 27 is divided by v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j - 5. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:51 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14965 or -14964?\nAnswer: -14965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 4.998042?\nAnswer: 14.994126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - m. Let v(k) be the third derivative of k**6\/120 + 2*k**5\/15 + k**4\/4 - k**3\/2 + 2*k**2. Let z(j) = 4*l(j) + v(j). Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by 1129570?\nAnswer: -188\/564785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 3*f + 8. Let r be u(-4). Suppose -2*x + r = -6*x. Let t be 0\/x - (1 - 1). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.971574 centuries to years.\nAnswer: 97.1574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0558407 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -84 - (0 + 23)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 m when four letters picked without replacement from wwwmmmmwmwwmmwmm.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.955217.\nAnswer: -0.0955217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9*45\/(-6). Let m(z) = -8*z - 33. Let q be m(n). Solve 4*c - q = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:54 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 39, 64, 93, 126, 163?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82659 = 21*h + 30*h - 82200 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(567)*1 + -5 + (sqrt(567) - (5 + -5*sqrt(567))))*6*3)**2.\nAnswer: -496692*sqrt(7) + 9049653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**4*d**(-1\/7)*(d*d\/(d*d**(-11)*d))\/d**(-5\/2) assuming d is positive.\nAnswer: d**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7700905897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-28)*(-63819)\/(-1321965).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2*x - 3. Let k = -14 + 11. What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:50 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 5 - 45. Suppose 0 = 5*a - t*q - 121525, 0 = 2*a + 3*a + 3*q - 121485. Round a to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2\/2 - 118. Let m(g) = -34*g. Determine m(v(q)).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -102*d + 452. Let r be l(4). Is r != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 + 29*j - 48. Let y be v(5). Suppose 0 = 6*q - 81 - 33. Solve -12 = -y*k + q*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/6)\/((12250\/(-40))\/25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**2 + 4*s + 4. Let a be m(-2). Let c = 81 - a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 45*s**4\/2 - s**2\/2 + 65*s + 476. Differentiate g(u) with respect to u.\nAnswer: 270*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 6\/4)\/(26\/2132). Let i = 58 - u. Suppose 0 = 3*q - 3*f + 6 - 15, -4*q + i = -3*f. Calculate the lowest common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-40 - (-122 + 54)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = -x - 151, 3*w + 4*x = 86. Calculate the least common multiple of 18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 39. Let v(d) = -d**3 + 3*d**2 - d - 1. Let m(h) = h**2. What is u*m(c) + v(c)?\nAnswer: -c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*b, f + b + 6 = 2*f. Calculate the lowest common multiple of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from rgggggggggggggg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 10441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6509, -6500, -6461, -6374, -6221, -5984?\n\"Answer: 3*v**3 - 3*v**2 - 3*v - 6506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33600 and 8640?\nAnswer: 302400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4734?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -49449310.1?\nAnswer: -49449310.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 104. What is the greatest common factor of 45 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r)**(-30) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/11 and 50\/373?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from {g: 2, f: 9, u: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 20 = 140. Calculate the lowest common multiple of -4*((-20)\/8 - -1) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 3172*i + 44601. Give m(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66790829 times 0.2\nAnswer: -13358165.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 122*o**2 + 11*o - 33. Give q(2).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, y: 1, i: 2, w: 1, b: 1}. What is prob of sequence vwwv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 3*o**3 - 5*o**3 + (-1 + 1 - 2*o**2)*(2 + 2*o - 2) - 1 - 2*o**3 + 1.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2808925 and 3975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5724884 and 220.\nAnswer: 28624420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/3))*d*d**13\/d)\/(d**(-4\/5)*d\/(((d**14\/d)\/d)\/d)*d) assuming d is positive.\nAnswer: d**(352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17083181 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(1\/24)\/(q**(2\/5))**(-41) assuming q is positive.\nAnswer: q**(2957\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 19*n = 680. Calculate the remainder when 421 is divided by n.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 16, -2, 5, -116 in increasing order.\nAnswer: -116, -4, -3, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {b: 10, n: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-8)*20\/6. Let o = -12 + n. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 227, 232, -0.3, 3\/4?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23822184 divided by 12.\nAnswer: -1985182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (4 - (-1 - 1)) + -788 + 814\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + 0 + 0 + 91 + (165 - 68 - 177).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-601344)\/14094)\/((-100)\/15)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (31 + -34) - 60?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57591 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 1562636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -36, -37, -17.\nAnswer: -37, -36, -17, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, 0.1, 229?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*u**3 + 3 + u**3 - 147*u**3 - 39*u**3 in the form o*u + y + a*u**3 + h*u**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16914?\nAnswer: 2, 3, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/1474 + 3583\/1375242. Is n bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/30, 10270, 2\/7.\nAnswer: -1\/30, 2\/7, 3, 10270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 73*b + 1386 = -2564. What is the highest common divisor of 1370 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -62. Let t(d) = -d - d**2 + 12 + 6*d + h*d + 3. Is t(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.126 - 6.1. Let a = q - 0.026. Put -2, 5, a in descending order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/60 - g**4\/3 + g**3\/6 + 3*g**2\/2 - 20*g. Let m(h) be the first derivative of a(h). Determine m(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(432) + 1) - sqrt(432)) + sqrt(432))**2*4 - (sqrt(432) + -1*sqrt(432) + 3 + 5).\nAnswer: 384*sqrt(3) + 6920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -4 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 52 = -17*d. Solve d*j = -44 + 46 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (320\/25)\/(-8)*-10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-3*z**3 + 0*z + 0*z) + (-1 - 2*z + 1)*(-z**2 + 0*z**2 + 4*z**2) to the form c*z**3 + i*z**2 + a + x*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let k be ((-1)\/(-2))\/((-4)\/(-9)) + -1. Is k at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.4567 millilitres to litres.\nAnswer: 0.2904567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-15\/8))**(-8) assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/330 and 82\/14685?\nAnswer: 29370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-4) - (-5)\/(-20). Suppose m*t = 4*l + 7, 5*t + 3*l - 4 = 2*l. Let a = -1444 - -1443. What is the second biggest value in a, 2\/13, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = -2. Let z = -16 - -24. Calculate the least common multiple of k and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1743 in -0.04, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 3*x - 4*x)*(-2033 - 627 - 230 - 1117) as a + g*x and give g.\nAnswer: 4007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1242*u - 26. Is f(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbugbggu. What is prob of sequence gugu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35408*r - 20 = -35404*r. Let w = 236\/3 + -550\/7. What is the third smallest value in 0.01, w, r, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 1. Let m = 21 + -19. Let s(b) = -115*b + 115*b - 3*b**m. Suppose 4*k - r + 5 = 0, 5*k - r + 0*r + 7 = 0. Determine k*o(z) - s(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.4860786 from 3776.\nAnswer: 3799.4860786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146\/5 + -30. Let c(u) = u**3 - 3*u**2 + 2. Let v be c(3). What is the nearest to 3 in v, 0, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6434\/16 - (82\/16)\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 246642*u**2 - 592*u + 5920. Let x(p) = -1252*p**2 + 3*p - 30. Let t(v) = 3*g(v) + 592*x(v). Let w(k) = -3*k. Give t(w(q)).\nAnswer: -11322*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.2 and 43775?\nAnswer: 315180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*l = -69, v - 6*l = -2*l + 24. Which is bigger: 13 or v?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250076591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-6))\/((-24542)\/2226 - -11). Sort 1, b, -2\/5 in decreasing order.\nAnswer: b, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpzprxxypj. Give prob of sequence xj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81461025 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31110133100 + 2?\nAnswer: 31110133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 50. Let n(f) = 3*f + 25. Let p(s) = 6*a(s) - 11*n(s). Calculate p(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 9, 5*j + 18 = 2*u - 3*u. Let p be j\/(27\/24) + 3. Which is the smallest value? (a) 3 (b) -0.6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (210795\/(-3575) - (-2)\/(-55))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.048 + -22.048. Let j = -20.2 - t. Let l = 0.8 - j. Which is the nearest to l? (a) -3\/7 (b) -0.4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(528))\/((sqrt(21)*1)\/sqrt(7)) + ((-5*(1*sqrt(396) + sqrt(396)))**2 - (4*(-1 + sqrt(396)) - sqrt(396))).\nAnswer: -2*sqrt(11) + 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/12 + (-15)\/(-20). Let o(n) be the second derivative of -2*n + 1\/12*n**4 - 1\/3*n**3 + 0 + z*n**2. What is the second derivative of o(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10040\/(-2259)*(-3)\/20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/54*(-24)\/440.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10390520 is divided by 1195?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46666039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 161 (c) -24183 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3 + (-25)\/(-12). Let i = -0.06 + -0.94. What is the nearest to i in -5, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 42. Suppose 0 = -h + 4 - 0. Suppose t - 3 = 4*d - 9, 0 = h*t - 5*d + 2. What is the remainder when u is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - 261. Find the common denominator of -35\/4 and 18\/8*w\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x - 33*x + 1368 = -2*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41741932869290 and -3.\nAnswer: -41741932869293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 26 = 2*v, -2*d + v + 12 = d. Let j be (-5)\/4*(18 + -38). Suppose 0 = 2*n - 0*n - 4*o + 4, 3*o - j = -4*n. Solve -n*i - d = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m. Suppose 2*t + 0*t = -3*f + 10, -2*f - 3*t + 10 = m. Solve 3*k = -2*g + 12, 4*g - 2*k + f = 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1443 in 0.1, -0.8, 4, 1\/2, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6 and 29.\nAnswer: -278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:58 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -0.5, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:35 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:10 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*i**5 - 2*i**4 + 208*i**2?\nAnswer: 1380*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/72*12)\/((-10)\/108)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a*(a*a\/a**(-1))\/a)\/a)\/a)\/((a**(-1)\/a)\/a))\/(a*a*a**(1\/11)*a*a*a**(-3)))\/((a**1)**(-23)\/((a\/(a*a*a\/a**(-4)))\/(a**5\/a))) assuming a is positive.\nAnswer: a**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let l be u(3). Suppose 3*y - l*g = 99, 4*y - 3*g = -2*g + 120. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405264894 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/159, 0.03, -0.1, 0.017, -5, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 48*u**3 - 8*u**2 - 31*u**3 - 2*u**4 - 25*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30992697.\nAnswer: 3, 61, 56453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + 7*l + 11. Let h be v(5). Calculate the common denominator of 78\/8*((-330)\/h - 6) and 133\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.309 - 212.109. Let b = p - -210. What is the closest to b in 0.2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-6)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 + 8*x**2 + 5*x - 2. Let j(c) = -5*c**3 + 8*c**2 + 4*c - 2. Calculate -5*j(t) + 4*u(t).\nAnswer: t**3 - 8*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2 - 207*o - 30. Let i(h) = -3*h**2 + 60*h + 9. Let t(z) = -7*i(z) - 2*p(z). Let g be ((-3)\/1)\/(1\/(-2)). Give t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-5 + -14 + 26 - -3)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let k(u) be the third derivative of -u**5\/12 - 2*u**2. Calculate k(w(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 7) in base 10?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.7. Let p = -1.4 - h. Let g = p - -0.2. Which is the nearest to -0.1? (a) -2\/13 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 626*y**2 + 16*y - 314*y**2 - 301*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m + 5*c = 10, -3*c = 5*m - 22. Solve 0 = -m*n - u - 9, 8 = -3*u - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*w**3 + 503*w**3 - 1729*w**3 + 516*w**3.\nAnswer: -102*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/8 + (-8 - 0). Which is the closest to 0? (a) g (b) -5 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*o - 368948*o**2 + 492*o + 368958*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12352982?\nAnswer: 2, 17, 421, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*o**3 - o**2 - 9*o**2 - 6*o**2 - 67*o + 2*o + 18*o**2 wrt o?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 973449*k*t**2 - 824*k*t - 320*k wrt t?\nAnswer: 1946898*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3065 + -3006. Solve 91 - g = -8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 6*g**2 - 3900*g + 3905*g.\nAnswer: 7*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*q + 7*q - 75 = 0, -4*q + 42 = -3*f. Let y be (8\/6)\/((-4)\/f). Let j(l) = l**2 - 8*l + 8. Determine j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + 4*q**2)*(-q - 3*q + q)*(2 - 2 - 1).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(2299)*-2 - (-3 + (sqrt(2299) + sqrt(2299)*-2)**2)).\nAnswer: -2298 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzzwzwzzzf. What is prob of sequence wfz?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 + 210 - 75 - 124*s**4 + s**2 wrt s.\nAnswer: -496*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*-2*-6 + 3*(-2*sqrt(77) - sqrt(77)))*-4)\/(sqrt(704)*-3 + sqrt(11) - -1*sqrt(176)))**2.\nAnswer: 1008\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80721971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.5. Let h = g - 4.6. Sort 2, h, 0.3 in descending order.\nAnswer: 2, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-387*h + 5*h + 40*h)*(9*h - 7*h + 4 - 6) as p + r*h**2 + g*h and give r.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3786858208 to five dps.\nAnswer: -0.37869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-22) + 16960\/1408. Suppose 0*x - 183 = -3*x. What is the third derivative of d*j**6 - 20*j**2 + 2*j**2 - x*j**5 + 61*j**5 wrt j?\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h + 8. Let z be m(0). Solve 0 = 3*i + i - z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2190159 is divided by 365023.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157.8740421 + -456986.\nAnswer: -456828.1259579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11469780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 36 = 2402*i - 2413*i, 2*y + i = -i - 5 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/801772 and 75\/1216.\nAnswer: 243738688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31018 and 2817866?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6117 - 6107. Calculate the lowest common multiple of (-6 - 0)*3\/(-6) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 52291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/35)\/((-8)\/((-56)\/3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 3*t - 1. Suppose u + 0*u + 5 = 0. Let q be b(u). Solve -3*p - 3 - q = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2. Let p(m) = -13*m + 3. Let s(u) = u**2 - 23*u - 3. Let r be s(23). Let b(i) = 52*i - 13. Let a(x) = r*b(x) - 13*p(x). Give a(f(l)).\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(8\/3)*d*d**(16\/5)*(d*d**32)**(-11) assuming d is positive.\nAnswer: d**(-5342\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v + 3. Let q be x(3). Sort 3, 0, q in descending order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38792 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2081 - 4087 + 2071 + 19*y**3 to z*y**2 + s + a*y**3 + w*y and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*y + 19 = s - 163, -3*y - 116 = 3*s + 58 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/95 - -2) + (-222)\/(-57)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17354 divided by 8677.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 132.76 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1247*(-123)\/(-7134).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -5*k**4\/12 - k**3\/6 + k**2. Let d be v(-2). Solve 3*m = h + 1, 0*m + 5*h = m - d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 9*s**2 + 27*s + 30. Let i = -104 - -167. Let k = i - 75. What are the prime factors of b(k)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q - 2761 = 52*q - 12914 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/16*4\/6. Suppose -4*s = -0*s + 4*z - 1716, -a*s = -5*z - 1295. What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 117*k - 84. Let s(w) = 252*w - 169. Let i(t) = 13*p(t) - 6*s(t). Calculate i(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 25 = 0. Suppose -3*s + 10 = 4*v, -v + 6 = 5*s - t*v. Solve -9 = j + s*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.44 in -0.5, -0.2, -102\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2356.3 times 13020?\nAnswer: -30679026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 85*g + 3312. What is p(-39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89880907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 0*z - g + 4*g + 15 = 2*g - 4*g, 2*g - 28 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 500*f**2 - 2865408*f\/11.\nAnswer: 2*f*(f - 448)*(f + 3198)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 + l**5 + 2*l**5 + (-9*l**3 + 0*l**3 + 2*l**3)*(-6*l**2 + 2*l**2 + l**2) + 11*l**4 + 2*l**4 + 123*l**2 - 125*l**2 + 2*l**5.\nAnswer: 21*l**5 + 13*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -366 - -1?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkkkcyyek. Give prob of sequence ec.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -55 - -33 - (-3 + -3 + 12 + -11 + -5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z + 2. Let b be h(-1). Let j(t) = 4*t - 33. Let c be j(b). Suppose -2*a = -7*a + c, -5*a = f - 21. What is the remainder when 16 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101 (base 3) in base 14?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4503.8882 - -0.12\nAnswer: 4504.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/4)\/19*2*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-2)*12\/(-10). Suppose -4*g + t = -g. Suppose h = -0*h + g*b + 17, b = h - 5. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 57 = 0. Let o(j) = -j - 13. What are the prime factors of o(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-4*x + 0*x + 5*x) - x + 4*x + 0*x + 4*x - 4*x + 6*x + x + 65 - 19*x - 65.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 123*m - 4280. Let u be c(35). Solve 25*b = 50*b - u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.569196833 rounded to 3 dps?\nAnswer: 0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*p - 1. Let m be (-4)\/(-14) - p\/7. Find the third derivative of m*u**2 + u**3 + 4*u**2 - 3*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285\/16 - -181577\/10192. Let s = 615\/7007 + p. Sort 1\/4, 4, s, -0.01.\nAnswer: -0.01, s, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1143076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 24. Suppose 0 = -5*a - m - 0*m + d, 5*a + 4*m - 46 = 0. Let i be -9 - (-447)\/21 - (-4)\/(-14). Solve -2*k = -a*k - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10615 is divided by 231.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-26\/5)\/n)\/(((n*n**28\/n)\/n)\/n))**(-39))**(-46) assuming n is positive.\nAnswer: n**(-288834\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 4 - 4)*(0*w + 3*w - w)*(-1 + 5 - 3) + (-3*w + 2*w + 5*w)*(0*w + 0*w - w) + 10*w - 10*w - 41*w**2.\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = 105*i - 424 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3071*u + 1289*u + u**3 + 1488*u - 1 + 1.\nAnswer: u**3 - 294*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - a = 81, 2*v + 4*a = 3*a - 33. Let y be v\/(4\/40*(-5)\/(-2)). Calculate the lowest common multiple of 2 and (6 - 8)\/(2\/y).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*w**2\/13 + 1078*w\/13 + 36\/13.\nAnswer: -2*(w - 18)*(30*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 97972?\nAnswer: 391888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450578, 450440, 450316, 450212, 450134?\nAnswer: 450088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let v(l) = l. Let c(o) = 3*m(o) - 4*v(o). Let q(y) = 4*y**2 - 3*y**2 + 5*y**2. What is q(c(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-81)\/(-24) - (-6)\/(-16)). Let v = 0.08 + -0.08. What is the fourth biggest value in -3, -2\/3, i, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 10}. What is prob of sequence ee?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.82, 0.5, 2, 8 in descending order.\nAnswer: 8, 2, 0.5, -11.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - 57*p**2 + 20*p + 193. What is i(-6)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -1\/2, -1\/4, -919?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.75795ns?\nAnswer: 0.0000000004626325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 + 1388\/7. What is the nearest to 1\/4 in x, 2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3985 - 7271 + 6921)*(-o - o**2 + 0*o + 0*o**2).\nAnswer: -3635*o**2 - 3635*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 + 6 = 0. Suppose 18 = u*j - 7. Suppose 226 = j*a + 36. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/4 - 833*u**3\/2 + 197943*u**2 - 19552150*u - 39899408 = 0.\nAnswer: -2, 136, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 - 19 = 0. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946513.6 grams in milligrams?\nAnswer: 946513600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 36805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -49 + 0*v**2 - v + 4*v**2 - 2*v**2 + 41. Let z be m(3). Let t(p) = -p**3 + 7*p**2. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.5 + 46.6. What is the second biggest value in l, -0.4, -20\/39?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 274. Suppose 35*o = 1449 + 1631. Is o at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 165. Let g(n) be the second derivative of m + 0*n**4 - 1\/3*n**2 + 2\/9*n**3 - 1\/15*n**5 + 2*n + 1\/45*n**6. Factor g(x).\nAnswer: 2*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*(-17)\/(119\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + d + 43, -3*w - 5*d - 35 = -5*w. Let l be 36\/w + (-4)\/(-10). Let o = -0.2 + 0.4. Is o >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -6*(2 + sqrt(1053)) - ((-1 + sqrt(1053))*3 + sqrt(1053)))**2 - (-1*sqrt(13)*-2 - -6*sqrt(52)\/sqrt(4)).\nAnswer: 1450*sqrt(13) + 85374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**7\/w)\/(w\/(w*w*w*w**6)*w))**20)**33 assuming w is positive.\nAnswer: w**9240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(2\/7)*q**5*q*q*q\/q**(8\/5)*q*q**9\/q assuming q is positive.\nAnswer: q**(619\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Suppose 5 = -2*o + l*o. Let y = o + -8. Does y = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {b: 1, p: 1, o: 2, z: 1, u: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 - ((-3109255)\/380 + (-10)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 50. Suppose 0*b - b = 4, 0 = 4*a + b - 8. Suppose -2*x - 15 = a*x. What is the smallest value in j, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/36*(-1)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -1674 + 1779. Suppose -4 = -5*l + 11. Calculate the remainder when h is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126184055 + n**2 + 126184055.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u. Suppose 2*n - 3*s + 3129 = u, 1 + 5 = 2*s. Round n to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556275?\nAnswer: 5, 102251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 4. Suppose 0 = -2*k + l - 0, -5*k = -x - 3. Which is greater: x or 20\/7?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/10)\/((-7)\/(-42)). Suppose 0 = u*f - 5*f - 980. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + i - 6 - 2, 6 = 2*g + 2*i. Let p be ((-39)\/(-104))\/((-6)\/4). Which is the nearest to p? (a) -1\/6 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 3\/2, 11\/4, -8.\nAnswer: -8, -0.4, 3\/2, 2, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11608719 to the power of 1\/2, to the nearest integer?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(5*g - 20*g - 33*g).\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 88*v - 1065. Determine i(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -5) + (0 - 0). Determine p, given that r*p**4 - 5*p**2 + p - 3*p**5 + 2*p - p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8092 + -7897. What is the remainder when 1560 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*a = -5*a + 35, 4*x - 2*a = 12. Suppose 30 = x*l - 20. Let h(j) = 33*j - 491. Let w be h(15). Solve -w*c + l = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 104.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -18 - 22 - 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-6))\/(22\/(-231)). Suppose -372 = -5*z - 2*v - 0*v, -z = 3*v - y. Suppose -c + z = -4*p, -5*p - 187 = 3*c - 6*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11301*d - 103003 = 213425 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 328. Solve 4*m - b = -106 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04942 and -37084.30872.\nAnswer: -37084.2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(338\/(-507))*2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(154)\/(sqrt(11) + sqrt(44)))\/((sqrt(20)\/sqrt(2))\/sqrt(5) + sqrt(2)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*q + 10 = -0, 0 = q + 2. Let v = w - -1. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 4 + -1 + -2. Put y, 5, 0 in decreasing order.\nAnswer: 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250279613 a multiple of 924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*r - 81*r + 2238*r as h + j*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o - 4. Suppose t - 2 = 1. Let h(l) = -9 - l + 7*l - 12*l - 2*l**t. Give -9*c(r) + 4*h(r).\nAnswer: r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b2 + -60a?\nAnswer: 3aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + u + 0*u + 0*u + 4*u - 3*u + (-3 + u + 3)*(2 - 3 + 3) + 51*u + 445*u - 84*u in the form p*u + k and give p.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226908032 divided by 373204.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 6 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + g**2. Let b(j) = 1 - 4 - j**2 + j**3 - j + 2. Let w(y) = -7*y**3 + 2*y**2 + 3*y + 3. Let x(i) = 3*b(i) + w(i). What is 5*h(q) + 3*x(q)?\nAnswer: -2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2*x + 1. Let b(a) be the third derivative of -a**4\/2 + 2*a**2. What is the smallest common multiple of b(-1) and f(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**8\/84 - 8*b**7\/35 + 9*b**6\/10 - 14*b**5\/15 + 10640*b**2. Factor a(w).\nAnswer: -4*w**2*(w - 1)**2*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 26*m - 23*m = -17424, -3*m = -5*p + 21777. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*v**2*w**5 - 2*v**2 + 2154*v*w**2 + 13*w**6 + 2*w**2 wrt w?\nAnswer: -2160*v**2*w**2 + 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456*b**2 + 475*b + 468*b - 944*b)*(-1 - b + 1).\nAnswer: 456*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2, 16*u - 17*u - v + 90 = 0. Calculate the remainder when 537 is divided by u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 150, 0.3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0 - (31 + 3)) + -12 + (9 - 5).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t + 7. Let u be -11 - -8 - (-30 - 0). Suppose u = -t*r + 3*r. Solve -a + r = -5*p, -2*a = 2*p + p + 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169303.122 rounded to the nearest 10?\nAnswer: 169300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/458 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*h*s*x*y - 48*h*x*y - 23*h*y**3 + 2*h*y**2 - 14*s*x*y**3 - s*x with respect to s.\nAnswer: -37*h*x*y - 14*x*y**3 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.0326 (c) -0.09 (d) -5 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by (37\/6)\/(21\/126)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 106. Suppose 7*h - a = -0*h. Sort h, 0.3, -2\/11 in ascending order.\nAnswer: -2\/11, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + (sqrt(405) - 1*sqrt(405)))*-2 + ((sqrt(35) + sqrt(315))*5)\/(-1*sqrt(448)))**2*4.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.507647969 and -34.\nAnswer: -37.507647969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7733.\nAnswer: 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d = 58*d + 3496 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 1 + sqrt(44) + -3 + (sqrt(539))**2.\nAnswer: 4*sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1785)\/1428*(-12)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 40310.81 minutes?\nAnswer: 2418648600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 49*j - 54*j, -q - 4*j + 3780 = 0. Calculate the greatest common divisor of q and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 169\/65 - ((-176)\/15)\/4.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 18 = 0. Let h be 2\/n*1*3. Suppose 3*i + 1 = 13. Put 5, h, i in decreasing order.\nAnswer: 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -12 + 60. Let k(o) = -4*o + 8. Let g(n) = -3*n + 8. Let q(v) = 3*g(v) - 2*k(v). List the prime factors of q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704895110, 704895109, 704895108?\nAnswer: 704895107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127756333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/3 + 9673*i**3\/3 - 48383*i**2\/3 + 22581*i - 9678 = 0.\nAnswer: -9678, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {k: 1, u: 1, q: 2, m: 1, h: 1, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 373699345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6020 and 24.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.7. Let k = -0.3 - -0.1. Let o = -40 + 40.2. Which is the closest to m? (a) -0.1 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 100 = 2*k + 165, -k - 5 = 0. Sort -10, -4, 2, f.\nAnswer: -10, -4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6098 or 7068?\nAnswer: 6098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -100. Suppose 0 = i*b - 3*b - 18. Solve -10 = -2*x - 2, -b*y - 16 = -x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = -2*p. Let g = -64.5 - -64.5. Put g, 0.06, p in increasing order.\nAnswer: g, 0.06, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17155 and -26148938.\nAnswer: -26166093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3960 - 3264. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 48. What is the third biggest value in -6\/5, w, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 7*f + 6. Let y(x) = -x**3 - 9*x**2 - x - 13. Let g be y(-9). Let c be z(g). Let l = 45 - c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6310830 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*305\/10*(-3 - -5). Suppose 123*c - n*c + j = 5, -3*j - 1 = -c. Solve -4*x = 5*s, c = 2*s - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + 0*s)*(-s**2 + 2*s**2 + s**2) + (4 + 2*s - 4)*((0 - 5 + 4)*(-3*s - 4 + 4) - 21*s + 18*s - 44*s)*(2 - 3 + 3)*(1 - s - 1).\nAnswer: 172*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 513 divided by -11545\nAnswer: -513\/11545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10113 = 9*z + 12669. Which is greater: -853\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-384)\/18)\/4*813\/(-542).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + (3 + (2*sqrt(832) - sqrt(832)) + 2)*2 + -4)**2.\nAnswer: 320*sqrt(13) + 3426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 + 7*c + 5. Suppose j - 8 = -0*j. Let w be 29\/4 + (-2)\/j. Let q be r(w). Solve 3*l = -5*m + 25, 0*l - m = 5*l - q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923*n - 32435 - 163711 = 0 for n.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5794 divide 2218122814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -13742\nAnswer: -41226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from ttgjmxgp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(528)\/sqrt(3) - sqrt(121)\/(sqrt(11) + sqrt(44)\/sqrt(4)) - 2*sqrt(176)*2))**2*6.\nAnswer: 600*sqrt(11) + 20817\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 65276449*z - 104. Let h be r(-2). Let u = h - -213853002. Round u to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + (-98)\/16)*(-12)\/((-12)\/(-4)). Which is the third biggest value? (a) -55 (b) 1\/3 (c) s (d) -4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31. Solve -y*z + 7 = u, -z = 4*u + 2*z - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.7 + -50. Let l = d + -3. What is the biggest value in -8, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:25 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/3 + 23616*u**2 - 47230*u + 70844\/3 = 0. Calculate u.\nAnswer: 1, 35422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52739*v**2 - 143*v - 36 wrt v.\nAnswer: 105478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 15.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.043 - 13.543. Let l = y - -14. Let z = l + -0.49842. Round z to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*n*t + 145*m**3*t + m**2*n*t + 2*m**2 + 217*m*n*t wrt m?\nAnswer: -18*n*t + 870*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - f + 16593833 = 0, -x - 4*f + 0*f + 4148462 = 0. Suppose -4*p + 7851542 = -x. Suppose -p = 4*g + g. Round g to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y - 36. Let l(v) = -v**3 + 6*v**2 + 3*v - 7. Let h be l(4). Suppose -2*f - 3*f - w = -h, f + 7 = -5*w. List the prime factors of q(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 158*r**2 - 3*r - 128. Suppose -28*k + 9 = -31*k. Let j(t) = 53*t**2 - t - 43. Let n(l) = k*z(l) + 8*j(l). Find the second derivative of n(m) wrt m.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*u**2 + 1412*u - 1412*u to j + s*u**2 + x*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**(-1))))\/s)**(2\/67)\/((s*s*s*((s*s**(-7))\/s)\/s*s)\/((s**(5\/2)\/s)\/s)) assuming s is positive.\nAnswer: s**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 1 = -14*m. What are the prime factors of 3 - 1\/(-1) - m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -5*a - h - 762, 3*h - 994 = 5*a. Let z be (-24)\/a*(-2)\/(-3). Is -1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.38138ng to milligrams.\nAnswer: 0.00006438138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25814411*a**4 - 17330759*a?\nAnswer: 309772932*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (240\/(-100))\/12 + (-16)\/(-5). Let a(j) = -j**3 + 7*j**2 - 5*j - 2. Let h be a(6). Solve -9 = h*o + v, -3 = -3*f + 2*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6194*u = -6224*u + 18540. What is the lowest common multiple of u and 1133?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**7\/d)\/d*d)\/d)**(25\/2))**50 assuming d is positive.\nAnswer: d**3750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354 - -1098. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 4. Let s be a(3). Let w(o) = 3 + s - 8. Let u(p) = p**3 - 2*p**2 + 2*p + 1. Let b be u(2). Let n(g) = -g + 5. Calculate b*w(r) + 3*n(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*h = -807*h - 1478 + 5470 + 27234 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:07 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/82140 and -63\/104960.\nAnswer: 431070720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 - j + 1. Let x be c(-3). Put x, 4, 1 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-15)*(-452)\/67800\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -108606 + 108606 - 15742*h as a*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -32. Let n(k) = k**2 - 3*k + 1. Suppose 0 = h + 5*a + 6, 4*a - 7 + 3 = -3*h. Let u be n(h). Solve -5 = b - 4*w + 14, 0 = -u*b - 5*w + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-494) + (-155)\/(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 14*o**2 + 11*o + 13. Let b be x(15). Let f be 2\/4 - 350\/(-4). Let q = b + f. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7309 = -940*a + 7324 + 9807 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -31, -68, -125, -208?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 18*r - 31 = 449 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 805*b**3 + 6*b**2 - 5*b - 8. Let k(a) = 1609*a**3 + 11*a**2 - 9*a - 15. Let i(q) = 5*h(q) - 3*k(q). What are the prime factors of i(-1)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248635, 2497283, 3745929, 4994573?\nAnswer: 6243215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sum 125 and 0.11831969608.\nAnswer: 125.11831969608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 3*m - 2. Let c be n(-2). Suppose -23*v - 15 = -26*v. Solve c = -g - v + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9534)\/2 + 6\/2. Let q = 7706 + l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 8 + -1 + -1. Suppose 5*o = s*o - 6. Find the third derivative of 6*m**2 + 4*m**3 - 2*m**2 - 6*m**2 + 9*m**o wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*v - 1118 + 2090 = 1074 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*l**4 - 5*l**2 + 1861*l?\nAnswer: 1008*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*z + 2*z - 1, -v = -5*z - 8. Let f(k) be the first derivative of 3*k**v + 3 - 5*k**3 + k**3. Determine b so that f(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/7)*t)\/t)**(-1\/60)*t**8\/(t\/(t*t**(2\/5))*t) assuming t is positive.\nAnswer: t**(776\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -242 (b) 2 (c) 0 (d) 54 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 9 + 0*x - 1\/3*x**3 + 0*x**2. Let z(l) = 8*l**2. What is n(z(p))?\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80946 divided by 3.\nAnswer: -26982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 16*u**2 - u**2 - 3*u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5254 - 523.7746. What is h rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102101011121 (base 3) to base 16.\nAnswer: 34125d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -5*l - 9*t + 303, 5*l = -36*t + 32*t + 182 - 14 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*n**2 - 85*n**2 - 144*n**2 - 71*n**2 to the form a + z*n + k*n**2 and give k.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147.1 - 138. Let r = x + -1.1. Let q = -11 + r. Which is the second smallest value? (a) q (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-2)\/56*-6). Is 13 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 26215990.86?\nAnswer: 26215994.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.506579 to two decimal places.\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63174 = 2891*x - 54753 - 84443 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 370*s - 360*s - 1320. Calculate the smallest common multiple of 21 and s.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64001709169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460 and 908340460.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 5*k - 2. Let q be c(3). Let d = q + -165. Let m = -4 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 21*i**2 - 20*i - 41. Let w(v) = -5*v**3 - 84*v**2 - 80*v - 163. Let l(f) = -9*j(f) + 2*w(f). What is l(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2984*d + 9131 wrt d.\nAnswer: 2984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 + 5*k**2 - 10*k + 21. Let h(m) = 3*m**3 - 3*m**2 + 5*m - 10. Let a(t) = 9*h(t) + 4*q(t). Is a(-8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -834*t**3 - 7*t**2 - 7*t + 2. Let f(b) = -418*b**3 - 4*b**2 - 4*b + 1. Give -7*f(x) + 4*y(x).\nAnswer: -410*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/3 - 2365*u**2\/3 - 2360*u\/3.\nAnswer: -5*u*(u + 1)*(u + 472)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 - (-59 + -8 - -2) - (-8 - 0).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -94*f**3\/3 - f**2\/2 - 5*f. Is z(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*u**3 + 188*u - 1.\nAnswer: 780*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-180) - 222\/45. Sort 6, 4, k, 2 in descending order.\nAnswer: 6, 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 30. Let x be n(14). Suppose 0*b + 5*b - 5*v = -5, -3*b = x*v - 17. What is the derivative of -3*l**3 - 6*l**b + 625 - 626 wrt l?\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58)\/(-6) + (-4)\/6. Which is bigger: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 33 - 31 = 0. Suppose -1 = -v - 0*v - 5*d, 2*v = 4*d + g. Calculate the lowest common multiple of ((-5)\/(15\/9))\/((-9)\/21) and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7 = 5*g, -2*a = -302*g + 306*g - 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, f: 9}. Give prob of sequence mfff.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssmmsms. Give prob of picking 3 m.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 8*t + 22. Let h(m) = -3*m**3 + 7*m**2 + 2*m - 5. Let c be h(-1). Calculate g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11502 is divided by 114.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a + 1\/100*a**5 + 0*a**3 - 44*a**2 + 0 - 11\/20*a**4. What is p in g(p) = 0?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*i + 69 + 100, -m + 159 = -4*i. Let n = m + -142. What is the remainder when 108 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 76 - 83 - 5*r + 2*r. Suppose -3*x - 2*x - 2*u = 25, 0 = 3*x - 2*u - 1. Let m be q(x). Which is bigger: -0.07 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 15539948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/7 - 337*u**4\/7 + 27999*u**3\/7 - 303327*u**2\/7 + 157140*u - 1298916\/7 = 0. What is u?\nAnswer: 3, 6, 114, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52794412 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 233004*r - 2*r**3 - 233278*r - r**3 + (-2*r**2 - 2 + 2)*(2 - 2 + 4*r) + r**3 + 0*r**3 - 2*r**3.\nAnswer: -12*r**3 - 274*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1421 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*6\/4*4\/6. Let f be (-2)\/i - 375\/(-55). Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -492 - -527. Calculate the least common multiple of -10*(-3 - -1)*(-3)\/(-6) and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1043, -2530, -5013, -8474, -12895?\n\"Answer: 3*g**3 - 516*g**2 + 40*g - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*h**3 - 5858*h**2\/3 + 2914*h + 30 = 0. What is h?\nAnswer: -5\/489, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 157 - 3*n + 87 + 219.\nAnswer: -3*n + 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 5879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 303*c = 306*c + 23652, -4*c + 39447 = 5*d. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - h**2. Let p = 30 + -25. Let q(w) = -4*w**3 - w**2 - w. Let a(f) = p*y(f) - 2*q(f). Determine u so that a(u) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*q + 1 = -4, 4*q - 10 = 2*r. Let o = -3 - r. What is the second derivative of g + o*g + 2*g**5 - g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -3)\/(9\/(-30)). Let h = r + 10. Sort -1, 2, h.\nAnswer: -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j**2 + 63*j - 26. Is h(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 2. Suppose -3 = -4*r + 17. Let l be f(r). Suppose -t - l = t. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 404*u - 447*u - 4 + 4 + 5*u**2 - 4*u**2 + 2*u**2 + 0*u**2 + u**2 + 0*u**2 + u**2 + (-1 + 1 + u)*(-1 - 2*u + 1) + u**2 + u - u.\nAnswer: 4*u**2 - 43*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-1316))\/(2\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75208 and 213724?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2506 minus 2227800?\nAnswer: -2227799.7494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 233*y**3 + 232*y**3 - 79506*y + 2.\nAnswer: -y**3 - 79506*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w + 1. Let s be j(-5). Let v = -9 - s. Suppose 0*h = h + 2*u - 29, -3*u = 4*h - 106. What is the highest common factor of h and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 3*t + 48, 0 = -4*b + 3*t + 39. Let l(i) = -1. Suppose -1 - 5 = -3*n. Let y(v) = -v + 4. What is b*l(s) + n*y(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -158*v + 703. What is the remainder when 226 is divided by a(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5878.90304 - 5879. Round b to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2275 - -285. Suppose -100 = -2*y + 5*h + 1154, -4*y - 3*h = -n. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86646642 minus -0.4?\nAnswer: 86646642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(-3\/10)*l)\/l))\/(((((l*l\/l**(2\/3))\/l)\/l)\/l)\/l*l))\/((l*l**8*l*l)\/(l**(-15\/4)*l)) assuming l is positive.\nAnswer: l**(-707\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 45. Suppose -3*o = 2*d - 1, -d + 6*d + 4*o - 6 = j. Suppose -d*q = -3*h + 24, -4*h + 43 = -5*q + 4. Solve -h = -3*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58761, -1, 11 in decreasing order.\nAnswer: 58761, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddgggggdgdddgdgg. Give prob of picking 2 d.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28097 + (-17)\/(238\/(-140)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/20 - ((-81)\/12 - 2). Solve -l = y - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234703 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-129)\/(-9))\/(2\/18). Suppose 2*a + 312 = -3*h, -3*h + 4*a = h + 396. Let t = i + h. Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7 - 9.527. Let n = -28.727 - d. What is n rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -96. Let u be (322\/4 - 1)*(-8)\/l. List the prime factors of (1 + u - -2)*-1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 223 in -5, -1\/5, -3\/7, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/3))**(-43))**(-2\/87))**(-44) assuming c is positive.\nAnswer: c**(-7568\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -2215\nAnswer: -7\/2215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.212ng in tonnes?\nAnswer: 0.000000000000709212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)*-2)\/sqrt(7))\/((sqrt(121) + sqrt(121) + sqrt(121)*3)\/sqrt(11)).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 1.5. What is the smallest value in -4, t, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 13*z + 13. Let n be g(-14). Let u be (-21)\/(-4) - n\/(-4). Suppose -11 - 273 = -u*c - b, 0 = b - 4. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -469 - -528. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let d = -84 + 88. Solve b = 4*j + h, 0 = d*j - 2*h + 1 + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 + 80 - (22 + 0)) + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3770 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188557114 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-174 + -5 + 3)\/((-4)\/(-18)). Let g = 447 + m. Let l be (1 - 2)\/(-4 + g\/(-87)). Which is greater: 30 or l?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*h - 111 = -788*h - 7*s, s = 25*h - 0*s - 470 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-6)\/(-9)*(-55)\/44)\/1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8870348 divided by -15\nAnswer: -8870348\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 101262*q - 106254496 = 0. What is q?\nAnswer: 1072, 49559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*c - 180*c + 786*c - 154*c - 156*c - 137*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -1 (c) 1 (d) 6 (e) 0.4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z + 4. Let n be q(-3). Let d(b) = 25*b + 25*b - 25*b - 1 + 45*b. Is d(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88) + sqrt(88))*-5)\/((sqrt(8) - sqrt(384)\/sqrt(3)) + sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481320961.\nAnswer: 227, 6525643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 147 = 3*a. Let r(o) = -98*o - 423. What is the remainder when r(-7) is divided by a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 40 = -4. Let q = -5 + o. Suppose 5*f - 25 = -0. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -0.9, 47\/5, 0.2, -3 in ascending order.\nAnswer: -3, -0.9, 0, 0.2, 5, 47\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530 and 932535.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4 - 17 + 4 - 13 + 3*n. Let w be l(8). Suppose g = -w, -3*m = -m - 4*g - 8. What is the nearest to -0.06 in 0.5, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*-6 + (1 - -2). Solve 18 = 5*c + 2*l, -5*c + 0*c + 4*l + 24 = a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196) + (-2*sqrt(196) - sqrt(196)) - sqrt(196))*-6 - (sqrt(196) + sqrt(196)*1*-2))\/(5*(sqrt(7) - (sqrt(84)*-2)\/sqrt(12))))**2.\nAnswer: 10108\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088) + 1)*4 + sqrt(1088))**2.\nAnswer: 576*sqrt(17) + 88144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 4, m: 5, y: 5, n: 3, v: 1}. What is prob of sequence in?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234776 + -149552344\/637. Let q be (-78)\/98 + (-2)\/(-2). Let b = q + n. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 smaller than 82\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g - 5. Let h be x(4). Let n = h - -10. Suppose 5*f + 25 = 5*o, -2 = -f - 4. Solve -o = -y, 12 + 11 = -2*d + n*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 5. Let t(z) = -17*z + 14. Let g(v) = v**2 + 4*v + 4. Let k be g(-4). Calculate k*t(l) + 11*w(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -9*a**3 + 2148*a**2 + 2892*a - 2880 = 0.\nAnswer: -2, 2\/3, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17841*u**4 + 21494*u wrt u?\nAnswer: -214092*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + f = 12. Let r = 66 - 328\/5. What is the nearest to 0 in -4\/3, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 3060*r**3 - 9150*r**2 - 9140*r - 3045.\nAnswer: -5*(r + 1)**3*(r + 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:34 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 400?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*r**2 + 16*r**2 + 3*r**2)*((-5 - 1 - 1)*(-1 + 1 + 2) - 2 + 2 + 1).\nAnswer: -572*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25.6 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -2 - (-12 + 10). Is (6855\/(-20))\/(z + (-26)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8008 rounded to two dps?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 5*w + 2. Suppose -4*f = b - 60, 5*b = f - 4*f + 28. Suppose -n - f = -5*n. Let g be 2 - (-3 - (-3 + n)). Determine t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26989742 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(-2\/5))\/q)**(14\/9)\/(q**0*q*q\/((q**(2\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(146\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(3 - (-7)\/((-14)\/(-27))). Suppose 0 = -61*u + x*u - 4020. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 77 + 304. Suppose -h*i = -125*i + 2. Which is smaller: i or 6\/53?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:33 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*s + 6*s. Suppose 0*j = -2*j + f - 5, 3*f = 3*j + s. Let n = 27 - j. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*v + c**3 - 269*c**2*v + 37*c**2 - 22494*c*v - c wrt c?\nAnswer: -12*c*v + 6*c - 538*v + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:52 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2496 = 56*g - 52*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 54*g + 306. Let i be k(-8). Let 0*c**i - 1\/2*c**3 + 0 + 1\/2*c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4346 - -4318. Which is the closest to 1\/4? (a) -6\/11 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62786080 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 30 - 156. Let j be 3*-2*1\/(-6). Let k be -7*(-1 + -1 - j). What is the highest common divisor of a and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/62*35\/15*(-9)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/99, -2, 1, 11 in increasing order.\nAnswer: -2, -1\/5, -1\/99, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (30\/30)\/(4\/2256) is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -687 + 650 - (2 - 40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*g + 100*g + 91*g - 370*g + 83*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*v + 7826 = -12803, 0 = 3*k - 5*v - 20626. List the prime factors of k.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 1065.\nAnswer: -8\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652.103 centuries in millennia?\nAnswer: 765.2103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1127 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1232985*u**6 + 8160761*u**2 wrt u.\nAnswer: -147958200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 63921.16 rounded to the nearest one hundred?\nAnswer: 63900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let m = -892 - -907. Is m greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685261 (base 11) in base 8?\nAnswer: 4121536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-21)*-3*1151. Let n = f - -3111. Suppose -2*i = -0*i - 5*r - n, -4*i + 3942 = r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**2 - 3*v + 6. What is p(-4)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9953?\nAnswer: 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 283\/3*u**3 - 59 + 0*u**2 + 0*u**4 + 0*u - 314\/5*u**5. What is the third derivative of f(w) wrt w?\nAnswer: -7536*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - 2 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 w when three letters picked without replacement from {i: 2, q: 1, v: 2, z: 1, a: 1, w: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t = 36*t. Suppose 12*d - 9*d = 9. Solve d*u - 12 + t = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46736 and 690.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:44 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 1, i: 1, a: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73760246 divided by 36880123.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 788769.\nAnswer: -8\/788769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102 (base 3) to base 13.\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b + 24. Let n = b + 12. List the prime factors of n\/(-6)*306\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/79056 and 131\/2928?\nAnswer: 79056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1110021121221 (base 3) to base 8\nAnswer: -2746115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41708206*o**5 + 158756*o**2 - 21*o.\nAnswer: 2502492360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(2 + (sqrt(26)*-2)\/sqrt(2) + -2*(sqrt(13) + sqrt(208) + -1)))**2.\nAnswer: -2280*sqrt(13) + 47161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 35. Calculate the smallest common multiple of o(15) and 20 + (-3)\/(3\/2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + 21 + (-1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*d + 336*d + 40 = 16*m, -2*d - 4*d + 0*d + 2*d = -4*m + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -22. Let s = 9 - -7. Let m = s - i. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 77 = m + 25, -v - 104 = -2*m. Suppose -3*k + m = k. Let g be 262\/4 - 9\/18. What is the highest common factor of g and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3364859ml?\nAnswer: 0.0003364859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -1054, -2778, -5286, -8584?\nAnswer: -12678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8761 - 8726. Solve -5*u = -z*u - 60 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2821*i**3 + 13020*i**2 - 1085*i. Let a(q) = -2*q**3 + 12*q**2 - q. What is -1085*a(z) + p(z)?\nAnswer: -651*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185198409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2. Let y(a) be the third derivative of 17*a**4\/24 - 262*a**2. Calculate y(c(v)).\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(3\/1) - -2. Suppose u*z = -5*z. Is 11 a factor of 32 + z\/2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 6*c - 5*c)*(-2*c + 2*c - c) - 3 - 2*c**2 + 3.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.05 + -15.45. Let q = i - -16.499927. What is q rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3728114 and 139152.\nAnswer: 89474736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9011769 to three dps.\nAnswer: -0.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 65, 144, 255, 398, 573?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 78, 92, 122, 174, 254, 368, 522?\n\"Answer: i**3 - i**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118 = 2111*c - 194736 - 72368 for c.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3. Let u(z) = -7*z**3 + z + 1. Let l be u(-1). Let a = -8 + l. Let k be 3 + -4 + 2 + a. Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-1*-2.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 559508 and 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-39))\/g*g**(-2\/31))\/((g\/(g\/(g*g**(2\/3))*g))\/g*g**(-2\/13)))**(2\/107) assuming g is positive.\nAnswer: g**(97742\/129363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26991b (base 12) to base 6\nAnswer: -21410035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*f + 82, -66*f + 2*j = -65*f - 6. Let x(o) = -4*o**2 + 55*o - 13. Calculate x(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 0) + -6 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b**(1\/46))\/(b**(-32)*b\/(b\/(b**(-29\/2)*b))) assuming b is positive.\nAnswer: b**(931\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -967 divided by -204765?\nAnswer: 967\/204765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -508, -1177, -2122, -3343, -4840, -6613?\nAnswer: -8662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/27 + (-2)\/(-9). Let c = 0 - f. Suppose 5*u = c*u - 51000. What is u rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, -21\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/4 + (-8)\/(-16). Let t(c) = 14*c**2 - 3*c - 21. Let g(o) = 5*o**2 - o - 7. Let w(y) = f*t(y) + 17*g(y). Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274 + 808. Suppose -5*f = 5*t - k - 586, -2*f = -3*t - 438. List the prime factors of f.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 9*c - 47)*(-1 + 5 - 3) + (-13 - 1 + 3)*(-4*c + c + 6*c).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16639 + 16635. What is the closest to -5 in -1, 64, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 12*u**2 - 2*u - 10. Let r be c(-6). Suppose -5*n - 4 = o - n, -28 = 2*o - r*n. Let j = -0.5 + -0.5. Are j and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.13315 minutes to milliseconds.\nAnswer: 727989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 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: Sort -391, 0, -4.\nAnswer: -391, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352.6 - 353. Let t(w) = -2*w - 10. Let l be t(-5). Suppose 2*p + 2 = l, 4*p - p - 3 = 2*m. Which is the closest to -1? (a) v (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 45082*g - 585729. Calculate j(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 17188*b + 9445423\/2.\nAnswer: (b - 34099)*(b - 277)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -60117 times -4.2?\nAnswer: 252491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + 4*t - 2. Suppose -20 = f + 4*f. Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17335, 60000, 131107, 230656, 358647, 515080?\nAnswer: 699955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7667 + 7699. What is the highest common factor of c and 2256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(1 + sqrt(2)))**2.\nAnswer: 200*sqrt(2) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3193*n**2. Let f(h) = 6*h**2. What is i(f(d))?\nAnswer: -114948*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 304*g - 27 + 18 to v*g + q and give v.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9230 and 3408.\nAnswer: 221520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*x**6 - x**4 + x**3 - 13*x**2 - 621.\nAnswer: 1080*x**3 - 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 4*t**5 - 4*t**5 + (13*t**4 - 14*t**4 - 10*t**4)*(-6 + 8*t + 6) + 2*t - t**5 - 2*t.\nAnswer: -88*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a - 110. Let g(k) = -2*k - 23. Determine -22*g(d) + 4*z(d).\nAnswer: -8*d + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1859 + -1854. Let d(q) = q**2 - 3*q - 7. Calculate d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from lllllllillililll.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7791, -15599, -23407, -31215, -39023?\nAnswer: -46831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.1. Suppose 4 - 13 = 3*o. Let n be 1*(0 + 2) + -2. What is the nearest to v in o, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (5 - (-31 + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 313*b**6\/10 + 11*b**4 + 1693*b. What is the third derivative of d(n) wrt n?\nAnswer: 22536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 15. Is a > 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 - 7*k**2 - 7*k. Let q(d) = d**3 - d**2 - d. Suppose -3*b = -7*b + 24. Suppose -b = -3*w - 3. What is w*i(v) - 5*q(v)?\nAnswer: v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 514 - 9*r + 13*r - 5*r.\nAnswer: -2*r + 514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*l + 532 = -12, -4*r = 3*l - 1055. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*n + 59, -6 + 94 = -4*n - 5*j. Let i = -17 - n. Suppose -3*t = -6, i*t + t = -3*y + 65. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -13 - (0 - 1)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 48 + 96 - 7*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 443*u**6\/60 + 43*u**5\/60 + u**2 + 68*u. Find the third derivative of c(i) wrt i.\nAnswer: 5316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469173443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -76582043889.\nAnswer: -76582043889.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -64. Let g = 1 - -4. Solve -g*w = -2*y - k, y + 1 = -4*w - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/18)\/((-60)\/27 + 2). Determine v so that 2\/5*v - 16\/5*v**3 + 0 + 9\/5*v**4 + v**x = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.782 * 0.3.\nAnswer: 5.3346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/3006 and 11\/18.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -612 + 775. What is the second derivative of 259 + 260 - 519 - 229*v - g*v**5 wrt v?\nAnswer: -3260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 3*b**2 + 3*b. Let t(o) be the second derivative of 7*o**5\/10 + 7*o**4\/12 + 7*o**3\/6 - o - 92. Calculate -14*i(p) + 6*t(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 375\/9*2\/5. Let j = 14 - c. Let p = j - -3. What is the second smallest value in 0.5, 5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871\/203 - 31\/7. Sort -2, -2\/3, h in descending order.\nAnswer: h, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 13) + 1 + -1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0881 + -1.08814983. What is g rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 10*r - 5. Give h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) -12\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435 - -654. Let f = -2849\/13 + j. Which is the nearest to 2? (a) -0.3 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333557458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1992532 kilograms in milligrams?\nAnswer: 199253.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 14*o = 13*o + 2, -3*c = 5*o - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (2 + -2)) + (-11 - (-43 - (-48 - -21))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532 and 792.\nAnswer: 105336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 - 30419*f**3\/2 + 29096967*f**2\/2 - 6867029053*f\/2 + 3418981253 = 0. Calculate f.\nAnswer: -31354, 1, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - 0 - -4 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11)**(-2\/69)*i*i*i**(1\/3)\/i*i*i**(31\/2)\/i assuming i is positive.\nAnswer: i**(2279\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 26. Let y = -30 - -25.2. Let k = y - 0.2. What is the smallest value in 2\/3, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875.9*4.\nAnswer: 7503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 16 - (-14 - (-25 + 9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -111 - (0 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*j + 2\/15*j**2 + 0 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -1, -5, -11, -19, -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5060\/690*((-116)\/1595)\/((-12)\/10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 38. Let u be t(-6). Put -3, u, -5 in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200001 (base 3) to base 6.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -29*j + 1239. Give z(58).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33876, 135633, 305424, 543411, 849756, 1224621, 1668168?\n\"Answer: 27*k**3 + 33855*k**2 + 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:29 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/22 - (365 - 349)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 209434*k**2 - 1711*k - 5. Let h be v(-5). Round h to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8)\/(-24) + 52\/6 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1*(2 + sqrt(300)))*3 - ((sqrt(300) + 1 + -4)*-6)**2.\nAnswer: -11118 + 2220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -20030?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = s. What is the biggest value in -1\/2, s, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 25*v + 1750. Let x = v + -19. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-3 - (-8 - -19 - 15)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 7*t - 4. Let g be v(-6). Let f(q) = -q + 3. Let x be f(g). Suppose n + x = 2*n. Solve 0 = 3*m - 2*m + n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*v**2 - 185*v**2 + 14 + 41 + 8*v + 14 + 91*v**2.\nAnswer: -8*v**2 + 8*v + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 2. Let f be (4\/(-2))\/((-462)\/44 - -10). Solve 0*v - h*v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2 + 1736*j + 82810. Let v(g) = -5*g**2 - 874*g - 41405. Let d(c) = -3*f(c) - 7*v(c). Suppose d(s) = 0. Calculate s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:24 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -168, -393, -730, -1191?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 311\/761, -2, 2\/11 in decreasing order.\nAnswer: 311\/761, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minus -203?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 0*w**2 + 0 - 8*w + w**2 + 2. Let b be t(8). Let l(f) = -f**2 - 12*f. Let z be l(-10). Solve 4*g + v - z = 0, 5*v + b = 2*g - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3896018 = -n - 2146982. Round n to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -370*z. Let k(p) = p. Calculate r(k(t)).\nAnswer: -370*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*n - 37 - 11. Put 1, -4, n in decreasing order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgvzmmmmavvmgzmvav. What is prob of picking 1 g and 2 z?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -23.023.\nAnswer: 0.69069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*s**3 - 25*s**2 - 1699*s wrt s?\nAnswer: -192*s - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/5 (b) 3 (c) -2 (d) 300 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1682.24 - 1576. Let x = 2.24 - m. Let y = -105 - x. What is the third biggest value in -11, -0.1, y?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312535769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5871425861 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:08 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5*b - 24 - 1 to the form p + s*b and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 24*o**3 + 18*o**3 + 9*o**3 to m*o**2 + q + k*o**3 + y*o and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1424 + 10520?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4265 = -597*q - 3496 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330696 is divided by 110173?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*q - 2. Let t(m) = -m**3 - 4*m**2 + 7*m - 2. Let r be t(q). Let p(g) = -g**3 - 11*g**2 + 11*g + 12. Is 24 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224140151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 762779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325)\/(-250)*(-1965)\/(-32357)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*1 - sqrt(50)\/(sqrt(10)*-3).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34446 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11. Let c = 148.9 + -142. Let k = c - 1.9. Sort h, -0.1, k.\nAnswer: -0.1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 3*g**2 + 3*g - 6. Let y(a) = -4*a**3 + 6*a**2 + 7*a - 13. Let s(o) = -9*n(o) + 4*y(o). Is s(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49237 bigger than -49245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 0.2, 0.1 in increasing order.\nAnswer: -0.4, 0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53272 (base 12) in base 2?\nAnswer: -11010101010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Solve -5*p - b = -f, -2*p - 9 - 16 = -5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 63*w**2 - 15*w - 20. Does 56 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 69. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*z = -2*z + 6, 0 = 4*d - z - 10. Differentiate 2 + 3*r - 2*r**2 - d*r - r with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*x**5 + 2*x**3*y**3 + 92*x*y**3 wrt x.\nAnswer: -880*x**3 + 12*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67713 rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748783 is divided by 635.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((3 - 0) + -3 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 162.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:21 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 71. Solve -3*c = -z*g + 2, -g + 18 = g + 5*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75639, 148182, 220725?\nAnswer: 293268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 3*k**2 + 6*k + 1. Let y(c) = 2*c - 10. Let w be y(4). Let z be b(w). Is 20 a factor of (120\/(-2))\/(z + 5 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*y - 27*y + 39935. What is the greatest common divisor of y and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2334032 - -41?\nAnswer: -2333551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 258.970111095.\nAnswer: 256.970111095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31486 and -418.\nAnswer: 131.61148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -164\/19 (b) 1\/2 (c) -5 (d) -1 (e) -48 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-8)\/(-400)). Suppose 0 = -v*k - 6142 - 14058. Round k to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 5*p**3 + 11*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 90*m**2 - 75*m - 170 = 0. Calculate m.\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001202212220102 - 100?\nAnswer: 1001202212220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 890*r - 67*r + 64657 for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -90*a + 14. Let s be w(5). Let b = s + 81533\/187. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253141, 506282, 759423, 1012564?\n\"Answer: 253141*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*d - 23, 2*d + 698*z = 701*z + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645 (base 7) in base 14?\nAnswer: -35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247565 = -51*b - 248891 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177779 or 178173?\nAnswer: 177779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - (5 - ((-104)\/(-6) - 2\/(-3))) and 51.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ullc when four letters picked without replacement from {c: 2, l: 4, u: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g + 1118. Calculate the remainder when s(-66) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 724, 1083, 1442, 1801?\nAnswer: 2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32474\/47 + 691. Which is the closest to -2\/7? (a) -3 (b) 5 (c) s (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2603 and -1183079.8.\nAnswer: -1180476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -31, 3 in descending order.\nAnswer: 86, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a + 32*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 60*b**2 + 25*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-108) - (-33)\/(-18). Suppose 0 = -4*q - 4*x - 215 + 39, 0 = -3*q + 2*x - 117. Which is the third smallest value? (a) v (b) -3 (c) -5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.163 + -0.013. Let j = m - 1.05. Are 4 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422905 is divided by 328.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*i)*(3 + 1 - 2)*(28*i**3 + 126 - 26*i**3 + 112).\nAnswer: 12*i**4 + 1428*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bab - -1?\nAnswer: 1bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473.76 millennia in years?\nAnswer: 4473760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 + t**2 - t. Let x(c) = c**2 + 9*c - 16. Suppose -4*a + 14*a = -110. Let g be x(a). Calculate v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 - x + 2. Let j be c(0). Suppose 0 + 2 = -3*z + 2*s, 3*s + 7 = j*z. Let q = 4 - z. What is the lowest common multiple of q and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1843*n**2 + 121*n**2 - 259*n**2.\nAnswer: 1705*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/210 + 226*q**5\/35 + 34201*q**4\/14 + 203852*q**3\/21 + 203401*q**2\/14 + 988*q + 1. Factor w(r).\nAnswer: (r + 1)**2*(r + 451)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.02, 4, -3, 1\/26?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*n + 8, -3*h + 4*n = 2*n - 8. Suppose 3*q - 5*q + 150 = h. Suppose -34*k - 62 = -572. Calculate the highest common divisor of k and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-28)*(h**(-21)\/h)\/h)\/(h*h**(-14\/5)*h*h**(-4\/5)))**(-4) assuming h is positive.\nAnswer: h**(988\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*j + 8, -8*j = -14*j - 3*n - 584 + 596 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11471*u + 22902*u - 11455*u - 40.\nAnswer: -24*u - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - (-11 + 11 + -12 + (0 - 9))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 0*q**3 - 3*q**2 + 2*q + 0*q**2 - 6*q. Let t be y(-3). Suppose -86*m**4 - 30*m**5 + 6*m**2 - 42*m**3 - t*m**5 - 2*m + 6*m = 0. What is m?\nAnswer: -1, -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2092 - -265?\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -20. Let i = -10 + j. Suppose -b = -i*b - 2*v + 6, -3*b = 5*v - 15. Solve 0*s + 11 = 4*k - s, 3*k - s - 8 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15474 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzz when three letters picked without replacement from yzqyyzdyyzdy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 3*p - 3. Let d(t) = 1 + t**3 + 3*t**2 - 2 + 5 + 4*t. Suppose 0 = -2*x + x + 4*b - 6, -4*x - b = -10. What is x*d(z) + 3*v(z)?\nAnswer: 2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1021176 divided by -28366\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 982 - 982 - 1211*z in the form d + t*z and give t.\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522295953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34405 - -345701.4?\nAnswer: 311296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 567, 3\/11, 242.\nAnswer: 3\/11, 242, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slsk when four letters picked without replacement from {k: 2, l: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6)*(-2)\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 54?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 345*f**2 - 3168*f + 6372 = 0. What is f?\nAnswer: -354, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 157863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 - 6*t**3 + 48*t**2 + t**3 + 2 - 47*t**2 + 3*t**4 to the form x + d*t**2 + a*t**4 + y*t**3 + z*t and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-6*(-12)\/(-80)*(-138)\/621.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9345694 less than -13?\nAnswer: -9345707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-4))\/(714\/(-544)))\/(4\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60651161 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/93 + 271\/744. What is the common denominator of l and 15\/8869?\nAnswer: 70952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87727 (base 9) to base 7\nAnswer: 331426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*o - 0*y + 2, 3*o + 5*y = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (8 + -12 + 7)) + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035 divided by 3?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (92\/100 + 2). What is the nearest to 3 in -1, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -357, 1\/6, 929\/7?\nAnswer: 929\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -20*n**2 - 3*n - 186. What is k(10)?\nAnswer: -2216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 118)\/(-5) - -2. Let c be 4 - (28\/j + (-802)\/6). What is c rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1318900 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -527560894 to the nearest one million.\nAnswer: -528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 4*a + 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 164 - -4?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 1, a: 10, u: 1, c: 3, g: 1}. Give prob of sequence cc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131968.004 - 490.676. Let t = n - -132293.68097. Let q = t - -165. Round q to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 7. Let k(l) = -9*l. What is k(o(h))?\nAnswer: 18*h - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 3:06 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12670 and 62370.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6633 + -6637.943. Round w to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:07 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 4, -4, -3, 2 in descending order.\nAnswer: 210, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -10 + (-6 - -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:46 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2029 = -10*b - 2079 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13499 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9576*b + 381 + 719 - 1100 as r + a*b and give a.\nAnswer: -9576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/13 + 54\/65. Let f = 7 - 17. Let k = f + 10. Which is bigger: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 227, 969, 2219, 3977, 6243, 9017?\n\"Answer: 254*y**2 - 20*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75991, 75986, 75981, 75976, 75971, 75966?\nAnswer: 75961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(272) + sqrt(272) - (sqrt(272) + 2 - sqrt(272))**2*1) + ((2*sqrt(272) + 2)*2)**2)*6.\nAnswer: 816*sqrt(17) + 26172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10843, -7031, -3217, 599, 4417, 8237, 12059?\nAnswer: 15883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 156\/5687, -3, 0.05?\nAnswer: 156\/5687","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let v be 2 + 2 + 2 + -5. Let s be j(v). Is 13\/s*10\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/13 + 3642*t\/13 = 0.\nAnswer: -1821, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6449590911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5157412?\nAnswer: 2, 13, 99181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -3 (c) -1\/71 (d) 0.004 (e) -2 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9915 to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -14. Solve -o - 1 = -a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (0 - (-3 + 16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -g - 2, 0*c + g = 2*c - 8. Let i(j) be the first derivative of -2 + 7*j**2 + j**6 + 6*j**c - 1. What is the second derivative of i(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 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: What is the lowest common multiple of 273265 and 4620085?\nAnswer: 198663655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*z + 90, -z - 4*k + 6 = 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 167040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -5, 23, 85, 193, 359?\n\"Answer: 2*g**3 - g**2 - 5*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + (-28 - -39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/152070974 and 67\/69123170.\nAnswer: 760354870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530120 (base 9) in base 13?\nAnswer: 23838c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55075 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485975.\nAnswer: 5, 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -97224 divided by -24306?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26058*c**3 - 20*c**2 - 10*c + 30. Let z be o(1). Is z >= 26058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x - 132 + 317 = -46 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y. Let n(t) be the second derivative of t**7\/2520 - t**4\/6 + 13*t**3\/6 + 77*t. Let d(z) be the third derivative of n(z). Determine j(d(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 12. Suppose -3*k = -g - 13, 8*k - 4*k + 2*g = 34. Suppose i - 5*f = 7, 4*i - f + 23 + k = 0. Calculate w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(0 - 2 + 3 - b)*(1195*b**4 - 2595*b**3 + 2595*b**3).\nAnswer: 1195*b**5 - 1195*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -74*t - 1675. Calculate the remainder when (0 - -2)\/((-2)\/(-184)) is divided by a(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1166280 by 12.\nAnswer: -97190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 8. Let y(x) = -571*x + 567*x - 98 + 83. Calculate -9*g(d) - 4*y(d).\nAnswer: -2*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*z - 15 + 2, s - 17 = 5*z. Suppose -o - s*o - 15 = 0. Let u = 9 + o. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:17 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92.6 in 2, 0.4, -2\/17, 0.1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5*u + 342 = 0. Is 2 a factor of ((-10)\/(-4))\/(-5) - u\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 735 = 1083. What are the prime factors of p?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000307 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 10:16 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/((-325)\/(-195)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 15. Let l(k) = -19*k + 2. Calculate l(s(c)).\nAnswer: 38*c - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-803)\/13 - (37 + -102)?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839015301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a week in minutes?\nAnswer: 94500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 0*t**4 + 0*t**3 - 2 - 3*t**2 - 1\/10*t**5 + 0*t. Let a(o) be the second derivative of w(o). Let l(x) = x. Give a(l(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15)*(-51)\/(-136)*-72?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 166*b - 167. Give t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 + -12 + (0 - -1) - -29?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) 239 (c) -0.1 (d) -25 (e) 2 (f) -0.6 (g) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 1. Let p(k) = -5*k + 4. What is -3*m(i) - p(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 5}. Give prob of sequence tt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**7\/1155 + z**6\/165 + z**5\/66 + z**4\/66 - 8*z**2 - 2. Determine l, given that s(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(c - 4*c + 4*c) + (2 + 3 - 4)*(c + 0*c + 0*c)*(18 + 8 + 14).\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 7*p + 3*p - 576*p**2 + 570*p**2 + 3*p to the form m*p + w*p**2 + t and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/7 - 6856*x**3\/7 + 2847316*x**2\/7 + 77541360*x\/7 + 511664400\/7.\nAnswer: 4*(x - 870)**2*(x + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 44 = -2*h, -s + 3*s - 3*h - 49 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9743 is divided by 88.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -25489.9065 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75) + sqrt(75) + 0 - sqrt(75))**2 + 3 - (1*(2 + -2*sqrt(75)))**2.\nAnswer: -225 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)*1 - -8. Let h = 46.559 + -51.559. Let s = 0.36 + -0.06. Which is the smallest value? (a) h (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1927, 1928, 1929, 1930?\n\"Answer: g + 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -482 divided by -9039?\nAnswer: 482\/9039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -161, -368, -657?\n\"Answer: -41*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1469 + 1468.8. What is the nearest to -3 in 5, j, 0.5, 0.17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6958 and 6370?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c, 5 = w + c. Suppose -w*g - 21 = -56. Solve 5*y - 22 + g = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 276*y - 224. Is k(4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101010010010 (base 2) to base 9.\nAnswer: 28161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 4*u + 7*u - 130.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 2. Let m = 1 + l. Let h = 8 + -13. Which is the biggest value? (a) m (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135415 + -2?\nAnswer: -135420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -2*g**5\/15 - 14*g**4\/3 + 20*g**3 - 92*g**2\/3 + 62*g\/3 + 165. Factor r(f).\nAnswer: -2*(f - 1)**3*(f + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 108905582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14343330 + -5?\nAnswer: -14343335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -208, -213, -218, -223, -228?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**2 + 471*x**2 - 187*x**2 - 101*x**2.\nAnswer: 133*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/228958 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-6762)\/184 - -1*1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6006 divided by 546?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41140 + 0?\nAnswer: 41140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4428 and 6507.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27642 - 16493. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-12)*-44*(-32)\/(-2464)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 101*o - 722. Calculate c(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllbllllllllbllllbll. Give prob of sequence bll.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 469228\/(-3*(-9)\/(54\/8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/((-5)\/(-4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 4*g + 7. Let b(u) = -2*u**3 - 5*u**2 + 7*u - 13. Suppose -1 + 29 = 7*h. Suppose -26 = -h*k + 2. What is k*o(s) + 4*b(s)?\nAnswer: -s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 13*k - 194058 + 194118 = 0, -3*w + 18 = 3*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 350?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*k + 20, -2*c + 2 - 6 = -5*k. Suppose -3*t = -c*t - 20. Let h(i) = -i**3 - i - 1. Let x(r) = -5*r**3 - 4*r - 3. Give t*h(y) + x(y).\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = -4*r, -10 + 28 = r - 4*b. Suppose -r*t + 28 = -0. Round t to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562789760 a multiple of 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 389*l**2 + 1505*l**2 + 254*l**2 to s*l + w*l**2 + z and give w.\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((f**4\/f*f*f)\/f))**(-2\/101)*(f**(1\/3)\/f)\/(f*f\/f**(1\/2)))**(-49))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 3029036697.8.\nAnswer: -3029036693.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8444*s. Let z(a) = 2*a**2 - 8. Give h(z(k)).\nAnswer: -4*k**4 + 16920*k**2 - 67616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -55. Suppose -d + 58 = 13*l. Solve 0 = -2*a - 2*s + 15 - 1, l*a - 4*s = -4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = -81. Calculate the greatest common factor of 192 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 - (-14 + 9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -14030?\nAnswer: -14025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/7, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8? (a) 4\/9 (b) -1\/8 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - w**2 + w**2)*(-1415 + 1415 - 317*w)*(0 + 0 + 1) in the form r + b*w**2 + s*w + f*w**3 and give f.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*1545\/(-28840)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133422113 (base 5) to base 3.\nAnswer: 1021211220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211620 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 f when four letters picked without replacement from {i: 6, s: 3, d: 1, f: 5}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2222 and 2323?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15893027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-85)\/(-14))*8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77, 314, 701, 1232, 1901, 2702?\n\"Answer: -g**3 + 81*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1 + 0*w**2 + 1\/3*w**3 + 0*w. Let x(k) = -24*k. Calculate x(m(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*j + 23, 2*j + 2 = -2*f - 20. Let z = f - -67. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15747306753.59043 + 15747220901. Let m = y - -85853. Let g = m + -0.41. What is g rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 63*v**5\/11 - 211*v**4\/11 + 49*v**3\/11 + 247*v**2\/11 - 112*v\/11 - 36\/11 = 0.\nAnswer: -1, -2\/9, 1, 18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = x - 1, -4*x - 3*k = 26. Let c = 14 + x. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0384509399 to 6 decimal places.\nAnswer: 0.038451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4155, -4156, -4157, -4158?\nAnswer: -4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, -5 in descending order.\nAnswer: 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + a + 5. Let n be y(0). What is m in 1 - 5 - n*m - 2 + 3*m**2 + 4 = 0?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121446477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 347 - 13*m + 36*m - 9*m - 16*m - 2*m**2 to the form s + d*m + v*m**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-8)*w))**(-2) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 349993266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 300, 312, 324, 336, 348, 360?\n\"Answer: 12*s + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15337.6562 + -15339. Let o = 1.3 + c. What is o rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 + 6*m + 25. Determine q(4).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5345196 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.00643l?\nAnswer: 1006.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1256, 1723, 2190, 2657, 3124, 3591?\n\"Answer: 467*u + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 14.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**3 + 224*d**2 - 239*d + 2764. Determine z(44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -4, 8, 0.05, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 - 9*w - 7. Let u(m) = 5*m**2 + 2*m + 1. Let o be u(-2). Suppose -2*x + o = -1. Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.35496966 + 2.3554. Round u to 6 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/3, 2\/3 in increasing order.\nAnswer: -0.5, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w + 1)*(3 + 3 - 2)*(-413 - 93 + 85).\nAnswer: -1684*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucu when three letters picked without replacement from uccuucucuucc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 37.4. Let q = -7.967 - 0.033. Let d = q + f. What is d rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11*s + 7*s = 21*s - 3*p + 6, 0 = -43*s - 4*p - 121 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31365209 is divided by 11315.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25239 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-6 - -2)\/2. Let x = -6 - -9. Solve -p + 5 = 4*y - 2*p, x*y + v*p = -25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + -6 + 89\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from ceemecamve?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 k when four letters picked without replacement from ssskkskssrskskkkssss.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -0.5. Let u = -1.8 - s. Let r = 1.5 + -1. What is the closest to 0 in 1, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101200 (base 4) in base 10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/20*(-3 + 119\/49).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 141 = 6*q. Suppose 0 = 12*x - q*x + 100. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*m = -812*m + 3*g - 18, g = -4*m + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -32*t - 43*t**3 - 5*t**4 + 24*t**2 + 32 - 85*t**2 - 41*t**2 = 0.\nAnswer: -4, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553941 divided by -3?\nAnswer: -184647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2 + 0*x + x + 276*x**2 + 0*x - 272*x**2. Let u(n) = -17*n**2 - 5*n - 9. What is 4*u(g) + 18*y(g)?\nAnswer: 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.047, -1, -5\/2, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 139*p + 97. Give r(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 3*g**2 + g - 2. Let d be q(-2). Let o = 11 + d. Find h, given that -1\/2*h**2 - 1\/4 + 3\/4*h - 1\/4*h**5 + 3\/4*h**4 - 1\/2*h**o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 450407917.8 to the nearest 10000.\nAnswer: 450410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/169 (b) -1\/6 (c) -8 (d) 4\/7 (e) -1 (f) -0.4 (g) 7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 0*k)*(23394*k - 46825*k + 23333*k - 3).\nAnswer: -98*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 7 = 6*n - 5*i, -3*n = 4*i - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 8. Let b be (-37)\/a - (-2)\/5. Let g be b*11*150000\/(-7). Round g to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.4702\nAnswer: -0.04702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1205, -712, 1, 4, -3, 0 in ascending order.\nAnswer: -712, -3, 0, 1, 4, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61204 and 506?\nAnswer: 1407692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by -1\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + u)*(4*u**2 - 2*u - 3*u**3 + 5*u**3 - 5*u**2).\nAnswer: 2*u**4 - u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.53.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 + 0*c + 7*c**4 + c + 251 - 256 in the form y*c**4 + t + d*c**2 + j*c**3 + l*c and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1963 + 2994 - 1502 - g**2 to m*g + y*g**2 + v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*t - 5*t - 107 = 0, 5*m - 6*t + 2107 - 2280 = 0 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33334017?\nAnswer: 3, 331, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13398 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 1. Let t(y) = -2*y - 1. Let o be 4 + (0 - (2 - 1)). Calculate o*t(b) + 4*d(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 1. Suppose -5*t = -3*t - 6. Suppose 8*l - 5 = t*l. Determine k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442656?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 51 = 4*f - 9, 5*i = -f + 35. Solve -w + 3*w + f = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*a = -335 - 413, 3*a + 1137 = -3*x. Let p = x + 417. Calculate the remainder when 99 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221328 divided by -7632\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a + (0 - 2*a + 0)*(-2 + 0 + 0) + 4*a - 2*a + 0*a + 0*a + 0*a + a)*(28*a**2 - 22*a**2 + 87*a**2)*(-1 + 1 + 2*a**2).\nAnswer: 930*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -79, -2, 1.\nAnswer: -79, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6 - 5*p**4 + 267893*p**3 + 4311560*p**2 wrt p.\nAnswer: -120*p**3 - 120*p + 1607358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + -2. Let b = g + 33. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - s**2 + 4*s**2)*(-s + 3*s + s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4\/51 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = -89. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -8*m**7\/21 - m**4\/3 - 11*m. Find the third derivative of p(t) wrt t.\nAnswer: -960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Which is the closest to 0? (a) -1\/8 (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 + 399. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68838 divided by 66?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 1, w: 3, y: 5}. What is prob of picking 1 y, 2 w, and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1181 + 1181. Solve 3*a = -4*g + 25, -3*g + a + 4*a - 3 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5761*u + 6656*u + 9733*u + 0 - 2*u + 0 + (-1 + 3 - 4)*(4 - 2*u - 4).\nAnswer: 10630*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*v**6 - 6*v**4 + 13*v**3 - 53*v**2 - 472.\nAnswer: -12120*v**3 - 144*v + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, 6996, 4 in increasing order.\nAnswer: -3, -1, 1, 4, 6996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 974638.7 millennia?\nAnswer: 97463870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 575*p**2 - 21*p + 20. What is the remainder when c(1) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3941 - -7058. Suppose -3*q = -3*m + a, -22*q + 18*q = -m + 1054. Is m a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737254*y**6 + y**5 - 12*y**2 + 30310*y + 5 wrt y.\nAnswer: -88470480*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012522 to five dps.\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 95 + 169 + 66 = 0. Let v(d) = -2*d**2 + 6*d - 26. Give v(z).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 + 1486 = i. Suppose -i*z - 6642 = -659*z. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52774a - -3?\nAnswer: 52774d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l**2 - 302*l - 582. What is x(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 7*q + 6. Let y be o(6). Suppose -4*h + 268 - 108 = y. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -19*o**7\/3 - o**4\/12 + 7219*o**3\/6 - 1576*o**2 + 2. What is the first derivative of l(i) wrt i?\nAnswer: -5320*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 0*f**2 + 17*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -187. Let y = p + -54. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:25 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 8*k + 14. Let u be c(-5). What is the closest to -2 in 2\/13, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10966802 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 + l**4\/8 - 2*l**3\/3 + 19*l**2. What are the prime factors of i(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + (-2)\/56. Let o be (-9)\/12*1\/(-3). Factor -o + w*x**2 + 0*x.\nAnswer: (x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0712071028 + 0.02259?\nAnswer: -0.0486171028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14051090 or -14051088?\nAnswer: -14051090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 141.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 467897*f**2 - 2*f + 43087 wrt f?\nAnswer: 935794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 21*i - 51. Suppose -i = -3*r + 13. Calculate the highest common factor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 383*x**3 - 3*x - 761*x**3 + 1 + 3*x**2 + 379*x**3. What is y(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632019928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 150733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 15. What is w(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - 33*a - 11. Let f be q(-5). Solve -17 = -4*z - 3*o, 0*z - 22 = -5*z - f*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 0, 2 in descending order.\nAnswer: 13, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8527 and 0.2.\nAnswer: -8526.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905132 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 80 + 25 = 0. Suppose -2767 = -i*p + 280. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + n**2 - 13*n**2)*(-4 + 0 + 0).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -45?\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w\/(w\/(w\/(((w\/((w\/(w*w*w**(-15)*w*w))\/w))\/w)\/w)*w)))\/w)\/w*w)*w*w**(-6\/11))\/((w*w*w**(-2\/3)\/w)\/((w*w**(-10))\/w*w)) assuming w is positive.\nAnswer: w**(-689\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12255587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18415 + -13148. List the prime factors of a.\nAnswer: 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 15. Let o(x) = -7*x + 14. What is 5*m(j) - 4*o(j)?\nAnswer: -2*j + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100110101101 + -1011?\nAnswer: 1001100110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7566897*u**2 + 30048672*u.\nAnswer: -15133794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 + -225. Suppose k + 23 = -4*b, -n*b + 5*k + 0 - 5 = 0. Let r = -1.3 + 0.3. Put -21, 2\/21, b, r in decreasing order.\nAnswer: 2\/21, r, b, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54089560 by -41768.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*s = 5*s + 4, 3*x = 2*s + 17. Solve 2*i - 25 = x*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-91)\/(-65) - 3287\/(-95). What is the greatest common divisor of 5058 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -7*v**4 - 666*v**3 - 2609*v**2 + 2730*v = 0?\nAnswer: -91, -5, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvmpme. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5862 - 462 = -186*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 12*f + 25. Suppose a - 6*a + 5 = -k, 5*k - 3*a = 41. Let t be n(k). Factor 292*z**2 - 296*z**2 + t*z + 3*z.\nAnswer: -4*z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5021036?\nAnswer: 2, 1255259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7056)*2)\/(sqrt(567) - (sqrt(567) + (sqrt(567) + -1*sqrt(567) - sqrt(567) - sqrt(567)))))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/19 + 20392*u\/19 + 40776\/19 = 0.\nAnswer: -10194, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -19.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 + 49 + (-41 - 99)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -2.9 (c) 5 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1463192 - 6*g**2 - 5*g**2 - 1463192.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 9. Let h be x(-5). Suppose h*v + 11 = -9. Let p(l) = -l**3 - 5*l**2 - l. Let n be p(v). Is n greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5.5. Suppose -18 = l - 3*o, 1 = -4*l + o - 16. Let y be 4\/(-16) + (-33)\/(-36). Which is the smallest value? (a) d (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/11 - 157706*k**2\/11 + 3108976656*k\/11 - 3108818952\/11 = 0.\nAnswer: 1, 39426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**5\/5 - 3*w**2 + 7. Find the second derivative of z(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 27 + 0 - 3*l + (3*l + 3*l - 4*l)*(4 - 5 + 3) - 3*l - 7*l + 5*l.\nAnswer: -4*l + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1637402?\nAnswer: 1637402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + c)*(-4 + 2*c + 4)*(3 - 2 + 0) + 2*c**2 - c**2 - 3*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5 + 15212*d**4 + 735784*d**3 = 0.\nAnswer: -3754, -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221012122 (base 3) to base 6.\nAnswer: -452112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 2. Let i(z) = -z + 1. Let f(r) = 4*i(r) - k(r). Let u be f(2). Suppose 2*j + 746 = u*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -2*g + g - 11*a + 22*a, 0 = 4*g + 3*a - 44 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 661767\/2563 - 1021\/233. Let y = p + -254. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 4 + 1 - (sqrt(272) - (1*sqrt(272))**2).\nAnswer: -3*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 2*u - 1. Calculate the remainder when a(-4) is divided by (8\/12)\/((-4)\/(-54)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 78*j - 76 = 0 for j.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1570216088 - 0.5.\nAnswer: -3.6570216088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242004 (base 6) to base 5.\nAnswer: 1134142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjfy when four letters picked without replacement from fppyaapywpjfp?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwwivwvwvvvviivw. What is prob of sequence wvw?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in -5\/8, -21, 7496?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 12. Let u(j) = j**3 - 16*j**2 - 258*j - 62. Let y be u(26). What is w(y)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1251630535 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwoeoeoveqwobevww. What is prob of sequence vowo?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.864664um?\nAnswer: 0.0000864664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1, 2\/13, 0.107 in increasing order.\nAnswer: 0.107, 2\/13, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229228233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -15.3. Let y = -153 - -118. Let r = -30 - y. Which is the third biggest value? (a) -2 (b) p (c) r (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46589.85 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 21. Let t be ((-1)\/1)\/(v\/(-320)). List the prime factors of 66\/(-4)*t\/30.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12510)\/(-170136))\/((-20)\/32)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let q(o) = -10*o**2 - 11. Determine q(i(s)).\nAnswer: -10*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 2. Let f be d(0). Let h(w) = w - w**f - 8 + 11*w + w - w. Is h(8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 273. Let v(u) = 6*u - 821. Calculate -8*r(b) + 3*v(b).\nAnswer: 2*b - 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1938 - 1939. Sort 5, 6, a, -7 in descending order.\nAnswer: 6, 5, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 73 = 21*t. Let f = -1 + 1. Suppose t*s + 4*d = -f*s + 74, 0 = s - 2*d - 29. Calculate the smallest common multiple of s and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*f = -105690, 2*d + 244*f - 211391 = 243*f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 + 11\/(-2). Let c = n + 5. Let k(o) = 2*o + 16. List the prime factors of k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45456008 and 240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 3, u: 1, f: 3, r: 3, k: 8}. Give prob of picking 2 k, 1 u, and 1 j.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + -6 + (-22 - -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -929\nAnswer: 371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6610)\/439565 + 16357\/(-133)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1178\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11226 - 3747 - 3745 - 3734 - 19*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 12. Determine l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 75 + 22\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7*c - 20. Let g be -17*(-3)\/12*c. Solve 4*k + k = -3*d - g, 3*d + 13 = -k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 184, 356, 526, 694, 860, 1024?\n\"Answer: -g**2 + 175*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 87*s**2 + 13*s + 29. Let o be l(-2). What is the greatest common divisor of 27 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47 and 2163692.\nAnswer: 2163692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -292, -309, -342, -397, -480, -597?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 23400*s + 68445000.\nAnswer: 2*(s - 5850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12493*j + 187402. Calculate m(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q + 44*q = -41*q - 480 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -279\/283, 4\/3, 3?\nAnswer: -279\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1307456.\nAnswer: -78447.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-9 - -10) + (-348)\/346)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 2*u - 3. Let b be o(3). Suppose -b = -2*y - y. Suppose 0 = -67*t + 367 - 32. Solve 0 = 2*s - y + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/13523092 and 69\/2020.\nAnswer: 67615460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7399825*d**3 + 7181724*d wrt d?\nAnswer: -44398950*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 + (-216)\/(-728)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 3, d: 3, j: 1, g: 3}. Give prob of picking 3 g and 1 v.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 49863*g**3 - 7168*g - 24934*g**3 + 1508*g + 0*g**2 + g**2 - 24928*g**3 in the form m*g**3 + z + k*g + i*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 65 + 21354*t**2 - 21354*t**2 + 6*t**3. Let i(f) be the first derivative of f**2\/2 - 1. What is i(u(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k**2 + 3*k + 3. Let r(b) = 12*b**2 - 2*b - 2. Let f(a) = -2*m(a) - 3*r(a). Let c(s) = -4*s. Give c(f(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 398, 471, 584, 737, 930?\n\"Answer: 20*c**2 + 13*c + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:11 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3058 - 0.3057995537. What is f rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i**2 - i + 0*i - 18 + 48)*(-2*i**2 + 3*i**2 - 3*i**2) as n*i + t*i**3 + y*i**2 + b + f*i**4 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y - 159. Let k be b(-5). Is 19 a factor of -1*(3 + 1)*(k + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 4}. Give prob of sequence jw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*d*j**2*t + 229209*d*j**2 - 9*d*j*t - 4*d*j - 2*d*t - 8*d + j + 34*t + 2 wrt j?\nAnswer: 284*d*t + 458418*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 6388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2390 - 14*u**2 + 4*u**2 + u + 18*u**2.\nAnswer: 8*u**2 + u - 2390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 513 = 4*f. Suppose 4*y - 38 = 3*y. What is the greatest common divisor of y and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o. Let b(f) = f. What is b(d(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*u - 24210 - 2967 = 45719 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j - 1. Suppose -h = -6*h - 15. Let n be d(h). Solve 0 = 2*b + 3*i - 13, 4*b - n*i + i = -9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j + 855 - 420 - 2*j**2 - 425 + j**2. What is l(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 108 + 15. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34705 is divided by 771.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 5, z: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4980, 4816, 4650, 4482, 4312?\nAnswer: 4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94 (b) -2\/5 (c) 10 (d) 28\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13174*s**3 + 13170*s**3 + 13148*s**3 - 39499*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -13. Solve 4*y = -2*a - r - 0, 5*a + 10 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36844 (b) -280 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*o + 28, -f + 2*o + 8 = -5. What is the smallest common multiple of 35 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-162)\/8. Let b be (10\/(-2))\/((-4)\/r). Suppose 3*o - b + 1 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u - 1. Let y(d) = 4*d**3 + 3*d**2 + d + 3. Let x(i) = -3*r(i) - y(i). Find the second derivative of x(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36779*h**4 - 1173*h**3 + 6*h**2 - 44*h - 17451 wrt h?\nAnswer: -882696*h - 7038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oolbolbolboolobulb. What is prob of picking 1 o and 2 b?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1064 and 72352?\nAnswer: 72352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 27943 = 42207. Suppose 0 = -9*y - 2879 + f. List the prime factors of y.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -2*x + 94. What is the highest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63992439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + -76. Let s be ((-1230)\/(-25))\/((-42)\/r). Calculate the greatest common factor of 123 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + s + 1. Let l(h) = 6*h**3 + 3*h**2 + 21*h - 3. What is -l(p) - 3*z(p)?\nAnswer: -3*p**3 - 24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6334765l to millilitres.\nAnswer: 633.4765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 7, -230 in decreasing order.\nAnswer: 7, 3, -1, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -0.90449160416?\nAnswer: 0.96449160416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20749966+35\nAnswer: -20749931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 353660882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from {h: 3, l: 12, f: 3}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - -3 - (2 + 0). Let c be -2*4\/m + 21 + -1. Which is smaller: 23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (82\/10)\/(3\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h**2 - 109*h - 13. What is z(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2 - (-18)\/10). Suppose i - j*z - 3 = 10, 0 = 5*i + z - 39. Suppose 112 = i*l - 6*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*v**4 - 8*v**3 - 700*v**2 + 200*v.\nAnswer: 4*v*(v - 5)*(v + 5)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7029012 and 6460.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5988471333?\nAnswer: 3, 13, 153550547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11720 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 191*i**2 - 93*i + 1433. Is u(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 65, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t + 20078 = 414*t - 8330 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*t + 109 - 238 + 93, -3*i + 42 = -3*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k**2 + k + 1. Let r be 4 - 10*(-3)\/(-6). What is the remainder when 59 is divided by z(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211337317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {a: 2, o: 2, m: 1, b: 2, f: 3, u: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9683*g**2 - 6*g**4 - 60*g**3 + 9683*g**2 + g**4 + g**3 - g**3 + (-5 + 2 + 1)*(-3*g**4 + 3*g**4 + 2*g**4))*(1 + 2 - 5).\nAnswer: 18*g**4 + 120*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:40 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/28 - (522 + -528).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -179\/2. What is the closest to j in -7, -0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r + 3*i, 0 = -3*r + 5*i + 8. Does 3 divide (r - 0 - 1) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -92.0178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*v - 34941 - 3237 = 67662 for v.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:28 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a + 2. Let x = 285 + -290. Let z(j) = 10*j + 2. Let u(l) = x*z(l) + 6*c(l). Let s(r) = -7*r - 1. Determine 7*s(w) + 5*u(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -213, -512, -859, -1254, -1697?\n\"Answer: -24*s**2 - 227*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1348 (base 10) to base 16\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-312)\/(-36)*(-2 - 1). Let q = -22 - d. Solve 0 = q*u - u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7 and -32\/635133.\nAnswer: 4445931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 38478 * 34\nAnswer: 1308252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-504)\/84 + (-2 - 1) + 0. Let z(w) = 62*w**2 + 16*w + 29. Is z(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/10*(-171512)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1358 - -13781.8642. Let t = o + -13831.043. Let k = t - -49. What is k rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096892 is divided by 47690.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2202*m = -2195*m - 105 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - a + 2 - 0, 0 = -2*s - 2*a + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:15 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 150000. Let h be 0\/1 + 6\/3. Suppose r = -3*x - h*x. Round x to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = 3*s - 56*x, 2*s = 668*x - 672*x + 10 - 52 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7707 - 8330. Which is the smallest value? (a) 5 (b) p (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-12))\/((-10)\/((-110)\/(-3))))\/((-3)\/2)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 + -11ba8c?\nAnswer: -11bb32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153105617 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: Suppose -2*v = 4*i - 20, -41*i + 2*v = -38*i - 1. Solve -5*f - 2*j + 0*j = 19, -i*f + 1 = -5*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:16 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 306, 2041, 6458, 14805, 28330, 48281?\n\"Answer: 208*v**3 + 93*v**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from bwbbckfcbbkb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 78*i - 204. Let u be k(6). Solve 5 = 5*d, u = -5*q + 3*d + 56 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 37\/5) + (-1)\/(-1). Which is the nearest to 8? (a) u (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-42))\/(328\/(-32)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/2)\/(2\/(-9)). Suppose 11*x - 16*x + 15 = 0. Suppose -x*c + u = 4*w + 2*c, -2*w + c = -50. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8424456 and 428?\nAnswer: 901416792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/2 - 1073*p\/2 - 5841 = 0.\nAnswer: -1062, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92680005 and 2805?\nAnswer: 92680005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 33\/302?\nAnswer: 33\/302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 + u + 3. Let h be b(0). Suppose 3*i - 20 = 2*m, -9 + 59 = -5*m - h*i. Let t = m - -21. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*c - 15, -4*b = -b - c - 15. Is b\/((-15)\/9) - (3 - 27) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*c + 17, -69 = 6*p - p - 10*c + 11*c + 44 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -52. Suppose -5*b + 3*p - 7*p + 269 = 0, 0 = -b - 5*p + 58. Let z = -49 + b. Sort -3, z, 3, d.\nAnswer: -3, d, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6624709918.\nAnswer: 2, 23, 37, 3892309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21438.07 + -21324. Let l = -115 + m. What is l rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 26. Let w = 239.56 - 244. Let y = v + w. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmf when three letters picked without replacement from mmdmmfmmmdmmmmdmm.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43980 and 1345788.\nAnswer: 6728940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (7 + -11 + -4 + 3) - 6\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 2. Let r be o(2). Let b be 3\/((-4)\/(-100) + r). Suppose 0 = 11*y - 14*y + b. 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 q(m) = -20*m - 1. Let z be q(-1). Let v(f) = -z*f + 15*f**2 + 15*f + 10*f + f**3 - 9*f**2. Let d be -2*(3\/2 - -1). What is v(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -16. Let i = z - -18. Let n be i + 1 + 20\/(-5). Solve 2*r + n = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let m be ((-60)\/(-18))\/(3\/(-9)). Let q be ((-190)\/99)\/m - (-6)\/(-27). Is q smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 4128562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 64 (b) -2\/9 (c) 0 (d) -5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/5 + 6*z**4\/5 + 14*z**3\/5 - 14*z**2\/5 - 36*z\/5 - 16\/5 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112259035 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12560 = -113*z + 741*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:18 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045722 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Let k = -3 - -7. Let m(r) = 10*r - k*r + 0*r. Give m(v(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.2 - 27.864. Let z = 2.2 - m. Let j = z - -0.245. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.249313 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985272717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 5*w**4\/12 + w**2\/2 - 63*w. Suppose 1 = -17*t + 18. What is p(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7 = 2*g - 6, g = 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1633*u - 159*u - 2301*u as y + f*u and give f.\nAnswer: -4093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*j + 32 = 9*j, 2*j + 28 = 4*w. Let g be (-6)\/w*16\/24. What is the closest to g in 0.4, -1\/3, 0.05?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(432) - (sqrt(432) + sqrt(432)*-1 + 2) - sqrt(432)) + 3 + (sqrt(432) + (sqrt(432) - sqrt(432)*-2) + sqrt(432) + 0)*-4)*-4*1.\nAnswer: -8 + 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1992378 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3552 (c) -2.0828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 32 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (392\/(-32) - -9). Is (50\/5)\/(r - (-26665)\/8885) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:53 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 67\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 19 (b) -0.2 (c) -2\/15 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*w = 87, -3*k - w - 33 = -4*k. Let j(v) = 5*v + 2. Let g be j(8). Calculate the greatest common divisor of g and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2990 = 4*s - 3110, s - 2 + 4 = 2*s - 2 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*j**2 + 172*i*j - 129*j**2 - 2*j wrt j?\nAnswer: -2*i - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 15*z**2 + 13*z + 8. Let o be f(15). Let n = 292 - o. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -p + 13, 5*r + 3*p = 2*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(486))\/(sqrt(27) - -1*sqrt(27)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 5*u + 24. Calculate the smallest common multiple of f(0) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-26))**2 assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -311012.\nAnswer: -311012.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:42 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -35147859, 1 in ascending order.\nAnswer: -35147859, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -223?\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2 - f + 4. Let g be u(4). Let w = -0.0411 + 0.3411. Which is the closest to 0.2? (a) w (b) g (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35340 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4\/3 (c) 25 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 = 0, 14*r - g - 39 = 23*r + 49 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.491514609582147 and 0.2?\nAnswer: 0.291514609582147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 3885 = -s. What is the remainder when s is divided by 236\/20 + 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/35 + (-114)\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 477, 980?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 70*p + 26. Let h be s(-18). Let k be ((-15)\/h)\/(7\/126). Solve k = -3*r + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 922, 1822, 2734, 3664, 4618, 5602?\n\"Answer: s**3 + 893*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 978 - 987 = -4*w, 3*w - 5*z + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -54752?\nAnswer: 7\/27376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*i - i, -2*d = 2*i + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -83, -1, 5, 3391 in increasing order.\nAnswer: -83, -2, -1, 5, 3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1223 - 557*t**2 + 1223)*(t**2 + 3*t**2 - 5*t**2).\nAnswer: 557*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 4*c**2 + 3*c + 5. Suppose 5*f + 4*v = -28, 2*f - v = f - 2. Let q be a(f). Let k(p) = -p**3 - 7*p**2 - 2*p - 7. What is k(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514254770 to the power of 1\/2, to the nearest integer?\nAnswer: 50142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -3497*p**5\/60 - 483*p**2 + p. Let c(a) = a**2. Calculate c(w(m)).\nAnswer: 12229009*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*1)\/((-2*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7) + sqrt(11)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let b be -2 + ((-4)\/(-26) - -2). What is the third smallest value in 2\/7, b, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/328 and 97\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 65. Let m be ((-145)\/(-464))\/(z\/(-4)). Is 2 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.24 - -0.24. What is the closest to -0.2 in m, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 + -190. Let v be (-848)\/(-14) + (-16)\/s. What is the greatest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 3*b)*(-5 + 2 + 1) - 2*b + 2*b - 2*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*u + 31 + 31 - 263 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -1, -9 in increasing order.\nAnswer: -10, -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 8. Let q(b) = -4*b - 9. Let x be q(3). Let g = x - -16. What is the remainder when 19 is divided by c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 90 = -0*k - y, -5*y - 365 = -4*k. Calculate the remainder when k is divided by 327\/15 + (-2)\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*o**3 + 53*o**3 + o**3 + (1 - 1 - 2*o)*(5*o**2 - 2*o + 2*o).\nAnswer: 77*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.469118 + 1.070108. Let y = 10.4 + c. Round y to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151969?\nAnswer: 307, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 154\/8 - (-7)\/(-28). Calculate the greatest common factor of 152 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**7\/70 - h**5\/60 + 163*h**4\/12 + 4469*h**3\/3 - 2*h**2 + 383*h + 1. Find the first derivative of o(d) wrt d.\nAnswer: -12*d**3 - 2*d + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 486\/(-162)*(6\/8)\/1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 + 793*v**3 + 1585*v**2\/2 - 793*v - 3171\/4 = 0.\nAnswer: -3171, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 358782019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116010 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1582921008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61470407953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6538.4167 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygyggg. Give prob of picking 3 y and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = 28. Let v(q) = -61*q**2 - 6*q - 62*q**2 + 3 + 122*q**2. Calculate v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -12022?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 1 + -48 + (73 - (14 - -25))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - (-1 + 0 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:38 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121041 (base 5) in base 6?\nAnswer: -433335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 30. Suppose -2*o - 2*y = 10, -3*y = -3*o + o + q. Suppose o = p - 10. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**19\/l))\/l**(-14))\/(l**(-2\/7)\/(l*l**(2\/53))) assuming l is positive.\nAnswer: l**(-622\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 210 - 103 - 117. What is v(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let g be y(4). Let v = 9 - g. What is the greatest common divisor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130, -144, -180, -250, -366, -540, -784, -1110?\n\"Answer: -2*y**3 + y**2 - 3*y - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 4 + 4 + (1 - 4 + 2)*(1 - 1 - 4*v) - 2*v - 2*v + 5*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = -2*y. Let f be (y - -4)\/((-6)\/(-27)). Let u(p) = -2*p**2 - 13*p - 9. Let s(k) = -k**2 - 6*k - 4. Give f*s(z) - 4*u(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**5\/25 - r**4\/10 - 61*r**3\/3 + 153*r**2\/5 + 6358. Solve q(a) = 0.\nAnswer: -17, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -52*p - 50. Suppose -39 = 2*q - 23. What is the units digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17*u - 3. Let v be t(-4). Let i = 119 + v. Suppose 2*w - i = -3*a, -7*a - 6 = -4*a. What is the remainder when 80 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 54907872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.2004485 months?\nAnswer: 0.0100037375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose 4*b - l = 10, 0 = 4*b + 3*l + 2*l + 2. Suppose t*f - b = -f. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2876 rounded to one decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 29*p + 157. Let g be f(7). Determine z, given that -5\/2*z**2 - 3\/4*z**g + 2 - z = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 243\/302 (c) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20647 + -7489. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*c**3 + 2187 - 891*c**2 - 16*c**4 + 1\/2*c**5 + 2187\/2*c = 0.\nAnswer: -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43770353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(98) - (sqrt(98) - (sqrt(98)*3 + 5)))*-6*-4 + 1.\nAnswer: -1512*sqrt(2) - 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 14*x = 12*x - 10, 4*a - 10 = -2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 37501*z**4\/12 - z**3\/2 + z**2 + 16*z. Let s be l(1). Round s to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-13\/5)))\/(r\/(r*r**(-27))) assuming r is positive.\nAnswer: r**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*w = 26, -2*g - 2*w + 3*w - 11 = 0. Let b be 29\/8*(-12)\/15 - g. Put 0, 0.3, b in descending order.\nAnswer: 0.3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 707741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8893196 and 2548?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/304)\/(1407\/4020)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7658 - 7658 + 114*k + 15342 to the form h + g*k and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3112709177412\nAnswer: 3112709177408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4229, 8442, 12655?\n\"Answer: 4213*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243246119 to the power of 1\/2, to the nearest integer?\nAnswer: 15596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/138247919 or -1?\nAnswer: -14\/138247919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 267 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h + 12. Suppose 0 = -o - 6. Let m = 6 + o. What is the tens digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-four fifths of a millennium?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d + 10. Let j(z) = -z**2 - 8*z + 7. Let u be j(-9). Let w(q) = 28*q - 10. Let v(h) = u*w(h) - 3*p(h). Is v(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 55*c**3 + 46403*c - 46403*c in the form n*c**2 + i*c + g + h*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/12 - 5*x**3\/6 + 5*x**2\/2 + 2*x. Let v be -225 + 231 + 4\/2 + -2. Give s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4552.5975 to 0 dps.\nAnswer: -4553","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 + r + 2. Let h be d(2). Let j(k) be the first derivative of h*k**2 - 1 + 1\/3*k**3 + 0*k. Let i(l) = -l**2. Calculate i(j(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*n**3*q*y**3 - 3*n**3*q*y - 7*n*q**3*y**2 + 2*n*q**3 + q**3*y**3 - 2*q**2*y**3 - 7*y**2 wrt y.\nAnswer: 780*n**3*q + 6*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.5. Let j = 30.9 + 233.1. Let d = j - 264.4. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 10*u - 10. Let c be x(8). Let v = -40 + c. Let o = v - -94. What is the least common multiple of o and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -48. Let w be 8\/a*(-22 + -2). Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197 and 68293202?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117440 and 480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1390301)\/(-21340) - 9\/60.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -2005, -0.5, 2\/5, 10\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*l**2 + 451 - 104*l**2 + 555*l**4 + 61*l**2 wrt l?\nAnswer: 2220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 3*a - a. Let p(q) = 7*q - 6. Let u(b) = -b + 1. Let y(o) = p(o) + 6*u(o). Let d(x) = 2*x**2 - 2*x - 9. Let v be d(3). Give v*y(i) + 4*l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12209 divide 1762755974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:03 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9538 = -25*v + 8962. Calculate the remainder when v is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*c + 3 + (c - 2*c + 0*c)*(4 - 4 - 1))*(5*c - 9*c + 15*c) in the form a*c**2 + n + v*c and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**11*r)*r*r*r*r**(-2)*r*r*((r*r\/(r**(-4)*r))\/r*r)\/(r*(r**(1\/5)\/r)\/r))**32 assuming r is positive.\nAnswer: r**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*k**4 - 2*k**3*s - 2*k*s - 28*s wrt k.\nAnswer: -44*k**3 - 6*k**2*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((130\/(-260))\/((-9)\/1818))\/(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 7*u + 8. Let x(h) = 9*h**3 + 2*h**2 - h - 2. Let y be x(-1). Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109689.4 - 2936.\nAnswer: -112625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236613 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*q + 27 - 9, 2*d = -2. Solve 5*k + 22 = v, -7 = v - q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.215 + -0.249. Let t = 0.0340564 + p. Round t to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -138. Let v = c + 82. Let n be (-80)\/20 + 2\/1 + v. Solve 0*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**2 + 608*q - 9508. Give n(54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/9 + 6694*a**3\/9 + 13382*a**2\/9 + 2230*a\/3 = 0. Calculate a.\nAnswer: -3345, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from vvlvvlvdlpdplmv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-116)\/(-58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -342*t - 2466. Calculate y(-7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1096952d + 3?\nAnswer: -1096952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 19. Suppose 5*r + 5*q - 55 = 0, 2*r = -q - 3*q + a. Which is bigger: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1539)*-1*-4 - (sqrt(1539) - (sqrt(1539) + -2 + -5 + sqrt(1539)))) + -3)**2 + 3)*6.\nAnswer: -5400*sqrt(19) + 231474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*d + 7 + 2 - 34*d with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.08, -15, -264\/13 in descending order.\nAnswer: 2\/13, 0.08, -15, -264\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 2*x**3 - 3*x**2 + 9*x - 3. Let y be j(-7). Suppose q = 5*f - y*f - 362, 5*q = 2*f - 263. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0498 - -2.9502. Which is the second smallest value? (a) 1\/4 (b) -24 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26532420 + -5?\nAnswer: -26532425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 51*t**2 - 10*t + 863. Calculate s(25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -503856 and -503855 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 8*j**5\/5 + 4*j**2 - 7. Find the second derivative of b(c) wrt c.\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/9*15\/(-20) - -5. Calculate the lowest common multiple of 25 and ((-15)\/(-25))\/(i\/75).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1682*l + 427. What is the tens digit of c(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2401, -9165, -20423, -36163, -56373, -81041, -110155?\n\"Answer: 2*m**3 - 2259*m**2 - m - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1135 - 90 = 68*w + 6239 + 1538 for w.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-58 - -44 - (-8 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2. Let q(k) = -29*k**2. What is l(q(b))?\nAnswer: -1682*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -51. Which is the second biggest value? (a) -2 (b) t (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/25)\/(1\/2). Which is the third smallest value? (a) q (b) 0.4 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m = 51*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65605, 65712, 65851, 66022, 66225?\nAnswer: 66460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - 0\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/5, 2\/3, 1920?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14693059 is divided by 832?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.166 - 0.122. Let r = y + -4.3. What is r rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268.7999998307 + 268.8. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.362006 + -30\nAnswer: -29.637994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = m - 26*k - 10, 5*m + 4*k + 8 = 0. Solve m = -11*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.986 - -25. Let o = 2.914 - k. Let v = 2.90000009 - o. Round v to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 20721, -5, -1 in descending order.\nAnswer: 20721, 7, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5, 2 in increasing order.\nAnswer: -5, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 3\/2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167684 is divided by 1215?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.04 - 0.04. Let j = -26.978 + 0.978. Let l = j + s. Sort l, 4, -0.4 in ascending order.\nAnswer: l, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + s)*((-1 + 2 + 0)*(-2 + 5 - 2) - 4 + 2 + 1 - 7 + 2 + 4 + 7 - 1 - 3)*(0 + s**2 + 0).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)\/(w\/((w**(3\/8)*w*w)\/w)))\/(w**13\/w*w**19) assuming w is positive.\nAnswer: w**(-239\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - 3409?\nAnswer: -3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15719 is divided by 1700.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -12002?\nAnswer: 11442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by -4.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 + 1068 = -389*f - 848 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080638 rounded to 5 decimal places?\nAnswer: -0.00806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21234 divided by 3\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 u when four letters picked without replacement from uuqqqqoouu?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y + l - 16, 4*l = -4*y + 36. Let o = -75 - -115. Calculate the remainder when o is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 38 = 164. Suppose -3*t + 12 = -3*r, c*r = -t + 3*r. Let s(w) = -3*w**2 + 7*w + 1. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-28) + 189\/882. Let f = -411 - -7805\/19. What is the biggest value in f, c, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/8 - 3*h**2 - 2. Let b(r) = 42*r. Calculate b(j(w)).\nAnswer: -126*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 35 = 5*m + 5*s, 3*s = -5*m + 43. What is the least common multiple of (4\/2)\/(-2)*-1 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 934106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -23, -34, -45, -56?\n\"Answer: -11*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/11 + 83\/99. Let f = 1 - 0. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 + 20*a**2 - 17*a - 105. What is i(-5)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -325017 greater than -325020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2 + 2)*(-3 + 2 + 0) + 9*t + 4*t - 3 - 11*t.\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*45 + (-174)\/116. Solve 0 - l = 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 383485 = -33*j + 28*j, 5*j = 3*i + 383485. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/55*((145 - 20) + 30)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 2. Let g(b) = -3*b - 1. Let c(y) = 3*g(y) - 2*r(y). Let z(w) = w**3 + 2*w**2 + 9*w + 66. Let f be z(-4). Determine c(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**5*s + g**4*s - 14*g**3*s + 185*g**2*s wrt g.\nAnswer: 240*g**2*s + 24*g*s - 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 8*d**2 - 14*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6717675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1\/120*i**6 + 7 + 0*i**5 + 1\/8*i**4 + 2*i**3 + 0*i + 0*i**2. Let n(g) be the third derivative of w(g). Factor n(o).\nAnswer: -3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327432000?\nAnswer: 2, 5, 73, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -17*l + 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 54292 = -4*w, 2*w + 1 = -3. What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o**2 - 3*o + o**2 - o**2 - o**2 + (o - 2*o + 2*o)*(o + 2*o - 5*o) + (-o - 3*o + 6*o)*(2 - 5 + 0)*(3 - o - 3).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + -2 + 118 + -3.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, x: 4}. What is prob of sequence xx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*s = 0, r + 93*s = 88*s + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22292777 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -13*y + 17*y. Suppose y*r - 41 = 3*c, 5*c - 11 = 3*r - 6*r. Suppose 0 = t - 3*t + 52. Calculate the remainder when t is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnokko. What is prob of sequence nh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -127420\/43, 3, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, -3\/4, -127420\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 - -15.89. Let x = w + -9. Let d = -11 + x. Which is the second biggest value? (a) 0 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - f + 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-8) - 1\/(-2). Suppose -2*j + 5*f + 52 = 0, j + 0*j + q*f = 4. Suppose 5*h - 9 = j. Is 1\/2 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - (1 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -7*b**6\/30 - 5*b**3\/6 + 581*b**2\/2 - 13*b + 70. What is the derivative of o(c) wrt c?\nAnswer: -28*c**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-54 - (-89 - -28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 57 + 57, 0 = -2*l + 3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = w - 35, i + 4*i + w = 159. Suppose -4*d + i = -v - 4*v, 4*d - 7 = -3*v. Suppose 3*z + 25 = 2*y, 0 = d*y + z + z - 42. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 7)\/(4\/(-2)). Suppose d = -5*u + 12 + 38. Let c(n) = -n + 13. What is the units digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Let p(r) = 2*r**3 + 28*r**2 - 6*r - 4. Let v(t) = 3*t**3 + 49*t**2 - 12*t - 9. Let x(b) = 5*p(b) - 3*v(b). Determine x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3)*(-45)\/(-25))\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:56 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 54. Determine z(15).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -665 + 670. Solve 2*j + 0*j + 13 = t*s, -5*j = 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27a8320 (base 11) to base 13\nAnswer: -1000678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108.07 - -108.37. Which is the nearest to -0.044? (a) -4 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*u + 2, -8*u = -3*u + 4*j + 11. Let i be u + 2390 - 8\/4. Let s = 789 - i. Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 2*s + 229, g - 5*s - 55 = 0. Let z = g - 25. Suppose 2*f + 2 - z = 0. What is the remainder when 26 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42090, -67694, -93298, -118902, -144506?\n\"Answer: -25604*b - 16486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.639684 * 0.05.\nAnswer: 2.7319842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*d = 9*b - 14, 0 = -3*b + d + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 37*z**4\/3 - z**3\/3 - z**2\/2 - 10*z + 1. Let g(a) be the first derivative of v(a). Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 546050 + -2198767\/4. Let n = u - -3617. Find the common denominator of n and 77\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 994701.4 decades in months?\nAnswer: 119364168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 465 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330 - 2?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.98364 centuries in millennia?\nAnswer: 0.998364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/15 + 2*t**5 + t**4\/6 + 2*t**3\/3 + 1281*t**2 - 2617*t. What is the second derivative of k(z) wrt z?\nAnswer: 24*z**2 + 240*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-14)\/4)*180\/18. Suppose -w + 13673 = x, a*w + 2*x = -217 + 68570. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:14 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - k**2 - k - 7. Let h be u(-2). Let q(g) = -g**2 - h*g - 5*g - 7*g**3 + 2*g**3 + 26*g. Let c(p) = 4*p**3 + p. Calculate 4*c(m) + 3*q(m).\nAnswer: m**3 - 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -4. Let t = -37 - -36. Let s be t + (-3)\/(12\/(-16)). What is the greatest common factor of s and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -674755, -1349505, -2024255, -2699005, -3373755?\n\"Answer: -674750*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244764589503 - 176*u**3 - 244764589503.\nAnswer: -176*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/6 + 34*i**4\/3 - 917*i**3\/6 + 1690*i**2\/3 - 2386*i\/3 + 1120\/3 = 0 for i.\nAnswer: -80, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5.435381 + 180\nAnswer: 174.564619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3\/7 - 1128*a**2\/7 + 9168*a\/7 - 18432\/7 = 0.\nAnswer: -384, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313039 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -2*i + 0*i = 6, -a*u = i + 15. Let r be ((-16)\/u)\/((-2)\/(-42)). Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -464.2 + 487. Let y = -27.8 + s. Sort y, -0.09, -3, -0.1 in increasing order.\nAnswer: y, -3, -0.1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/(b\/b**(4\/3)))*b))\/b)\/(b*b**(-1\/3)*b*b*b)*(b**0)**(-2\/47) assuming b is positive.\nAnswer: b**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38727*3\nAnswer: 116181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 63*p**2 + 28*p + 106. Give w(31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -649 + 649.2. What is the smallest value in -2, v, 0.16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223754 is divided by 54.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7 + -3?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4200652 and 2032?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, p: 4}. What is prob of sequence kpk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from repjoqjpeqerre.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 55*q**2 + 194*q - 633. What is l(58)?\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upud when four letters picked without replacement from {q: 3, d: 3, m: 1, x: 5, p: 2, u: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*r - 6 = -5*r, -i = -2*r + 4. Let h(f) = -3*f - 4*f + 4*f**2 + i*f + 4*f. Suppose 4*q - 10 + 2 = 0. What is h(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2584*z**3 - 3*z - 2614*z**3 + 10*z)*(6*z**2 - 15*z**2 - 11*z**2).\nAnswer: 600*z**5 - 100*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 - 4*z**3\/3 - z**2 - 4*z + 16. Give p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/4 - 2*v**3\/3 - 2*v + 1. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 + 136. Put 0.1, -8, 2, d in increasing order.\nAnswer: -8, d, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfgv. What is prob of sequence hh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.7 - -11. Which is the nearest to u? (a) -4 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + t - 7. Let q be y(-6). Let g = q + -19. Is 25 a factor of 2\/8 - ((-663)\/g + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2*(-1)\/(-3). Suppose a = -10*b + 7687 - 477. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 12:33 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 297572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18592*r - 3631. Let o(y) = -6071*y - 1210. Let u(h) = -13*o(h) + 4*s(h). Differentiate u(v) with respect to v.\nAnswer: 4555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 8*f - 56. What is the remainder when 396 is divided by r(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 16*t. Suppose -q = -5*x + 7, -28 = -q + 5*q + x. What is the units digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2*d**3\/3 - 2*d - 21. Let t(i) = i**2. Let x(r) = t(r) + z(r). Let l be x(1). Which is smaller: l or -2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/13 + 5775888*n\/13 - 17327646\/13 = 0.\nAnswer: 3, 2887941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9060 + -4073. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -2, 5 in ascending order.\nAnswer: -17, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 519, 1010, 1477, 1914, 2315, 2674?\n\"Answer: -o**3 - 6*o**2 + 516*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(-5) - (-3)\/(-135)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -10, 3, 5 in increasing order.\nAnswer: -10, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*j**2 + 9750 - 4878 - 4872 + 797*j**2 - 1595*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101550124 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c518 (base 13) to base 11\nAnswer: -38a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {c: 2, f: 3, i: 1, q: 4, u: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13849 is divided by 869.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26084872 by 836.\nAnswer: -31202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 7. Let a be m(7). Suppose 0*s + s - 4 = a. What is the remainder when s is divided by 3*-4*(-3)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180))*-6 - (sqrt(180) - ((sqrt(180) - (sqrt(180) + 1)) + -4))**2.\nAnswer: -96*sqrt(5) - 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a0355 (base 11) to base 4.\nAnswer: -2121303202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (9\/3 + -25). Let y be 7 - 9 - 8\/1. Let b be (y\/(-8))\/(3\/276). What is the highest common factor of b and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + s**2. Let a(l) = -8*l**4 - 20*l**3 + 62*l**2. Let b = -441 + 444. Let w(h) = b*z(h) - a(h). Find the third derivative of w(y) wrt y.\nAnswer: 192*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -832 + 1648. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 401 - 240. Does 48 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/23 or 193.29?\nAnswer: 193.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52519587, -52519586, -52519585, -52519584, -52519583, -52519582?\n\"Answer: j - 52519588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -10 - 2. Let j(n) = n**3 + 13*n**2 + 10*n - 20. Calculate the remainder when 4 is divided by j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 50643976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)*w**(-1\/29))\/(w**9\/w*w**(2\/31)))**(-11) assuming w is positive.\nAnswer: w**(580415\/6293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7004 + 4244 = 4*f. Suppose 6*d - 8126 = f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52085*j + 27381*j + 56552*j - 16769*j.\nAnswer: 119249*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -146*h**3 + 7*h**2 + 116*h - 7. Let g(m) = 49*m**3 - 2*m**2 - 39*m + 2. Let i(v) = -2*c(v) - 7*g(v). Find the second derivative of i(z) wrt z.\nAnswer: -306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least as big as 0.073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15242392 minus -4?\nAnswer: -15242388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 23*l + 127. Calculate m(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {y: 3, v: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 2*n**2 - 5*n**2)*(n - n + n) - 2*n**3 + 4*n**3 + 0*n**3 - 13 + 16*n**3 + 3 + 8.\nAnswer: 19*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let g(j) = 5*j**2 + 6*j + 4. Let v(q) = q**3 + q**2 + q - 1. Let z be v(1). Let a(r) = r**z + r + 0 + 1 - 4 + 4. Determine c*g(n) + 6*a(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 2, -427?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1961378 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 - -214. Is -23 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886272 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -g - 2, -3*m = -4*g - 0*g - 23. Let x be ((-2)\/3 - 1)*-6. Let p = g + x. Solve -2 + 10 = -5*k - 2*h, -5*h = -p*k - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(832) + sqrt(832) + ((sqrt(832) + 3 + sqrt(832))*4)**2) + 2*-1*sqrt(832) + (sqrt(832) - (-1 + sqrt(832) + sqrt(832) + sqrt(832))*4).\nAnswer: -266956 - 7864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 30*q**4 + 12*q**3 + 4*q**2 - 12*q. Let i(x) = -2*x**4 + x**3 + x**2 - x. Let u(n) = -12*i(n) + p(n). What is the third derivative of u(z) wrt z?\nAnswer: 1296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4 - 7 + 21*k - 7. Let i = 1969 - 1963. Is b(i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 10, c: 1, w: 1, x: 3}. Give prob of picking 1 d and 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a minute in seconds?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 721452869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 109. What is the smallest value in -0.1, 51, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/4061 + 620771\/1535058. Calculate the common denominator of h and -41\/1674.\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5745836 divided by -8\nAnswer: 1436459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3454 is divided by 73.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234140 (base 5) to base 16.\nAnswer: 21de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/(-8)*2. Let z(p) be the third derivative of -p**5\/30 - p**4\/24 + 14*p**3\/3 - 2*p**2. What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 8:46 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffkpfkffkfkfkfffp. What is prob of picking 1 k and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 + w**4 - 21*w**3 - w**2 + 20*w = 0?\nAnswer: -5, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 30. Let u = -4 - n. Let y = u + -4. Are -7 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -86*l - 19419. Determine k(-227).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/21*2\/12. Suppose -3 = -24*n + 21. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 10*i**2 - 7*i - 13. Let a be v(8). Let x = 328 + a. Suppose -f + x = 3*c + f, 5*f + 21 = c. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.6 + 30.6. Let s = 1.7 - 0.7. Let i = 2.7 - -0.3. What is the fourth biggest value in b, -4, i, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57956693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*c = -128*c + 52*c - 40359 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1012.\nAnswer: -1\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - -16)\/((-1)\/(-62)*4) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + m - 57 = 0, -10*m - 153 = 5*u - 9*m. Suppose -3*s + 96 = -6*s. Let d = u - s. Solve -4*k = 2*y - 8, -d*k - 2*k + 4*y + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 60432?\nAnswer: -60435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.0032. Round h to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g + 26*g**2 + 20*g - 24*g**2 - 3. Let p(a) = -2*a**2 + 3. What is 3*b(i) + 2*p(i)?\nAnswer: 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.792 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 259 - (11 - 7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 1301 = -883. Let c be 3\/5*(-455)\/a. Let n(b) = -1 - 3*b**2 + 8*b**3 + b**2 + 2*b + b**2. What is n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2736) + sqrt(2736)*-1 + -2 + 2)**2 - (-1*(-5 + sqrt(171)*2))**2).\nAnswer: -1418 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11945 + 4291 - 1631)*(-2 - u + 2)*(-3*u + u + u)*(-3 + 3 - 2) to a + s*u**2 + x*u and give s.\nAnswer: 18570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-255)*-119)\/((-6)\/40).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -0.1, 2\/7 in ascending order.\nAnswer: -55, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*o = 3*q + 8, -q - 8 = -2*o. Suppose q*a = 5*a - 240. What is the remainder when a is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 13\/8, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-18))**47)**(3\/17) assuming o is positive.\nAnswer: o**(-2538\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-98)\/(-70) + (-6)\/(-10). Let o = -1\/17 + 21\/68. Factor -1\/4 - o*p**n - 1\/2*p.\nAnswer: -(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302.9518 - 0.0482. Let i = 207 + v. Let l = 96.094 + i. What is l rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51\/4 - -173\/12. Let j = 1068 - 4275\/4. Which is the nearest to -1\/2? (a) m (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 7*c + 4. Let l be 16\/2*(-10 + (-133)\/(-14)). Give g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5034346 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 18*u - 310. Let h be p(32). What is the greatest common divisor of h and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1105621 and 2\/99?\nAnswer: 9950589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8549*t - 385108 = -407*t for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 + 223. Let k(h) = 2*h**2 + 35*h + 20. What is the units digit of k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -4\/25, 2\/79, 3, 1\/2?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -5121.4\nAnswer: 5104.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2122 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 556402487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11439748.\nAnswer: 2, 19, 150523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 170 = 24*x - 21*x, 10 = 2*x. Solve 43*b - u*b + 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534352 (base 6) to base 5.\nAnswer: -2400042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 35 = -2*k. Suppose 0 = -0*v + 2*v + 4*n - 410, 995 = 5*v - k*n. Let l = -99 + v. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 + -102. Suppose -d = -31*f + 30*f. Suppose 0 = -16*y + f + 332. What is the remainder when 74 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/7 + 996*n**4\/7 + 5144*n**3\/7 - 57532*n**2\/7 + 95658*n\/7 - 44264\/7 = 0. What is n?\nAnswer: -11, 1, 4, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*m = 15, 65*m - 9 = n - 69*m + 136*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -1458*a**5 + 282636*a**4 - 13954904*a**3 + 24801808*a**2 + 3904512*a + 147456 = 0.\nAnswer: -2\/27, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 432423 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51289 and 9520.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5999 divided by -5654\nAnswer: -5999\/5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*k**3 + 5*k**3 + 5*k**3 + (2 - 3 + 3)*(0*k**3 + 3*k**3 - k**3) - 5*k + 5*k + 2*k**3 to the form i*k**2 + o*k + u + n*k**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/93*(-6)\/20)\/((-147)\/70)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(8 - (-104)\/(-12)). Solve 13 = n*j + 5*v + 42, 4*j - 3*v = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18089.\nAnswer: 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.107495 months?\nAnswer: 2.09229125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 108*f**3 + f**2 + 4*f. What are the prime factors of b(3)?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7763 or -6182?\nAnswer: -7763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/15 + (14255\/3 - 2). What is t rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Suppose f = 6*m - 5*m. Solve -o + 2*o + 5 = m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 25 (c) -559 (d) 0.07 (e) 5\/6 (f) 0 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2574*n - 201*n**2 - 2529*n + 5102*n - 3 in the form m + t*n**2 + y*n and give t.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 12. Let f be i(-5). Let l(s) = s + 7. Let z be l(f). Is (1 - z)\/((-2)\/(-98)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Factor 8*l + 2*l**3 - l - c*l - 4*l**2.\nAnswer: 2*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*m**2 - 41*m**2 + 1203*m**2 in the form x*m**2 + s*m + a and give x.\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 1357*t + 367829 = 1368*t + 113398 for t.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.086? (a) -4\/3 (b) 95 (c) 0.4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -47 + 59. Let n be (-3 + t)\/(2 - 0). Suppose 0*j + j - 105 = n. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - u - u = 32, 5*u = 2*r + 64. Let g be r\/(8 - 4) + 1. Put -2\/11, g, -1 in descending order.\nAnswer: -2\/11, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 347*x + 21030. What is f(-60)?\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 3*o - 2. Let x be y(-5). Let a = -6 - x. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 13*g - 20*g - 8*g + 46*g. Let w(m) = 649*m. Determine u(w(q)).\nAnswer: -649*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-688)\/(-88) + (-120)\/(-418)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 3:49 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1.5, 4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2198 + 13241\/6. What is the common denominator of -23\/22 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 7. Let l be p(-3). Suppose 5*n - 2*j + 61 = 73, 0 = -2*n + 2*j + 6. Solve -6*v + n*v = -l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10196 is divided by (984\/(-287))\/(1\/(-7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(-55)*(-7770)\/4. What is the common denominator of -27\/100 and d\/28*(-2)\/60?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 p when three letters picked without replacement from {z: 1, p: 1, l: 1, d: 1, c: 1, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-22))\/((g**(-3\/13)*g)\/g) assuming g is positive.\nAnswer: g**(-270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Let t(i) = -2*i**3 - 128*i**2 - 1029*i. Let l(b) = -4*j(b) - t(b). What is the second derivative of l(n) wrt n?\nAnswer: 12*n + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/63)\/((-4)\/6). Let q = -68 - -68. Solve q*d = -d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1764*z - 238*z + 48260 = -887*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4998, -10007, -15028, -20067, -25130?\nAnswer: -30223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39929868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -9. Let c = -18 + b. Let g be (2\/8)\/((-1)\/(-4)). Solve -k = -c - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1418*d. Let z(u) be the first derivative of -u**2\/2 + 2567. Give z(y(c)).\nAnswer: 1418*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1652115 in -4, -3\/4, 5, 5\/2, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - u**2 + u**2. Let q(n) be the third derivative of -n**5\/60 - 603*n**2. Calculate q(o(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(16\/12)*1. Suppose 0 = n*b + 10 - 91. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvjjjovjjvajvvvdjv. What is prob of picking 1 o and 1 j?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.719856 years to decades.\nAnswer: 0.5719856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)\/sqrt(4))\/(-1*(sqrt(12) - sqrt(3))) + (3*sqrt(70)*2)\/(-1*sqrt(1210)).\nAnswer: -28*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943528 is divided by 6941.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18 - 40*k**3 - 21.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v = -n - 275, 4*v + 117*n = 116*n - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 6*h + 16 = 0. Let n(u) = 0 + u**3 + u**3 - 2*u - 5 - h*u**2 - 3*u**3. Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 105 = -5*b. Let z(a) = -3*a + 38. Determine z(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1365))\/(2\/10)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 5\/37 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 3. Let f be m(4). Suppose 26 = b + 3*i - f, -5*b + 5*i = -175. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8.5. Let v = i - 2. Sort -2\/7, v, 0.1.\nAnswer: v, -2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:30 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**12\/i)\/i)\/i*i*(i**4\/i)\/i*i*i**4*i**(-1\/2)\/i)**(-10\/9) assuming i is positive.\nAnswer: i**(-155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**4 - 6607*j**3 + 53*j**2 + 321855 wrt j?\nAnswer: 12*j**3 - 19821*j**2 + 106*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85489 is divided by 3164?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358 (base 11) to base 16.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 170215*w**2 + 4766897*w + 15832599.\nAnswer: -(w - 31)*(w + 3)*(w + 170243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413.8 - -414. What is the nearest to 2 in y, -5, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0.2, 22, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 38ba?\nAnswer: 38bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -8 (b) 3\/4 (c) 1 (d) -9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 505 - 562.2. Let l = -58 - f. Which is the third smallest value? (a) -4 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 6*l**2 + 6*l + 11. Let v(q) = -11*q + 59. Let p be v(5). Is m(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (12 - (33 - 16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(468)*-4 + -3) + -1*(2 + sqrt(468) + 4) + -4).\nAnswer: -84*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (150\/(-17 - -27))\/(1\/20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 119267\nAnswer: -5\/119267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 6*v**2 + v - 2. Let j be y(6). Let f be ((-6081)\/(-12))\/(j\/(-18)). Let r = f + 2288. Find the common denominator of -109\/18 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-5))\/((-6)\/10). Let u(y) = y**3 - 3*y**2 - 4*y - 5. Does 18 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -1\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -733406, 0 in decreasing order.\nAnswer: 0, -38, -733406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73376352 by 48.\nAnswer: -1528674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.1 and 11228.\nAnswer: 11213.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 12239 = 1420. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 153293 - 153293.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**3*z**4 + 3*u**3*z - u**2*z**4 - 3*u**2*z**2 + 118*z**4 + 4*z**2 wrt z?\nAnswer: 24*u**3*z - 24*u**2*z + 2832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0\/(-2))*-1. What is the units digit of ((-2)\/(-6))\/(t\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -1\/2*b**3 + 0*b - 31\/120*b**6 + 0 + 12*b**2 + 0*b**4 + 0*b**5. What is the derivative of i(j) wrt j?\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2607*o + 375. Let d(k) = -50*k + 1. Let x(b) = 66*d(b) + 2*r(b). What is the first derivative of x(t) wrt t?\nAnswer: 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/36 and 44\/117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3400252407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16809386603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 = l, -4*l = 4*f + f + 6. Let k(c) = c**2 + 14*c + 32. Let h be k(-3). Sort h, l, 8 in increasing order.\nAnswer: h, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:04 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 43 + 2*f - 151 + 4*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -1, -3, -2, 4, 0 in decreasing order.\nAnswer: 110, 4, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/24)\/1*(-31821)\/2100186?\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -114122 - -13\nAnswer: -114109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.004 (b) -1 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23022374 and 838.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (41*c - 41*c - 39*c**2)*(3 - 3 + 1)*(2*c - 1 + 1).\nAnswer: -78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-two fifths of a minute?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*i**2 - 2*i - 200*i**2 + 348*i**2 - 17 to r*i + u + a*i**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928239, 928251, 928255, 928251, 928239?\nAnswer: 928219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 + 2*w**2 - 4*w + 2. Let x(z) = z**2 - 24*z + 121. Let i be x(17). Determine k(i).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702467569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 28 = 3*z - 4*r, -z - r + 9 = 0. Let b be (-4)\/(-10) + z\/5. Let x(s) = 4 - 3 - 2 + b*s. Give x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllllccccccccc. What is prob of picking 2 c?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -6416?\nAnswer: 6422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -79*u**2 - 75*u - 7. Let r(k) = -40*k**2 - 43*k - 4. Let b(d) = -7*r(d) + 4*t(d). Let p(z) = -15*z. What is b(p(n))?\nAnswer: -8100*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 66011 (base 7) to base 8\nAnswer: 40130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.718 and 1.2073206.\nAnswer: 0.4893206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53241169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9*c. Suppose c*i - 2*i + 8 = 0. Solve -u - 4 = 0, 0 = -i*w - u - 2*u - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 27120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 1c?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 3*b - 3. Let m be f(4). Suppose 5*y + 14 - 1 = g, y = 2*g + m. Let t = y - -8. Solve -t*u - 32 = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y - 1 + 2 + 2*y**2 - 73*y + 10*y + 21*y**3 - 19*y**3 to w*y**3 + z*y**2 + u*y + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16992131, 16992132, 16992133, 16992134, 16992135, 16992136?\n\"Answer: x + 16992130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + p**3 - p**5 - 14*p**5 + 5*p**5 - 6*p**5 + (-p - 10*p + 2*p)*(p**4 - 2*p**4 + 4*p**4) + 4*p**5 + p**5 - 2*p**5 + 3*p**4 - p**5 - 3*p**4.\nAnswer: -41*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 divided by 5004?\nAnswer: 521\/5004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5 - 16335*y**4 - 48951*y**3 + 146919*y**2 - 81630*y = 0.\nAnswer: -5442, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13099326937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/1440*-138*(54\/3 + -15)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1220565*z**2 - 61537*z - 8 wrt z?\nAnswer: 2441130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1310 and 676343830?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, -2\/5, -6.\nAnswer: -6, -3, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/30 + 6*a. Find y such that b(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 67. Let y(r) = -2*r**3 - 4*r**2 + 5*r - 4. Let v(m) = m**2 - m + 1. Determine p*v(u) + y(u).\nAnswer: -2*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45112546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (1 + sqrt(1216) + sqrt(1216))*4 + 0 + sqrt(1216) + 1 + 6*sqrt(1216)*2*4 + 2)**2.\nAnswer: 6496*sqrt(19) + 4090673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2376\/(-704)*40\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2299)*3 + 1)**2 + ((sqrt(19) - sqrt(1216)) + 5)**2 + sqrt(114)\/sqrt(6)*4)*5.\nAnswer: 108240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4, 382 in descending order.\nAnswer: 382, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848334 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: Calculate 1179461740270 - -0.4.\nAnswer: 1179461740270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230288.2 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = 3*m - 4*m, 3*r + 6 = 3*m. Suppose t = -1 - m. Let b be t\/8 - (-15)\/(-100). What is the second smallest value in b, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3124*m**4*u + 179*m**3*u - 32*m**2*u - m**2 + 31*m*u - 131*m wrt m.\nAnswer: 74976*m*u + 1074*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. Let x = 3 - -1. Suppose -c + x = -0*c. Determine s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkll when four letters picked without replacement from {l: 16, k: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksvkkesikoskovv. Give prob of picking 1 v and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 n when four letters picked without replacement from nkknkmkkmemkianmini.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 129 = -2*p, q - 252 = -q - 2*p. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21065, 42163, 63261, 84359, 105457, 126555?\nAnswer: 147653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 788673307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 6*b + 5. Let s be j(-6). Suppose -s*k = y + 2*y - 14, 2*k = -y + 3. Let f = 27 - y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-18 + 8\/(-4))\/((-1)\/(-57)). Calculate the highest common factor of 2497 and v.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 + 10*i**3\/3 + 4*i**2 - i - 2. What is the units digit of n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 3*k - 5*h, 3*k - 4*h = -2*h - 81. Let f = k - -124. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -82146711?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 216991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-5)\/((-10)\/2)). Solve h*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2961*u**2\/2 + 25579*u\/4 - 409\/2 = 0. Calculate u.\nAnswer: -409\/94, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -130, 3, -2.\nAnswer: -130, -2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91.2 - -85.5. Is p greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24018631 is divided by 322.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 - 21*z\/5 + 4 = 0. What is z?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 8, v: 2}. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305427\/22 - 13886. Let f = n - -49\/11. Let h = 1.99 + -2. Which is the nearest to h? (a) 0.1 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(114) - (sqrt(114) - (sqrt(114) + (sqrt(114) - -2*sqrt(114)) - sqrt(114))))*3)\/(-1*sqrt(294)*5 + sqrt(294)).\nAnswer: 9*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -71 + 64 - 38?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/10))\/(u**(-1\/45)\/u)*(u\/u**10*u*u)\/(u*((u\/(u**(2\/23)\/u))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-13643\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 9*v + 9. Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 4*o. Let n be k(-2). What is the tens digit of n*4\/((-64)\/(-132))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2939936 divided by 1.\nAnswer: -2939936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = -2*k. Suppose -x = -3*s - k*x - 73, 2*x - 68 = 4*s. Let o = 32 + s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 408 - 409. Let w be 12\/(-6) - (q - 6). Suppose r = 5*r - 8. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17397171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 5. Let y = -46.05 + 0.05. Let a = -43 - y. What is the third biggest value in 1, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3151295 divided by 6265.\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -82*y**3 + 111*y**2 + 65*y - 60. Let x(l) = -720*l**3 + 1000*l**2 + 585*l - 540. Let f(n) = 35*d(n) - 4*x(n). Find a, given that f(a) = 0.\nAnswer: -1, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h - m + 9, 0 = -2*h + m - 3. Suppose -21 + 6 = -3*u. Suppose -35 - 5 = 16*d - 8. Put u, d, h, 6 in descending order.\nAnswer: 6, u, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89479937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 1. Suppose -f - l - 5 = -3*f, 4*f + 4*l - 40 = 0. Suppose 0 = -f*p + 2*p - 12, 5*y - 4*p = -14. Let t(b) = -8*b + 6. Determine y*s(n) - t(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 2250, 3379, 4508, 5637, 6766?\nAnswer: 7895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 357afc - 1?\nAnswer: 357afb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clr when three letters picked without replacement from {s: 2, l: 2, k: 1, c: 1, r: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.01, 4\/53, -0.09, 5, 2 in decreasing order.\nAnswer: 5, 2, 4\/53, 0.01, -0.09, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - p)*(-2*p**4 + 0*p**2 + 0*p**2) + (1 + 4 - 3)*(3 + p - 3)*(-p**4 + 0*p**4 - p**4) + 2*p**5 - p**5 + 0*p**5.\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-90.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from bduuddududbduddbbluu.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or -50235?\nAnswer: -50235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8*200933)\/(-2) - (-27 + 27). Let k = b + 8253732. What is k rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37590964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a - 739 = -34 + 99 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2. Let y(b) be the first derivative of -19 - 7\/2*b**2 + 0*b. Determine h(y(z)).\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3808.893ng?\nAnswer: 0.003808893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrumfruwhuh. Give prob of picking 2 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144 + 99 + 95 + 8*q**2 + 2*q to f*q**2 + i + t*q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 7*c + 43*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 5*j**2 - 2*j**2)*(0 - 3*j + 0)*(4*j - j + 2*j).\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 8, 2569, 5 in ascending order.\nAnswer: -13, -4, 5, 8, 2569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 3, z: 3, x: 2, t: 3}. Give prob of sequence wz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381192423 divided by 127064141.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - k**2 + 145*k + 327. Give f(0).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and -67\/24310?\nAnswer: 72930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 30280 = -27*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/360 + l**5\/40 - 5*l**4\/24 - l**3\/3 - l**2. Let u(g) be the first derivative of j(g). Does 8 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2)\/sqrt(9)*4*-1)\/(sqrt(22)\/sqrt(99) + sqrt(2) + (sqrt(22)*-3)\/sqrt(11) + sqrt(2)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*z - 50. List the prime factors of (-27 - -10 - -7)\/((-1)\/z).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114954)\/(-4998))\/(3\/9)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628806?\nAnswer: 2, 814403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*f + 3*u + 4, -f - 2*u = -11. Let k(x) be the first derivative of 0*x - f + 2\/3*x**3 + 0*x**2. Let o(b) = b**2. Give k(o(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-4 + 0 + sqrt(242) + sqrt(242)*3*6)*1)**2 + 2)*4.\nAnswer: -26752*sqrt(2) + 1398056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 198 = -9*h. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - (-36 - -11)) + -12 + 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1093 + -0.0907. What is the closest to -1\/2 in m, -48, 33?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*o + 206 = 0, d + 3*o - 48 = -0*d. Suppose 0 = -9*v + 2*v + d. Calculate the least common multiple of 9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 50, 69, 88?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 11280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -20. What is the greatest common divisor of 203 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.2595ml in litres?\nAnswer: 0.8682595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -10*y - 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00173697583 rounded to 5 dps?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + s + 11, -3*p - 3 = s - 4*s. Suppose 0 = 10*f - 25 - 35. Factor -139 - 2*m**3 + 127 - f*m**2 + 2*m**p - 4*m**3 + 22*m + 0*m**4.\nAnswer: 2*(m - 3)*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 538839*n**6 - 5443*n**2 + n.\nAnswer: 64660680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((121\/11)\/(-11))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u**2 - 12*u**2 - 2*u**4 + 1 + 5*u**2 + 3*u to the form l + c*u**3 + x*u**2 + k*u**4 + h*u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-210) - 4\/30. Sort l, -3, -4\/5, -3\/2 in increasing order.\nAnswer: -3, -3\/2, -4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 times 124.689?\nAnswer: -177307.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, -1\/5, 1\/2 in descending order.\nAnswer: 2, 1\/2, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.5 and 5.\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 21*g**2 - 1. Let o be b(1). Suppose 10*m + 3*s = 5*m + o, -4*s + 16 = 4*m. Solve 2 = -3*q + m*q, 18 = -4*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(700)*1)**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 208*a**2 + a - 1318 wrt a?\nAnswer: 416*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h - 7 - 8*h + 41*h - 19*h - 7*h**2 - h**3. What is a(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 1503576*o**3 + 188372510658*o**2 - 5652190274040*o + 42393964491675.\nAnswer: 3*(o - 15)**2*(o + 250611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -11, -5 in ascending order.\nAnswer: -11, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -126, -184, -240, -294?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3731.1 - 3731. Sort -29\/4, s, -3 in descending order.\nAnswer: s, -3, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (336\/(-33) - -3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -51*x + 1. Let d(v) be the first derivative of -8*v**3\/3 - 23. Calculate k(d(p)).\nAnswer: 408*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s + 2. Let a = -1 - -1. Let g be b(a). Suppose g = -m + 13. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-1*sqrt(208))**2 - sqrt(65)\/(sqrt(5)*3).\nAnswer: 2*sqrt(13)\/3 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 8 + 14. Find the third derivative of -2*u**b + 5*u**6 - 48 + 10*u**6 + 25*u**6 + 0*u**2 wrt u.\nAnswer: 4800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 16751\/53. Is o greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 5)*(-2 + 0). Let c(p) = 84*p**2 - 48*p**o - 40*p**2. Let t(y) = -11*y. Determine c(t(z)).\nAnswer: -484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 49 + 35*f**2.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 17, 0.06, -2433?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 3, v: 1, d: 5, x: 1}. What is prob of sequence aox?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 3*b + 6. Let y be h(-3). Let o be y*(-4 + (-93)\/(-27)). Sort -1\/3, 4, -4, o in decreasing order.\nAnswer: 4, o, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - -118 - (114 - 37)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.057 + -0.057. Let b = 0 + -1. What is the nearest to b in 0.1, v, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14215*p**2 - 14203*p**2 - 9 - 8 + 19.\nAnswer: 12*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(3) + -5 + sqrt(12)\/((sqrt(36)*-2)\/sqrt(9)))**2*1.\nAnswer: -10*sqrt(3) + 403\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 7*a + 3. Calculate n(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -1 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 8*u + 3*q - 11, -26 = -2*u - 2*q. Solve -u*d + 17 = 10*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613.112 - -5.018?\nAnswer: -608.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/130 - v**4\/26 + 2694*v. Factor r(f).\nAnswer: -2*f**2*(f + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910.3*-649.\nAnswer: -590784.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 6*n + 2. Let u be d(-6). Suppose 4*j - u = 6. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2061*j**2 - 2*j**3 - 683*j**2 - 689*j**2 - 689*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0*x - 64\/3*x**2 + 16*x**3 + 5*x**4 + 1\/3*x**5 + 0 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a5332 (base 11) in base 3?\nAnswer: 21210111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 491, 499, 527, 587, 691, 851, 1079, 1387?\n\"Answer: 2*g**3 - 2*g**2 + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 125766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69852 or -69844?\nAnswer: -69852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1. Let s = -37 + 32. Let v(u) = 2 - 2*u - 2 + 4. Give s*n(a) - v(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2177 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 28*w**2 + w - 2. Let u(g) = 27*g**2 + g - 1. Give 3*q(y) - 4*u(y).\nAnswer: -24*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925243?\nAnswer: 11, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - 49*h + 22. Calculate l(-5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*t - 31293 = -2033*t + 758*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + 2*t)*(-48 - 181 - 230).\nAnswer: 459*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -398 or -424?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 14*p**2 - 49*p - 35. List the prime factors of o(-15).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(228) + (sqrt(228)*-4 + sqrt(228))*6 - sqrt(228)) + sqrt(228) - -4*-2*sqrt(228))\/((sqrt(1764)*-2)\/((sqrt(99)\/sqrt(3))\/sqrt(11))).\nAnswer: -125*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Let z = 22.2 - 22. Let k = z + -2.2. Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittiiiiiiiitiiititi. Give prob of picking 4 t.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 32*n - 105. Calculate the remainder when q(16) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 5, n: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -15, -2*v - 2654 = -7*j + 3*j. Calculate the smallest common multiple of 592 and j.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 1147 = 1243. Calculate the common denominator of 28\/98 + l\/(-28) and -71\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112.1 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + sqrt(14)\/sqrt(2) + -5 + -5 + (-1*(5 + 2 + (sqrt(7) - sqrt(112))))**2.\nAnswer: -40*sqrt(7) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((-3*(sqrt(3) + 2*sqrt(3)))**2 - (sqrt(3)*-2 + -1)).\nAnswer: 8*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 82*u + 334. Determine f(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - r - 9*r + 8*r - 1717 - r as d + f*r and give d.\nAnswer: -1717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 108, 95, 66, 15, -64?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(12)*-6*-5)\/(-2*sqrt(6)*5 + sqrt(726) + sqrt(726)*-1 + sqrt(726)))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 7)*(-3*t + 2*t + 2*t) - 2*t + 1 - 1 + (1 + 0 - 3)*(-t - 3*t + 2*t) to g*t + z and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.82 + -0.819932. What is u rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvscvvccmv. Give prob of picking 1 m and 3 c.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 - -126.823. Let i = w + 0.477. What is the second smallest value in i, -0.2, 13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1344.8 + 1345. Put -0.1, -13, w in descending order.\nAnswer: w, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 11*i**2 + 11*i - 9. Give b(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 10*g + 12. Let p be u(-6). Solve 1 = l + 5*m, -4*l + 4*m - 5 - 15 = p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 4, -5, 22, -15 in ascending order.\nAnswer: -15, -5, 0, 4, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**7\/210 - b**5\/120 + 4*b**3\/3 - 3. Let k(f) be the third derivative of y(f). What is the second derivative of k(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 3*y. Let i be w(3). Let d = i + -21. Which is the nearest to -4? (a) 5 (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -131\/24*d**4 + 0*d + 1\/6*d**3 + 0 - 17*d**2. What is the hundreds digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2332 + 3111?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1746 - -2120. What is the least common multiple of 476 and u?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t**2 - 4*t + 4*t)*((1 + 6 - 5)*(3*t - t + 0*t) + 5*t + 0*t - 4*t) - 4897*t + 4897*t - 82*t**3)*(-t**2 + 0*t**2 + 4*t**2).\nAnswer: -231*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2660*s**3 + 721*s + 1?\nAnswer: 15960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -1. Let j = -40 + v. Find the third derivative of -4*i**2 - 2*i**5 - 10 + j wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76)*2 - sqrt(76)))*2)\/(6*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9526.32 to the nearest 100.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -227*d**3*x**3 + 321*d**3 - 2*d**2 + 24*x wrt x.\nAnswer: -681*d**3*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 11*z**2 + 9*z + 6. Let a be n(-9). Calculate the highest common factor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891927268.\nAnswer: 2, 3, 80331313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (21 + 1 - -3). Let r be 9 - 5 - (31 + -2). Let v = r - t. Solve -v = k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074417078 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 - 3*q - 3. Suppose -14*m + 118 = -15*m. Let s = m - -121. Calculate the remainder when j(-2) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221 divided by 7?\nAnswer: 7221\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (1 + 3)\/4. What is the closest to 1 in -5, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 89, 172, 251, 320, 373, 404, 407, 376?\n\"Answer: -m**3 + 4*m**2 + 78*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 + 3.1. What is the smallest value in -0.1, 3\/8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.1290204 rounded to 2 dps?\nAnswer: 66.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4230 + 4230. Solve g + 3*n + 1 = c, -4*g + 9*g - 8 = -2*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:48 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 143 * 2\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 939 (c) 232 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485102717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(0 + -4))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - 7.25. Let c = 7.59999882 + m. Round c to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 52*z**2 - 54*z**2 - 4.\nAnswer: -2*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 575 - 351. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*n**(-2\/5))**(5\/3) assuming n is positive.\nAnswer: n**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7891075 divided by -315643.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:43 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l\/(l*(l**(3\/2)\/l)\/l*l))\/(l**1)**34 assuming l is positive.\nAnswer: l**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 2 + 4 - 36*i + 33*i + 0.\nAnswer: 3*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 40\/9*y**2 + 44\/9*y - 4\/9*y**3 + 0 = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/52*5\/((-15)\/42)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224367.\nAnswer: 3, 11, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 315, 707, 1255, 1959, 2819, 3835?\n\"Answer: 78*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13145\/18 - 731. Is d greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5 + 12 - c to v + n*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x**3 + x**2 - x - 3. Let a be (14\/(-77) + 24\/11)*-2. Is f(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 11*f**6\/60 + f**5\/60 - 17*f**4\/6 + 93*f**2. What is the second derivative of s(h) wrt h?\nAnswer: 132*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 12*(-1)\/(-2). Solve -5*w + 4*u + 27 = 0, w + l*u + 2*u = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 60. Let b(i) = -616*i. Calculate g(b(x)).\nAnswer: -758912*x**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42492\/18745 - 2\/11247. Let m(k) = 18*k**2 - 60*k + 19. Let y be m(3). Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/56 and -23\/4032.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u - u)*(-162*u - 97*u + 451*u + 18*u).\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -6. Let f be (-42)\/(-8)*(5 + c). Suppose z - f = -2*z. Calculate the highest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Suppose -14*d = -3*q - 12*d + 2, 0 = -3*q - 2*d - 2. Let c(k) = -3*k**2 + q*k**2 - 3*k - 6*k - 5*k + k**2. Determine c(b(y)).\nAnswer: -32*y**2 - 56*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15.3663 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 316247047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2604.511*-12\nAnswer: -31254.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 27.4. Let m = d + 4. Let z = 185 - 4253\/23. Which is the third smallest value? (a) m (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*i - 6, -4*v = -2*i + 38 - 10. Let l be 2\/v*-6 - -1. Solve 3*f + 3*o = l, -4*o + 25 = -4*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719329 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3363878 + 208.\nAnswer: -3363670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/60)\/((-182)\/9360)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.07225ms in hours?\nAnswer: 0.000050575625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 2, a: 4, y: 3, w: 4}. What is prob of sequence waav?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975\/(-120) - (-6 - 1) - (-13575)\/(-200).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*j + 19 = -3*j, -4*j = -4*a - 52. Suppose 3 + 1 = -2*i, -3*r + 1 = -5*i. Is r\/24 - 2322\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 and -101\/1492.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3351711 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*t. Let r(y) be the first derivative of 1\/22*y**4 - 4 + 0*y**t - 2\/33*y**3 + 0*y. Factor r(w).\nAnswer: 2*w**2*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 2. Let v be t(-7). Let f be ((-6)\/(-4))\/(3\/44). Is v\/2*f\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dukuuskusukkkksksks. What is prob of picking 3 k?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o**2 - o. Let a(k) be the third derivative of k**5\/30 + 39*k**2. Give t(a(i)).\nAnswer: 76*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 - 280. Calculate the highest common factor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:06 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 - 1\/2*d**2 + 15\/2*d = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1545 and (3 - 33\/(-6)) + 1 + 7\/(-14)?\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqgzqzqqqzgqq. What is prob of picking 2 z and 2 q?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 499 + 210. Differentiate -18 - q*m + m**4 + 709*m wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 35*n - 55. Solve -17*q + n*q - 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 - -56. Suppose -t - 4 = 22. Let o = t - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -819*k**3*y**3 - 2*k**3*y**2 + 156302*k**3*y + 8*k*y**2 wrt y.\nAnswer: -4914*k**3*y - 4*k**3 + 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 3013073.\nAnswer: 3013072.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 46*m**2 - 3*m + 19. Suppose 0 = -2*f + 162 + 118. Let u be (6 + f\/(-25))\/((-3)\/45). Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 231\/58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 7*s + 0*s + 6*s to f + a*s and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -939 or -938?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1381.95 + 1382. Sort 1\/3, -0.5, -11\/4, s in descending order.\nAnswer: 1\/3, s, -0.5, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 27*p = 228. Let m be (1 - 3)\/(57\/p). Sort m, 1, -3, -1 in descending order.\nAnswer: 1, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1 plus -357?\nAnswer: -349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*k + 239 = 1724, 0 = -3*p - 2*k + 1480. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + 51*g**2 - 45*g + 21. Give j(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -1\/120*v**6 + 2\/3*v**3 + 0*v - 1\/60*v**5 + 0 + 1\/12*v**4 + v**2. What is the units digit of y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - -1) + (-2 + -3 - (-142 - -131)) + -14.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 167440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + 2*w**3 - w**3 + 19*w**2 - 8*w**2 - 2. Calculate l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822857 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 - 3*r**2 + 0*r**3 + 15*r**3 in the form v*r + t + h*r**3 + o*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 3*i**3*p**2 + 65844*i**3 + 24572*i**2*p - i*p**2 wrt i?\nAnswer: -60*i**2 + 18*p**2 + 395064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 46 - 24 - ((5 - 4) + -4 + -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 504*a**3 + 9*a**2 - 9030 wrt a.\nAnswer: 1512*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(637)*5.\nAnswer: -70*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9405454 or -9405455?\nAnswer: -9405454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f - 2*f**2 + 4*f + (-6*f**2 - 75818*f + 75818*f + 28)*(-2 + 5 - 1).\nAnswer: -14*f**2 + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqqdwwwzwzllqqzq. Give prob of picking 4 w.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 130 + 34)*((-1 + 2*d**2 + 1)*(-2 - 1 + 1) + 3*d**2 - d**2 + 0*d**2 + d**2 + 4*d - 4*d).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3210 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m**9 assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-299)\/1365 + (80\/(-28))\/(-10).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 6*u + 2*u - 179, -4*u = -2*q - 94. Let p = -28 - q. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 19*v + 424. Let k be y(0). Suppose 0 = 4*i - 4*c - k, 2*i - 524 = -3*i - c. What is the greatest common factor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (10 + (-4 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*y**2 - 552 + 1225*y**2 + 617*y**2 + 552.\nAnswer: 2479*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*p - 2*f = 569*p - 1, -5*p = f + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 - 2*j**3 - 2*j**3)*(-2 - 3 + 3)*(3 - 1 - 4) + 385*j - 742*j + 369*j + 31*j**3 in the form u + y*j**3 + t*j**2 + n*j and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/3)\/((-4)\/6). Let t = -1466 - -1468. Solve -2*l + o*l = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8186 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**6 + 207*v**5 - 237*v**2 - v wrt v?\nAnswer: 240*v**3 + 12420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*o + 4*o = 10, p - 2*o + 2 = 0. Which is the closest to p? (a) 2 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 83. Suppose -3*x = -5*c + 3, q*x - 4*c = -c + 7. Solve -x*o + 1 - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2, -118, -3, -7, 206, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 50*i**2 - 8*i - 148. Calculate the remainder when m(-50) is divided by 84.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r - 1. Let v(x) = -7*x**3 - 2*x**2 + 3*x + 4. Let d(q) = 4*j(q) + v(q). Let a be d(-1). Solve 4*p + a*c - c = -13, 3*p - 4*c = -24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from cwsgbwgjj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1815 + -3689. Let i(g) = -5*g. Let v be i(-2). Is (-4)\/10 - q\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 - n + 7. What is a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 44\/603487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 8*t**3 + 2*t**3)*(t - t**2 - 3*t**2 + 2*t**2).\nAnswer: -14*t**5 + 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h**3 + 342*h**2 + 74*h - 178. What is g(-14)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-900))\/((-10)\/12)*2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1\/16 (b) -4 (c) -0.1 (d) 3\/4 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 154 - 319 = 391. Which is the closest to 2? (a) -0.1 (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 4*m**2 + 4*m - 1. Let d be v(5). Find a, given that 52*a + 4*a**4 + 19*a**2 - d*a + 16*a**3 + a**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933180032?\nAnswer: 2, 3, 7, 719189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*u = 274 - 3414 - 1388 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.2 - 17. Let k = -2698.2 - -2702. Let p = k + s. Which is the third smallest value? (a) 10 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-4*sqrt(14)\/sqrt(2)*3)**2 + ((1*sqrt(42))\/sqrt(3))\/sqrt(2)) + 0)*-6 + 4.\nAnswer: 6*sqrt(7) + 6052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 7*i**2 - 8*i + 5. Let j be a(8). Let p = -5 + j. Suppose 5*c = -4*l - 12, -4*l = 4*c - p*l + 12. Is c not equal to -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78 and -0.08?\nAnswer: 77.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-63.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407664 divided by 7152.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + h - 11 - 1 = 0, -t + 12 = -2*h. Let o = 0 + t. Suppose 4*m + 2*w = 312, -o*m + 3*m - w = -78. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 - -14 - (-3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + q**2)*(-2 - 2 + 3)*(5*q - 4*q + 7*q)*((0 + 0 + 3)*(2*q + 2*q - 3*q) - q + q + q).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 26*h**2 - 16*h - 224. Determine p(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404185, -404184, -404183, -404182?\nAnswer: -404181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7))**5\/(g**(3\/14)*g**(-16)) assuming g is positive.\nAnswer: g**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135651 not equal to 135706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**2 + 2*m**2 + m**2)*(3 - 2 + 0)*(-327*m - 485*m + 39*m) in the form d*m + s*m**3 + g + b*m**2 and give s.\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 1 - 17*y - 23*y + 17*y - 50*y.\nAnswer: -72*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -65735*r**2 - 85*r - 57235. Let u(s) = -4695*s**2 - 6*s - 4088. Let y(j) = 6*f(j) - 85*u(j). Differentiate y(c) with respect to c.\nAnswer: 9330*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33.15534795 from 1.02.\nAnswer: -32.13534795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.041 - 0.18773117?\nAnswer: 1.85326883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -925, -1676, -2425, -3172, -3917, -4660?\n\"Answer: o**2 - 754*o - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*z - 187*z + 5. Suppose -2*l = x - 2, -3*l + x = z - 13. Solve -3*v - 3*r = -3, 3*r = l*v + 6*r - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6106.831719 - -375.\nAnswer: -5731.831719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/(-9)*1*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2173 and -0.096?\nAnswer: -208.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184\/6*5 + 10\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/(-14) - (-2)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1171 + 1168. Let o = -0.08 - -0.38. What is the second smallest value in o, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.22.\nAnswer: -0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071958424 to the power of 1\/3, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10841, -10901, -10963, -11021, -11069, -11101?\nAnswer: -11111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, 3, -1\/2, -134, -3 in ascending order.\nAnswer: -134, -3, -1\/2, 3\/16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -72, -222, -504, -960?\n\"Answer: -7*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7694 is divided by 2505?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -13*r**4\/24 + 261*r**2. Let b be (-1)\/(-3)*-2 + (-2)\/6. Determine q(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 7*j**2 - 9 + 1 + 10 to the form l + q*j**2 + y*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53a281 (base 11) to base 4\nAnswer: 3102221203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 515245452?\nAnswer: -515245424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b6 - -1?\nAnswer: 8b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*((4 - 5 + 0)*(-2*l**4 + 1 - 1) - 2*l**3 + 2*l**4 + 2*l**3 - 9*l + 4*l**4 + 11*l + 4*l).\nAnswer: 16*l**5 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 15*w**2 + 14*w - 28. Let q be x(-16). Find the common denominator of 12\/35 and q\/5*(-2034)\/(-1728).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 2*p**2 + p. Let b be t(2). Suppose 2*a + 288 = -2*a. Let j be 8\/a - (-2)\/(-9). What is the nearest to j in b, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/80 and -89\/170?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1714*k - 1707*k + 3421*k - 13*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17*33\/(-1309))\/(9\/(-147)). Let h = 252 - 49. What is the highest common divisor of f and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -4313041033?\nAnswer: 4313041041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89615095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*k - 8*k**2 - 540*k - 3*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 28 (b) 0.6 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922084311.\nAnswer: 3, 179, 1093, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1623, 0.05, 1, 5 in ascending order.\nAnswer: -1623, 0.05, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(245) + sqrt(5))*5 + (sqrt(5) - sqrt(80)*-3 - sqrt(5)) + sqrt(5) - (-5 + 6*(2*sqrt(5) - sqrt(5)) + 0)))**2.\nAnswer: 7520*sqrt(5) + 177120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-390390)\/(-363) + (18\/11)\/3 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from qxeik?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/(-30))*(-4)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 699912948 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**2 + 3*m + 0 + 0*m**3 + 1\/6*m**4. What is d in l(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2188, -2174, -2160, -2146?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 6) in base 13?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3243*w + 462*w = -183546 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 193 + 95 = -2*i - 160, -173 = 9*i - 4*p for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 67.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10822174 is divided by 469?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/2 + 1788*c**3 + 25434*c**2 - 130248*c = 0.\nAnswer: -18, 0, 4, 1206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (0 - -9) - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82449 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: Let i(g) = -g + g**3 + 0*g**2 + 2 + g**2 - 3*g**2 + 0*g**2. Let x be i(2). What is the nearest to x in 0.5, -1, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, 625, 1934, 3901, 6520, 9785?\n\"Answer: -k**3 + 338*k**2 - 362*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-12)*(-21351)\/(-9058) - (-10)\/(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 3*o. Let p(d) = 3*d**3 + d**2 - d - 1. Let m be p(-1). Let c be q(m). Solve 5*a - 3*a - c = -4*w, -4*w = a - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**3 - 7*b**3 + 15*b**3 + 2 - 2 + b**3 - b + 2*b**3 + b + (1 + 0 + 0)*(0*b**3 + b**3 + 0*b**3) + b**3 + 4*b**2 - 4*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-27) + 1 + 0. Let p = -200 - -140. Let z = 61 + p. Is z equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*h. Let v be 1 - (-5 + 3 + h). Let g = 72 - 68. Which is the second smallest value? (a) -2\/9 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14788, -29569, -44338, -59089, -73816, -88513, -103174, -117793?\n\"Answer: v**3 - 14788*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121010101 (base 3) in base 9?\nAnswer: -17111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224660.\nAnswer: 2, 5, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5431 (base 7) to base 12\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:59 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4)*-4*3\/(-24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 6, 0.5, 2\/31, -4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 8123 + 16230 - 8107.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 5. Calculate the remainder when 54 is divided by k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 5*a + 2. Let o(u) = 2*u**2 - 11*u + 5. Let p(h) = 3*o(h) - 7*x(h). Let t = 11 - 6. Calculate the remainder when t is divided by p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3564 divided by 324\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-352)\/(-56) + -3)*(-1064)\/228.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 - 87. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414289716 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 0*h + 2*h)*(4*h**2 + 5*h**2 - 5*h**2) in the form f*h**3 + r*h + a + l*h**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00369 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 83, 80, 79, 80, 83, 88?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53467256 is divided by 70167.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12424 + -12449.724. Let w = -18.265 + y. Let f = 44 + w. What is f rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t. Suppose -3 = 2*g - 7. Let l(j) = 8 + j - 8 + 0*j. Give g*z(w) - 10*l(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6570 + 6573. Let t = 0.8 + -0.9. Which is the nearest to q? (a) 4 (b) t (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and -33\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {q: 5, k: 1, u: 3, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*o + 23. Let h(l) = -l**3 + l**2 - 1. Let t(b) = 4*b**3 - 4*b**2 + b + 2. Calculate o*h(m) - t(m).\nAnswer: -2*m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 40 = 5*d - 59*o, 5*o + 17 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4*f + 2*b**3*f**2 + 11*b**2*f - b*f**2 + 2*b*f + 8*b wrt b?\nAnswer: 24*b**2*f + 12*b*f**2 + 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + j**2 + j + 2*j**2 + 3. Is y(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 + 4 = 0. Which is the nearest to -0.2? (a) -4 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 18*d**2 + 2742*d - 12985. What is h(-157)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/164246 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3586997 or -3586995?\nAnswer: -3586995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 3) to base 12\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 33 + 9. Suppose -m*n = -22*n + 1069. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160225123 divided by -609221.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 - k**4 - 2*k**4)*((5 - 4 - 2)*(-3 + 5 - 3) - 8 + 1 - 8).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 i when three letters picked without replacement from {w: 4, z: 1, d: 2, s: 1, i: 3, l: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -23) + -21 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let t(b) = 1107 - 33*b**2 - 36*b**2 + 12*b - 12*b - 1109. Calculate k(t(c)).\nAnswer: -4761*c**4 - 276*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let q(d) be the third derivative of -2089*d**4\/24 - 343*d**2. Give r(q(l)).\nAnswer: 13091763*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*k**2 - 438*k + 229*k + 209*k.\nAnswer: 1289*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/21 + 79*v**5\/20 - 185*v**4\/12 + v - 3. What is the third derivative of w(z) wrt z?\nAnswer: 120*z**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*x - 2 = 4*x, 10 = 3*c - 5*x. Suppose 3*z - 3*h = -15, -z - 2*h + 1 = -h. Sort z, c, 5 in increasing order.\nAnswer: z, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543 (base 6) to base 8.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640770285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*y + 22 + 3, -7 = 2*y + 3*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -10) + (2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 + -352. Let f be (-1)\/2 - (-1425)\/(-6). Let n = z - f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46253.3l?\nAnswer: 46253300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 48*d - 295 = 0. Let t(m) be the first derivative of -m**2\/2 - 9*m - 8. Let g be t(-8). Put g, -2, d, 0 in descending order.\nAnswer: 0, g, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 63.14.\nAnswer: 63.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let l(q) = -1049*q + 37. Let y(g) = l(g) - 5*z(g). Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + r**3 - 28*r**4 - 2*r - 2*r**2 - 1 + 31*r**4 + 3*r in the form a*r**4 + f*r**3 + z*r + p*r**2 + j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 863, 1295, 1727, 2159, 2591?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (73 - 62 - 25).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/6 + (-15)\/(-45). What are the prime factors of (468\/(-16))\/(x\/(-16))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6181 is divided by 281?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 204.\nAnswer: 13056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:18 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) - 1*sqrt(171))**2 - sqrt(19))*3 + (sqrt(475)*-1 - sqrt(171)\/(sqrt(9)*2)).\nAnswer: -456 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 793 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17288 (b) -1 (c) 0.02 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2857, -2859, -2861?\n\"Answer: -2*q - 2855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 less than -18601\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94295569.\nAnswer: 61, 107, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -89*g**2. Suppose -3*v = -z - 17 - 6, 45 = 5*v + 5*z. Let w(n) = 25*n - v*n - 7*n - 5*n - 4*n. Calculate w(m(k)).\nAnswer: -89*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*k + 93 = 2*u, 3*k + 49 = 2*u. What is the remainder when (-232)\/(-5) + (-8)\/20 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:54 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 283440217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 + 3*h**2 + h - 4. Let d(s) = -7*s**3 + 5*s**2 + s - 7. Determine -3*d(m) + 5*x(m).\nAnswer: m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 7*o + 17. Let r be k(4). Suppose 3 = 2*n - r. Factor 0*u**2 - 1\/2*u**5 + 0*u**n + u**3 + 0 - 1\/2*u.\nAnswer: -u*(u - 1)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137 times -0.02684?\nAnswer: -57.35708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*m**2*v*w**2 + 2493*m**2*v*w + 9*m*w**2 + 2614*m - 2*v*w wrt m.\nAnswer: 50*v*w**2 + 4986*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9522?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = -1256*n - 85766 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2490*r - 2486*r + 22, 5*r + 29 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-721)\/(-309) - (5 + -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6) + 635\/9*12\/(-20)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-11 - -1) + (-243 - -229).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)\/l*l*l)**(-6\/23) assuming l is positive.\nAnswer: l**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347\/5 - 946\/15. Let s = 89\/15 - i. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 - 5*u - 1. Is y(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 22*n + 161. What is the greatest common divisor of 92 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 2*m - 12. Let v(q) = -q**3 - 4*q**2 + 7. Let f be v(0). Is 3 a factor of y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000408878 to six decimal places.\nAnswer: 0.000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i - 91. Let d be b(-6). Suppose -y + 31 = d*w + 21, 5*y = 3*w - 6. Let -1\/11*s**w - 8\/11 - 6\/11*s = 0. Calculate s.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 36*t - 814. What is the remainder when 143 is divided by t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = -2*y, -1168*x = -4*y - 1165*x + 15. Solve -4\/5*g**4 + 2\/5*g**5 - 6\/5*g**3 + y*g + 0*g**2 + 0 = 0 for g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-11) + -10*4\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648138539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaahhaaahaaaaaaa. Give prob of sequence aha.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + -11 + 6 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.033 + -2.787. Let k = -12.82 - g. What is the third smallest value in 0, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - t - 2*t. Let o(r) = 49*r + 175. Let c(a) = -3*a - 10. Let l(d) = 35*c(d) + 2*o(d). Determine l(b(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1884 and 4.7.\nAnswer: 1888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1159\/69 - 20\/23. Let u be (9\/12)\/((-4)\/(-14192)). Let a = u + -175667\/66. Find the common denominator of h and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-34)\/u)\/((u*u**(1\/21))\/u*u)*(u**(12\/11)\/u*u)\/((u*u**0)\/u) assuming u is positive.\nAnswer: u**(-8075\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43310 + 0?\nAnswer: -43310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3705 and 63\/130.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1552.036 - -1552. Put 0.1, g, 6 in decreasing order.\nAnswer: 6, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81405 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6139\/4 - 141205\/92. What is the closest to -1\/2 in c, -5, 9\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {a: 5, w: 5, h: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/20 and -37\/70251026.\nAnswer: 702510260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011775 rounded to 6 decimal places?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4212 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9413 and -22839.\nAnswer: -214983507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 2, b: 5, s: 2, k: 9}. What is prob of sequence xsbx?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**(-3\/8)*(z\/((z**(1\/11)*z)\/z))\/z*z*z**7 assuming z is positive.\nAnswer: z**(663\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128473, 127194, 125913, 124630, 123345, 122058?\nAnswer: 120769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2116405, -2116406, -2116407, -2116408, -2116409, -2116410?\n\"Answer: -r - 2116404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -19 (b) -163761 (c) -1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011010 (base 4) to base 2.\nAnswer: 101000101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - d + 1. Let u(r) = 476*r**2 + 34*r - 34. Calculate -102*k(s) - 3*u(s).\nAnswer: -1224*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**3 + 2*f**2 + 2*f + 2. Let t(n) be the second derivative of -4*n**5\/5 + 7*n**4\/12 + 7*n**3\/6 + 7*n**2\/2 - 21*n + 3. What is -7*o(z) + 2*t(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5170643 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.713 + -0.973. Let t = -23 + 18. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 1\/3*w**3 + 0*w**2 + 0 - 3*w. Give x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116398*m**3*r**2 + 2*m**3*r - 2731*m**3 - 6 wrt r.\nAnswer: 232796*m**3*r + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -1249 (c) 12 (d) 0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-2)\/120)\/((-15)\/(-12)))\/(96\/5080) and 49\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 3, 1, -3, -9, -17?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31460 and 37960?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3627 = -19*i - 3532. Solve 7*a + 3*l = 9*a, 25 = -i*a - 5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/14, 2\/7, -1\/5 in decreasing order.\nAnswer: 2\/7, 1\/14, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -8*h + 2. Is (-6)\/18*(-14 + h) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/588*(-18)\/4. Let c = 621\/2156 + v. Let f = 2\/33 + c. Is f greater than -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3111902 - 2071902. What is u rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 - 72*m**3 - 6*m**2 + 83*m - 62.\nAnswer: 24*m**2 - 432*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2117 - -6347\/3. Which is greater: -344 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**2*v**3 - 2*t**2*v**2 - 2*t*v**3 + 68*v**3 - 11001*v**2 wrt v.\nAnswer: 54*t**2 - 12*t + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -56577*t**2. Let y(j) = 2*j**2. Give y(k(u)).\nAnswer: 6401913858*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6539*l**3 - 3*l**2 + 6513*l**3 - 1 + 3*l**2.\nAnswer: -26*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -248, -249, -250, -251?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 - 46 - (-1 + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 115286208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.62 + -8. Let m = g - 0.02. Let t = 17159 + -17160. Put t, m, -7 in ascending order.\nAnswer: -7, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4*s + 11. Let q be o(2). Let j(a) be the third derivative of a**5\/60 - 3*a**4\/8 + a**3\/3 - a**2. Give j(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26425 = 160*m - 26265 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-24))\/(25\/(-200)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(77)*1*3*-6)\/(((sqrt(280) + 2*sqrt(280))\/sqrt(8))\/(6*sqrt(20)\/sqrt(4))))**2.\nAnswer: 216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -145, -3\/4, 1, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let o(s) = -126*s**2 + 90*s + 69. Let y(x) = -25*x**2 + 18*x + 14. Let t(h) = 4*o(h) - 21*y(h). What is 18*j(f) - t(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**3 + 2*r**2 - 4. Let t be k(-4). Suppose 4*a + t = 11*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7705, 7708, 7721, 7750, 7801, 7880?\n\"Answer: n**3 - n**2 - n + 7706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let c(o) = 10*o + 3. Give -2*c(x) + 22*q(x).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l. Let x be ((-6)\/1)\/(2\/(-3)). Let d = x - l. Solve 4*c + d - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 6*k**2 - k + 1. Let s be v(5). Let a be (1 + s\/6)*-4. Calculate the common denominator of 68\/12*a\/(-16) and -29\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3039797514 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.963 + 0.037. Let d = -36 + p. Let c = -4 + d. Sort -0.5, 31, c.\nAnswer: -0.5, c, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 952 and 29176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h - 32 = -52*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2024011mm to kilometers.\nAnswer: 0.0000002024011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in -298.5, 2\/15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 <= 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 10) + (-1 - (2 - (-5 - -2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + k - 52, 5*k - 3*k - 54 = -5*z. Suppose -7*m = -z*m + 306. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 - 3*y - 8. Let r be o(6). Suppose 4*x = 5*x - r. Let i be 2\/3 - x\/15. Solve 2*f + i - 6 = 0, -f + 18 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13301)\/(-1981) - (-2)\/7. Solve -5*s + 15 = 2*x, -4*x - o = -s - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 3, -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*t**3 - 207*t**3 - 22*t**3 + (-2 + 2 + 3*t)*(-1 - 4 - 2*t**2 + 2) in the form x + h*t + g*t**2 + f*t**3 and give f.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*p**2*w - 4997*p**2 - 182*p*w**2 + 20*p*w + 33*p + 1 wrt w.\nAnswer: -55*p**2 - 364*p*w + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4660 is divided by 374.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l. Suppose -5*z + 14 + 1 = 0. Let d be ((-15)\/z)\/(-1) + -3. Let u(v) = -2*v + d*v + 0*v - 2*v. Calculate u(b(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/4 - 1717*g. Let j(p) = -2613*p. What is h(j(x))?\nAnswer: -20483307*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) -1\/3 (b) -2475 (c) -0.2 (d) -2\/11 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 60 = 12*g. Solve g*d + 9 = -3*k, 5*d - 4*k + 6 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*8\/10. Let r(z) = z**2 + 11*z - 9. Let j(n) = -n + 1. Let h(c) = u*r(c) + 18*j(c). Find the second derivative of h(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-21))\/(145\/(-70)*-4). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-32)*5040\/(-810)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 10. Sort -2, 0, l, 5 in descending order.\nAnswer: 5, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.516129 millilitres?\nAnswer: 0.000516129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-431)\/(-5) - ((-40)\/50)\/(-4). Is 5\/(-1) + (t - 0)*122 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -525*r + 520*r. Determine q, given that -27\/4*q**r - 15\/4*q**3 - 21\/4*q - 3\/2 - 3\/4*q**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -91*d + 9. Let x(t) = -23*t + 2. What is 2*w(f) - 9*x(f)?\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 301.0002ng?\nAnswer: 0.0000003010002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -219, -0.13, -0.4 in decreasing order.\nAnswer: -0.13, -0.4, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3797, -15018, -33667, -59744, -93249?\nAnswer: -134182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 17171?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + f + 0*f + f + 0*f + f - 5 + 5 + (-f + 2*f + f)*(-1 - 1 + 4) - 3*f + 4*f - 3*f + 497*f - 323*f + 109*f + 602*f.\nAnswer: 890*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 66.7\nAnswer: -71.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*t**3 + 69*m**2*u**2 + 2*m*t**3*u - 153*u**2 wrt m.\nAnswer: -4*t**3 + 138*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 7231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010034 to 4 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2987*n**2\/2 - 5150*n + 944. Find the first derivative of h(o) wrt o.\nAnswer: -2987","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 196.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1476866368 divided by -4\nAnswer: -369216592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4. Suppose 2 - u = -m. Calculate the lowest common multiple of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 91*q. Let x(z) = -267 + 583 + 24*z - 318. Calculate x(i(n)).\nAnswer: 2184*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -39*g + 212 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*p - 6, 5*f - 4*p - 22 = -2*p. Let x = -7 - -3. Put x, 3, f in decreasing order.\nAnswer: f, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.654793kg to grams.\nAnswer: 3654.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471732, -471734, -471736?\nAnswer: -471738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(4500)*2 - (sqrt(45) - (sqrt(5445) - 2*sqrt(5445))))*-3)\/(2*-1*sqrt(324) + (sqrt(324) - 1*sqrt(324)*-4) + sqrt(324)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + w = -6*p + 42, -3*w - 159*p + 20 = -154*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122324752*d**4 - 10559230 wrt d.\nAnswer: -489299008*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6*z - 1286*t**4*z**3 - 12*t**2 - 87*t*z**3 wrt t?\nAnswer: 240*t**3*z - 30864*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263246 (base 7) in base 12?\nAnswer: 268a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7399568\/59 or -125417?\nAnswer: -125417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-53.2263\nAnswer: -5.32263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*r**2\/11 - 404568*r\/11 + 3518\/11 = 0 for r.\nAnswer: -1759, 1\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 23729*x. Let h(c) = c. Determine g(h(l)).\nAnswer: 23729*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/9)\/(-8)*(-3)\/20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3787, -3852, -3923, -4000, -4083?\n\"Answer: -3*v**2 - 56*v - 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 74*d**2 + d - 4. What is u(1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -29345.\nAnswer: -3\/29345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 351775 = 9*h, 0 = 23*h - 25*h + 5*w + 78215. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-4)*8\/28*-110. Factor -78 + 2*s + 39 + 24 + m - 2*s**2.\nAnswer: -2*(s - 5)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.961 * -0.1.\nAnswer: 8.8961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056988 and -552.\nAnswer: 31.457376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**2 - 1. Let s(b) = 16246*b**2 + 2*b + 3. What is -3*m(i) - s(i)?\nAnswer: -16282*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4431 + 4429. Which is the third smallest value? (a) 0.4 (b) -4\/3 (c) 2\/13 (d) 23\/3 (e) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67 - 59225?\nAnswer: -59290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/8*4*(-96)\/(-28). Let w be 7\/(-56) - 51\/(-24). Solve -w*a + 5*l = -p, 4*l + 6 = 3*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13288 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 546*n**3 + 96 + 38*n + n**2 - 56*n**3 - 38*n + 57*n**3 wrt n?\nAnswer: 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-51) - 420\/102. Let o(j) = -j**2 - 1 + 3*j - 2*j**3 - 4 - 2*j**3. Is o(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 11*z**2 + 24*z - 27. Let f be u(-13). Which is the biggest value? (a) f (b) 0.03 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a4 - 2?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 962002912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*i + 54*i - 43*i)*(8 + 6 + 12).\nAnswer: 2054*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 498 = 3*j. Calculate the remainder when j is divided by 51\/(-2)*48\/(-108)*3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3. Let i(c) = 3*c**3 + c**2 + 27. What is i(k) + 5*l(k)?\nAnswer: -2*k**3 + k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.102 and -2?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.1 + -8. Let x = b + -0.1. Let c = -0.011 + -4.989. Put c, -6, x in ascending order.\nAnswer: -6, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 670 + 100*t + 591 + 1923*t + 230 - 411 wrt t.\nAnswer: 2023","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.188107l in millilitres?\nAnswer: 3188.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -13, 2, -0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*a - 2 - a**3 + 0*a**2 - 7*a + 3*a + 36*a + 31*a**4 + a**2 as r*a**4 + g*a**3 + x*a + f*a**2 + s and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-3 + (0 - -1) - (211 - 213)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 224*a + 0 - 256*a + 39*a**2 wrt a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10830)\/45125)\/(88\/(-100)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {j: 1, q: 1, m: 2, w: 1, l: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 345. Let r be (-13078)\/d + 2\/8. Let h = -236\/3 + r. Is -2 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001000100100 + -1?\nAnswer: -1100001000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2 - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 9*j**2 + j + 10. Let f be r(-9). What are the prime factors of (f - -1)\/((-1)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 255, 326, 449, 624?\n\"Answer: 26*t**2 - 7*t + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -1.707?\nAnswer: 20.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(72) + -3)*6 - (3 + -3*(sqrt(72) + sqrt(72)*1 + 0)))**2 + 3.\nAnswer: -2736*sqrt(2) + 10732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 49\/5100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*o = 4754387 + 620444 - 4057. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*i - 11*i + 6*i + (-5*i + 8*i - 2*i)*(-1 + 1 - 2))*(-2*i + 3 - 3) in the form c*i**2 + b + m*i and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 5*r - 6. Let x(p) be the first derivative of 13*p**3\/3 + 9*p**2\/2 + 11*p - 3. Let a(v) = 11*f(v) + 6*x(v). Give a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -2*2\/(-4). Suppose o - 14 = -y. Solve 4*a = 2*q + o, 0*q + 3*q = 4*a - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/12 - (-2 - 1 - (-46 + 45))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 12*u**2 + 11*u + 21. Let y be c(12). Let k = y + 11. Let b = -84 + k. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h = 94*h + 2340. What is the highest common factor of h and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -62*h + 1607. Give k(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2311, -1540 in increasing order.\nAnswer: -1540, -4, 2311","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -33a9c62?\nAnswer: -33a9c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 + 90 - 14*d + 98)*(0*d + 4*d - 3*d).\nAnswer: -14*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/23 + 149\/207. Let k = 11\/18 - p. Let f be (-5)\/(-75) - 2\/(-6). Which is the closest to f? (a) -2\/7 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(208) + 0 - sqrt(208)) + 0 + -2 + sqrt(208) - (-2*sqrt(208)*1 - (0 + sqrt(208) + -5)**2).\nAnswer: -28*sqrt(13) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3533?\nAnswer: 706.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -184, -385, -600, -835, -1096?\n\"Answer: -u**3 - u**2 - 191*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36153586, -36153584, -36153582, -36153580, -36153578?\nAnswer: -36153576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -50 - (11 + 11)) + -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6837 and 5.7?\nAnswer: -38970.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-440)\/(-35) - (-8)\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10418 - -10441. Solve 9*o + 95 = t for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*b - b + 1404 = -22*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13175492 greater than 13175497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 42720172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 8. Let u be k(6). Let l = 98 + -99. What is the nearest to -2\/5 in 0, u, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/10 - 4*b**3\/15 + b**2\/5 + 343. Factor r(k).\nAnswer: 2*k*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3)**8*(p**(-2\/3)\/p*p)**11)**(-2\/79) assuming p is positive.\nAnswer: p**(-100\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*h - 29*h - 24*h)*(-4*h + 2*h + 0*h) in the form w + k*h + i*h**2 and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 111, -26, -1281, -4.\nAnswer: -1281, -26, -4, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22\/4*26\/286*(-4)\/36*148\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 12*x**2 - 22*x - 18. Let y be p(-10). Suppose 0 = -t - 0*t - y*i + 112, 3*t - 301 = i. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2 + 351. Let x(n) = 3*n. Give b(x(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(608\/(-12)))\/(18\/(-66))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o\/(o*o\/o**4))*o*o*o*o)\/o*o)\/o**6)**(-48)\/((o**(1\/3)\/o)**(-2\/5))**(-2\/139) assuming o is positive.\nAnswer: o**(200168\/2085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose -3799990 = 5*w - 0*w - 2*g, -n*w - 2*g - 3800010 = 0. Round w to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321720 divided by 1149.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1194 and 75\/2944.\nAnswer: 1757568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6)*(36 - 3). Let b(m) = -m**3 + 2*m**2 - 4. Let j(w) = 3*w**3 - 5*w**2 + 11. Give h*b(v) - 4*j(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/20 - t**4\/12 + t**3\/2 - 9*t**2\/2 + 2*t. List the prime factors of f(7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axcuu. What is prob of picking 1 u and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (43\/(-4))\/(110\/(-95)). Let s = 75\/8 - g. Put 0.02, s, 6\/7 in increasing order.\nAnswer: 0.02, s, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 490*r**2 + 17*r + 31. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.66637 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 - 20*r**2 - 3. Let h be n(5). Let b(a) = -2*a**3 + 3*a. Let u = 0 + -7. Let q = u - -8. Let z(j) = -j**3 + j. Give h*z(s) + q*b(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 255795240 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 222?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 3813622*t**2 + 15254482*t - 15254480.\nAnswer: (t - 7627240)*(t - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + (-1650)\/(-570)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274021910.46 plus 5?\nAnswer: 274021915.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**3 - 4*c**3 + (-3*c**2 + 6*c**2 - c**2)*(-3*c + 2*c + 3*c) - 38912 - 1338*c**3 + 38912.\nAnswer: -1335*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22221011221121 (base 3) to base 8.\nAnswer: -22067712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1765.\nAnswer: 4\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4689000 - -2588568. Let f = g - -2100419.00043. Let w = f - -13. What is w rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84609 divided by 17?\nAnswer: -4977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*o - 55*v + 50*v, 4*v + 16 = -o. Solve -3*k - 7 = 2*q - 2, o*q = -5*k - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -7\/120*n**5 + 2*n**3 + 0*n - 1\/24*n**4 + 10 + 0*n**2. Let q(o) be the third derivative of f(o). Determine q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(1700) + (sqrt(1700) + 3 - sqrt(1700) - sqrt(1700))**2 + 1*sqrt(1700) + 5 + sqrt(1700).\nAnswer: -30*sqrt(17) + 1714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 5429097.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)*(2 - 33). Let u = h + 47. Suppose 0 = -7*c + 3*c - u, 0 = -4*b - 2*c + 48. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:00 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81515666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3799.1095 - 27.\nAnswer: -3826.1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-77)\/(-28))\/(((-12)\/(-176))\/(-3)). Let o = 128 + h. What is the remainder when 179 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 - f - f**2 + 4*f**2)*(6 + 6*f**2 - 9 + 5) to the form q + w*f**2 + h*f**3 + n*f + l*f**4 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 3, c: 4}. What is prob of picking 3 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from efgbbbefg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12*c = -16*c + 40, 3*y = 3*c - 39. Let j(t) = 2*t + 31. Let o be j(y). Solve 3*u - 5*w = -o, -5*u + 0*w - 2*w - 22 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 18. Let m be (20\/6)\/((-16)\/(-12)) + -3. Which is the nearest to -1? (a) m (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) 0 (c) -6 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151 + 162. What is the remainder when 245 is divided by -156*(-70)\/330 + (-1)\/d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 1359360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14685 - -14697. Suppose -j + 3 = -2. What is the second derivative of o**5 + 8*o**3 - l*o**3 - j*o + 4*o**3 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503044943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a (base 11) in base 14?\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*n = 2*n - 211, 0 = 3*q - 3*n - 324. What is the remainder when (-4)\/6 - q\/(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11763941005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 32 - 20*q + 34*q + q**2. Let u be a(16). Suppose 5*m + 6 = 26. Solve -m*b - b = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*k + 10, 5*k + 5*t = -15 + 5. Let x(w) = -w. Let b be x(k). Let o be -2 - (b\/1 - 2). Solve 0 = 5*u - 3*q + 14, o*q = -3*u - 3*q + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.311 (b) -1\/6 (c) 4 (d) 4\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18719761.205 rounded to the nearest 1000?\nAnswer: -18720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8077901 by -19279.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35*(-11)\/((-847)\/22). Solve -c*d = -5*d + 4*n + 15, -3*n = 2*d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 1. Let l be v(1). Suppose 17 = 5*f + l. Suppose -f = r - 8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c1 - 11c?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*q + 0*q - 4*q + 165 = 0, 3*h + 297*q = 308*q - 250 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703401773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.818346mg?\nAnswer: 818346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let f(i) be the first derivative of 3*i**2\/2 - 5. Determine f(l(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from {j: 5, s: 3, z: 1, e: 4, m: 2, y: 5}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 38\/10513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -128585, -128587, -128589, -128591?\n\"Answer: -2*f - 128583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 19797 = 16*d - 4*x, 2*d - 5*x - 13198 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*t - 3*b - 35*t - 2 wrt b?\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45524 * 2\nAnswer: -91048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/2 of a meter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1266 and 31\/8.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-25) + (-4)\/(-5). Suppose z = -d*q + 6*q - 21, 24 = 5*q + z. Let x be (-35)\/40 + (-1)\/8. Put x, 3, q, 4 in increasing order.\nAnswer: x, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64385844 is divided by 16096453.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*6\/5*3. Let b(p) = -p**3 - 11*p**2 - 8*p + 11. Let m be b(-10). Let z = m + g. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 445*o - 454*o + 891*o + 528, 4*t - 2*o + 146 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by -1?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.4134 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:35 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202164 (base 8) to base 14.\nAnswer: 1a428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 22*n**3 + 21*n**2 + 14*n**3.\nAnswer: -8*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6857 - 6859. Which is smaller: 1735 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 16*j + 6*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose -2*r + a - 43 = 0, -14*a - 10 = -12*a. Let m be 44\/h - 8\/r. Calculate the highest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 27 - 4 - n + 2*n. Let j(h) = -3. Let c(t) = 24*j(t) + 3*q(t). Differentiate c(f) with respect to f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j. Let s be n(2). Suppose -17 = -4*k - x - s, k - 4*x = -1. Suppose k*o + 0 - 117 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*a, r + 5*a - 19 + 34 = 0. Solve -q = -25*q - r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110101111010100100110111 + -1?\nAnswer: 1001110101111010100100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29209*c**2 + 444*c - 4488*c + 29536*c**2 wrt c?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1123, 1122, 1099, 1042, 939, 778, 547?\n\"Answer: -2*b**3 + b**2 + 10*b + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47850245*z**2 + 156193617*z wrt z.\nAnswer: -95700490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 730.\nAnswer: 19\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401735658 divided by -3523997.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 5*x + 1 + 2*x**5 - 2*x**5 + 2*x**2 - 2*x**2 - 2*x**5 - x**5 + 4*x**5 + (4 - 3 + 0)*(-2 + 2 - 2*x**5).\nAnswer: -x**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7426186 - -10673802. Suppose n = t - 18100003, 3*n - 4*n - 4*t = y. Round n to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1708 by 5.\nAnswer: 1708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 938467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281883485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v - 14 + 0*v - v**2 + 6*v. Let j be m(12). Is (2086\/21)\/(j\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:07 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -19*f + 79, -24817*f + 24819*f = 4*t - t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11803 or -11838?\nAnswer: -11838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-12) - 2 - 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 12 + 0 + -14 + (6 - -23)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y*y*y**0*y*y)\/y)\/y)\/y))**(-15)\/(y**0)**(4\/9))\/(((y\/y**(2\/3))\/y)**23)**(-42) assuming y is positive.\nAnswer: y**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88.30672ml?\nAnswer: 0.08830672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 4. Suppose j*b = -2*l - 2*l + 14, 0 = -5*l - 2*b + 15. Are 1\/7 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 21 - -20) + 59 + -187\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**8)*x**8)\/(x**2*x\/(x\/(x\/(x*x**8)))*x) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 (base 6) in base 9?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da1b + 3c?\nAnswer: -d9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 + 1445\/4. What is the closest to 2\/5 in -0.3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 56. Let m = -25 + n. Suppose 4*x + 4*h = -20, -m*x - 2*x + 4*h = -20. Solve -5*p = -3*c - 12, 7*c - 5*c + 2*p + 8 = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 149*v - 10. Let k be c(15). Let x = -1.9 + 2. Let d = 0.4 + x. Sort d, 4, k, 0.1 in descending order.\nAnswer: k, 4, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 4 - 4 - 38*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1165, -13.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/3 - 3*v**2\/2 + v. Let s be (1 + 2 - 4)*-3. What is the units digit of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 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: Is 244794857 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*w + 5)*(-2 + 3 + 1) + (25*w + 7*w + 2*w)*(0 + 5 - 4) - w + 2*w + w - 5*w + w + 2*w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 37180.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72796.36 kilometers to micrometers.\nAnswer: 72796360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.4 (c) -2\/131 (d) -0.0739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 297022 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) + -2 - -10. Suppose 9 = 3*x, -5*x + a = -d - d. What are the prime factors of ((-3)\/d)\/((-3)\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**2 - 23*t + 9. Let q(p) = 13*p**2 - 34*p + 14. Let r(w) = 5*q(w) - 7*y(w). Let b(d) = -d**2 + 5*d - 4. Determine -5*b(j) - 3*r(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 98*i**2 + 1178*i + 1973. Determine v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*k - 54, 0 = 3*r - 0*k - 3*k - 54. Suppose r*b - 3510 = -954. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 628857.9mg?\nAnswer: 628.8579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 23*f**2 + 11*f + 14. What is the remainder when 263 is divided by d(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931184 is divided by 7964.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 197?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)\/((90\/12)\/15). Is (-508)\/o*(7 + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36861941 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 4. Suppose 13*v + 50 + 54 = 0. Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/345 and 149\/60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/47, 3\/5, -28130?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 3*j**3 - 2*j**3)*(3*j**2 + 3*j**2 + 0*j**2) + j**5 + 10*j**5 + 4*j**5.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44383.\nAnswer: 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1414\/943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.670589 to 3 dps.\nAnswer: -0.671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10. Solve o*l + 4 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6775, -13329, -19441, -24889, -29451?\nAnswer: -32905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/6) + 0. Suppose -4*k + 57 = -k. Suppose 2*n - 5*r + g*r = k, 2*n = 5*r + 21. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2 - -3)*-5). Let l = 9 - 14. Let u = 0.18 + -0.08. What is the nearest to 0.2 in u, l, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.26882 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 + 93*u\/4 - 45\/2.\nAnswer: -3*(u - 30)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14800416 and 22200624.\nAnswer: 44401248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + q**2 - q - 14 + (4 + 1 - 2)*(282 + 116*q**2 - 282 + (-5*q + q + 0*q)*(0 - q + 0)).\nAnswer: 361*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210302 + -21332000?\nAnswer: -33202302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -127755 bigger than -125668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = 4*m, 3*m - 5*m = u + 6. Suppose 0 = p - 3, -18*l + u*p + 24 = -16*l. Calculate the remainder when 157 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2 + 3*d - 1. Let h(t) = -10*t**2 + 2*t - 1. Let o(n) = -5*h(n) + 4*l(n). Let g be (1 - (3 - 1))\/1. Calculate o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29168 + -76057. Let r = -46869.073 - j. Let y = -20 + r. Round y to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 4, h: 1, f: 5}. What is prob of sequence ggf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 136?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 53*c + 69. Let a be p(54). What is the derivative of 179 + a*h**4 + 6*h**4 - h**4 - 9*h**4 - 16 - 2*h**3 wrt h?\nAnswer: 44*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 22. Solve -3*c = o, c - 2 = 4*o - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:15 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.1371 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*o + 107179, o - 15*x - 21407 = -18*x. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -13*f + 3850. Let d be (144\/28)\/(-3 - f\/182). Calculate the highest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) + 2) - ((sqrt(112) - 6*2*sqrt(112)) + sqrt(112)))**2 - 5*-6*(sqrt(7) + (-2*sqrt(343))**2 - ((sqrt(7) - (5 + sqrt(7) + 1)) + sqrt(7))).\nAnswer: -400*sqrt(7) + 44240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 17*k**3 + 6*k**3 - 4*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*d - 10. Let w be 4 + (d - -4) - 0. Suppose 0*p + w*p - 99 = 0. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = x - 3. Let q be x\/(-1)*(-1)\/(-2). Find the second derivative of -q*d + 3*d + d**4 + 0*d**4 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79 and 1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -17) + -11 + -4 + 0 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3 + (-2 - 0)). Let s be -1 - (n + (0 - 3)). Let q be (3\/(-6))\/(1\/(-4)). Solve 0 = -q*v - 0 - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*g = -147*g + 120 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 + 4 - 4)*(-3*q + 2 - 2)*(-q + 2*q + 2*q).\nAnswer: -9*q**3 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*(u\/((u**2\/u*u*u)\/u)*u)\/u*u**(2\/5)*u*u**(-1\/4)*u*u)**(13\/4) assuming u is positive.\nAnswer: u**(507\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*t + 128, 1897*t = -5*m + 1901*t + 126 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 2*f - 6. Let k(p) = p**3 + 7*p**2 - p - 9. Let b be k(-7). Let o be (-36)\/(-4) + b*2. What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 285 - 817 = -66*c - 42*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9921044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*r - 93*r + 576. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -145, -143, -141, -139, -137, -135?\n\"Answer: 2*o - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 594 - 592. Sort 0, d, 11.\nAnswer: 0, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z**2 + 55*z**2 + 10*z - 14*z**2 - 14 - 18*z**2. Let t be h(9). Let a(k) = k**3 + 9*k**2 - 3*k + 3. What is the tens digit of a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - -22. Let k be (-2)\/5 + 324\/(-15). Let l = 36 + k. What is the remainder when p is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, m: 1, s: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 12 - 9) + -47 + 11\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 5, -15 in decreasing order.\nAnswer: 5, -1, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-22))\/((-2)\/16). Let q(l) = 30*l**3 + 11*l. Let v(d) = -20630*d**3 + d**2 + 10316*d**3 + 10320*d**3 + 2*d - d**2. Calculate k*q(x) - 22*v(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i**2 - 5*i - 1. Let u(v) = v**3 + 20*v**2 + 21*v - 4. Let l be u(-19). Let w = 46 + l. What is the hundreds digit of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 - 13 = 0. Let n be 68\/q*15\/(-10). Suppose -38*m = -39*m + n. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose d*x + x - 1 = l, -2*l = -5*x. Let p = 5 - x. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -227, 0, 4, -2, 3 in decreasing order.\nAnswer: 108, 4, 3, 0, -2, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-803*t**2 + 1596*t**2 - 709*t - 795*t**2)*(3*t + 9*t + 4*t) in the form k + d*t**3 + z*t**2 + w*t and give z.\nAnswer: -11344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:55 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*l - 5*l - 5*l)*(l - 5*l + 2*l)*(-2*l + 2*l + 2*l) + 4*l + l**3 - l - l to p + i*l**2 + c*l + z*l**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/(4\/(-60)). Suppose -n - 2*n = 9, 4*u - c*n = 79. Let k = u + 9. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 5, d: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4026999*a*i**3 + 192*a*i**2 - 4*a*i + 2*a + 34*i**2 + i wrt i?\nAnswer: 24161994*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 261121.59 seconds in minutes?\nAnswer: 4352.0265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:20 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 + -85. Let x = 46 - g. What is the remainder when 27 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 26*s - 49. Let u be z(-2). Sort -5, 0, -2, u in decreasing order.\nAnswer: u, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 != 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 0.14285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3909, 7809, 11675, 15483, 19209, 22829, 26319, 29655?\n\"Answer: -4*l**3 + 7*l**2 + 3907*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400648537*o + 66633130 with respect to o.\nAnswer: -400648537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270325 is divided by 384?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + 1 - 1 + (2*z**2 + 2*z**2 - 2*z**2)*(-4*z - 2*z + 5*z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**3 + 5*w**2 + 5*w + 4. Let g(h) = 6*h**3 + 5*h**2 + 4*h + 3. Let b(d) = -6*g(d) + 5*y(d). Let x(k) = -16*k - 245. Let q be x(-15). What is b(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12377118 and 29\/2140?\nAnswer: 123771180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362854002, 725708004, 1088562008, 1451416014, 1814270022?\nAnswer: 2177124032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbsbssssss. What is prob of sequence sbs?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23361.06 rounded to the nearest 10?\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + f**3 + 0*f**2 - 2*f - 240*f**4 + 292*f**4 - f**2 as q*f**2 + j + x*f**4 + u*f**3 + t*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 + 264225*a + 16393482 = 0. What is a?\nAnswer: -62, 88137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 28 = -8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301 = -25*x - 394 - 507 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/3 (b) 1 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 2187 = -1407 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppplpzrppprpprpplz. What is prob of picking 2 p?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(2\/27))**(2\/43)\/((k*k**(3\/7)*k)\/k**(-1\/7)*(k**(1\/3))**(-4\/35)) assuming k is positive.\nAnswer: k**(-44078\/17415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**3 - 2*t**2 + 1. Is 4 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j)**15*(j\/((j\/(j\/j**1))\/j*j))**(7\/11) assuming j is positive.\nAnswer: j**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 1. Let d be l(2). Let t(j) = -j - 4. Let m be t(d). Let -16*s**m + 2 - 4*s**5 - 12*s**2 + 10*s**4 + 16*s**5 + 0 + 4*s = 0. Calculate s.\nAnswer: -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 10*s + 135. Let m be u(-30). Let o = m + 637. Calculate the least common multiple of o and 32.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7326964.\nAnswer: 2, 1831741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029221 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Let w be d(-5). Let x = w + 16. Calculate the remainder when 53 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 472, 518, 412, 154, -256?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -19. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(1\/2)\/s)*s**(-1\/6)*(s**(-1))**49 assuming s is positive.\nAnswer: s**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r\/r**(3\/7))\/r*r*r)\/r)\/(r**(1\/2)\/r))**(-6\/19) assuming r is positive.\nAnswer: r**(-129\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 139\/3*m**4 + 0 + 1258\/3*m**3 + 289*m**2 + 0*m + 4\/3*m**5 = 0.\nAnswer: -17, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*i*w**3*x + 87*i*w**3 + i*w**2*x - 2980*i*w**2 - 7015*i*x wrt x?\nAnswer: 42*i*w**3 + i*w**2 - 7015*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45229964041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00791 + 65.93209. Round a to 0 dps.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467842.8 months in millennia?\nAnswer: 38.9869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:06 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 11*k**2 + 14*k + 16. Let r be q(-12). Let a = 27 + r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 1284, 1444, 1490, 1332, 880, 44?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34509?\nAnswer: 3, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13972?\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 244?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 568 - 811. Let t = u + 257.06. What is t rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztzzttttttztzttttt. What is prob of picking 2 t?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09439 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from nllxnlnlxnlxllxlxnnn?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7880733299 + -0.15?\nAnswer: -7880733299.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*8\/(-16)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003714 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/2*1\/2. Suppose 5*y + 2*b - 25 = 0, y - 20 = -3*y + 3*b. What is the derivative of -1 - q*j + y*j + 9*j - 3 wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58945463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241*h + 31*h**3 + 61*h**2 - 16*h**3 + 39*h**3 - 59*h**2 wrt h?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -552*h**2 - 4. Let x be t(2). Let a = 3067 - x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000718854054 to seven decimal places.\nAnswer: 0.0007189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 245. Suppose 0 = -5*m + 3*o + 83 - 19, -5*m - 2*o + 49 = 0. Sort m, f, 0 in decreasing order.\nAnswer: m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhtvwwtcx. What is prob of sequence vcx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/6661624 and -11\/20.\nAnswer: 33308120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vqvvvvvqvvvvvqvv?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -17*v**8\/168 + 13*v**5\/20 + 3*v**2. Find the third derivative of k(o) wrt o.\nAnswer: -2040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 10 - 3) + (0 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 44*r**2 - 96*r = 0. Calculate r.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 8*n. Let u(l) = -9*l**3 + 23*l. Give -17*h(f) - 6*u(f).\nAnswer: 3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/15)\/(14\/(-485)) and 19\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897899 is divided by 549.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 18. What is r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76870, -153699, -230528, -307357, -384186?\n\"Answer: -76829*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7))**(2\/47))**17 assuming x is positive.\nAnswer: x**(-136\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -115. Let i = -42 - r. What is the nearest to 0.13 in -0.5, 5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71\/3? (a) 4 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 3*o + 3*o + 712 - 709.\nAnswer: 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-4)\/(8\/6). Suppose -x*k + 30 = -k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231 + 312220?\nAnswer: 321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226 + 440611?\nAnswer: 440352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3006791.\nAnswer: 3006791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -31 - 55008\/2112\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228917 * 25.\nAnswer: -5722925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -4 (b) 20 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 557741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12012 divided by -364.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -419 - -428. What is the remainder when 60 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2178, -4373, -6568, -8763, -10958?\nAnswer: -13153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/15 - 716*t\/15 + 16426 = 0 for t.\nAnswer: -573, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n**2 - 3*n)*(-10*n**2 - 704 + 112 - 398 + 13*n**2).\nAnswer: -6*n**4 + 1980*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**17*p**(-13)*p**(-4\/7)\/p*p**8 assuming p is positive.\nAnswer: p**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*q = 278 + 1177, -q = -2. List the prime factors of o.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:49 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 10:56 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 - 6*g - 8. Let d be c(6). Let n = -5 - d. What are the prime factors of (11 - 2) + -3 + n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6625 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hltjm. Give prob of sequence mj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*p - 3 = 0, 0*p + 12 = 4*z - 4*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -521.4*-6.338\nAnswer: 3304.6332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z. Let t(q) = 1065*q. Determine 495*j(x) + 6*t(x).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-3)\/(-9))*(-2 + 221). Let k = z + -58. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28551 is divided by 735.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6573550084 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = 12. Let w = -62 - -80. Calculate the highest common divisor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let m be i(-2). Suppose 0 = -2*d + m + 4. Let l be (-2)\/8 - (-75)\/204. Which is the third biggest value? (a) l (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2777779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1792) - sqrt(252)*4.\nAnswer: -8*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*z - 8 - 2 + 387*z - 12.\nAnswer: 297*z - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hloq when four letters picked without replacement from {q: 3, k: 1, l: 3, u: 1, h: 2, o: 3}?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83210979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 0.3 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 31 - 11. Suppose 3 + n = 4*j. Calculate the remainder when j\/12*-2*-213 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d - 1260 = 85*d + 83*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0*q**2 + 13*q + 0 - 11\/6*q**4 + 0*q**3 + 21\/10*q**5. Find the third derivative of x(i) wrt i.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 9*m + 20 = -3*m, 9*d - m = 14*d - 40 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j = 86*j - 5*a + 10, 2*j + 4 = 2*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**6\/40 + 11*w**5\/10 + 12*w**4 + w**2 - 272. Factor c(m).\nAnswer: 3*m*(m + 6)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1296 and 133\/1944.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let a be (1 - (2 + l)) + 8. Suppose -5*v = -2*h + 5*h - 40, 2*v - 15 = -h. Solve 5*q = -5*k + 5, v*q - a = -2*k + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1779, 2004, 2217, 2418?\n\"Answer: -6*w**2 + 243*w + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 + 191. Suppose 0 = -15*a - x + 3103. Is 178 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 1. Suppose -2*r - 4*i - 10 = 0, -3*r - 10 = 2*i - i. Let p(k) = -1 + 3*k + 0*k - 1. Suppose -6*z + 28 = -2*z. What is r*p(b) + z*y(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29868.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*p - 1084, 272 = 2*f + 2*p - 282. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**7\/2520 - h**6\/240 - h**5\/60 - 11*h**4\/12 - 22*h. Let m(o) be the third derivative of a(o). Calculate m(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1012 - -240?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) -65\/7 (c) 4 (d) 3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385213 and 1354.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202422?\nAnswer: 2, 3, 11, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/3 (b) 151 (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57896520.\nAnswer: 2, 3, 5, 11, 23, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 2*k)*((-3 + 2*k + 3)*(-2 - 2 + 5) - 2*k + 0*k - 4*k - 2*k + 1 - 1 + 27*k - 138*k - 30*k).\nAnswer: -441*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*n + 183*v - 181*v - 298 - 136 = 0, 4*n - 7 = -v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-108)\/(-18))\/(2\/71). Let i = r - 208. Solve -2*u + 10 = -i*g, -1 = -5*u + 3*g + 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 51?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3408 divided by 1.\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 3*s**2 + s + 1. Let v(b) = -69*b**3 - 18*b**2 + 116*b - 8. Let y(w) = -6*m(w) - v(w). What is the second derivative of y(t) wrt t?\nAnswer: 342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(1\/6)\/l)\/l*l*l**(-4)*l*l*l**1\/l**(1\/10))\/(l\/l**(1\/2)*l*l**(-3\/2)*(l\/(l\/l**(-1)*l))**(-2\/19)) assuming l is positive.\nAnswer: l**(-326\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/275)\/(8\/(-20)). Let t = 31 - 123\/4. Let d = -733 + 738. Which is the closest to t? (a) d (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*a - 4476 - 148*a + 544.\nAnswer: -a - 3932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2748*d**2*i**3*m + 3075*d**2*i*m**2*v - 4*d*i**2*m**2*v - d*i**2*m - 3*i**3*m**2 - 127*i**3*v - 16*m**2*v wrt i.\nAnswer: 16488*d**2*m - 18*m**2 - 762*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 124\/6 + 2\/6. Let i be (-112)\/b*6\/4. Let h be (-2)\/i + 1\/12. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, 94, 349, 688, 1105, 1594?\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 27. Let v be d(-5). Suppose v*x = 49*x + 3. Is 1\/84 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cggq when four letters picked without replacement from xjxxxxqxgxgxcjgxxcxx?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2391*d**2*l**3 + 459*d**2*l + 2*d**2 + 2*d*l**5 + 2*d*l wrt l?\nAnswer: -14346*d**2*l + 40*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1533)\/(-27) - 10\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 10766.6?\nAnswer: 10766.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 536 + 1766. Suppose 16*d = 18*d - o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19*m*m**4*m*(m*m**(2\/5))**(-4\/5))**(2\/5) assuming m is positive.\nAnswer: m**(1194\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 2 (c) 2\/15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 b, and 1 l when four letters picked without replacement from vbvvlxvbxxvll.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 13*o**2 + 8*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 6. Let x be d(-20). Let k be (2 - 7) + x\/8 + 2. Which is the closest to k? (a) -2\/7 (b) 8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Suppose s = 4*q + d, 4*q + 0 = -2*s - 16. Let z be 1 - s\/(6\/(-3)). Solve -2*j + 7*j = z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 8*z**3 - 8*z**2.\nAnswer: -2*z**2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2668*o**3*t + 634*o**3 - 245*o**2*t + 2*o**2 - 36 wrt o.\nAnswer: -16008*t + 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 42 in ascending order.\nAnswer: -6, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0120311 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*72\/(-150)*550\/88\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485616.\nAnswer: 2, 11, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/80483 and -73\/52?\nAnswer: 321932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 11*x**2 - 6*x - 7. Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -5) + 6 + 61 + 0 + -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*d + 57, 4*w - 2*d = -0*w - 102. Let m be -4*3\/w*26. What is the third derivative of 0 + m*f**2 - 2*f**3 - 1 + 1 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q - 14. Let i = -32 - q. Let l(g) = g**2 + 17*g + 24. Is 16 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 2:42 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (-7 + 9 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 - 5*k + 11. Let r = -51 - -55. Let p be z(r). Put 1, 4, -2, p in descending order.\nAnswer: p, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*(f\/(f\/(f*f**(2\/33)*f*f)))\/f)*f*f\/f**(1\/6)*(f\/((f*(f*f\/f**(2\/7))\/f*f*f)\/f))\/f*f**(-2\/17) assuming f is positive.\nAnswer: f**(-5391\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -94. Does 27 divide (-268)\/(-5) + (-3)\/((-75)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -8. Let k = 4 - f. Let d(m) = 9*m - 9. Is 18 a factor of d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/2*s**4 + 3\/2*s**3 - 2*s**2 + 0*s + 1\/5*s**5 + 12 + 1\/120*s**6. Give w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 38*z - 30.\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 4. Let u(c) = 6*c - 16 + 1 - 8. Determine -34*o(t) + 6*u(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106 + 4053*k**2 + 111 - 4218*k**2 - 3745*k**3 wrt k.\nAnswer: -22470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2668, -2967, -3266?\n\"Answer: -299*z - 2369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13065?\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*u. Let h(i) = 18*i. Let q be h(u). Let y = q + -8. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 31*c**2 - 85*c - 42. Let s be f(-28). Let r(p) = -p**2 - 23*p - 121. What is r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z + 5. Let c(v) = 68*v - 11. Let p(i) = -4*c(i) - 9*j(i). Is 14 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 6. Let p = -5 + l. Let u = -2.38 + p. What is u rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b - 67. Let r = -1100 + 1086. What is y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 95.7 and 152427.9.\nAnswer: 152523.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839765?\nAnswer: 5, 167953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4954 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.009 - -0.009. Let x = 33.999999992 + z. Round x to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.1 (c) -3404 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 14*i + 51 = 5*b, 0 = 5*b + i - 47. What is the lowest common multiple of b and (30*-1)\/(0\/(-2) + -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2. Let q(s) = -14*s. Let o(t) = -9*t**2 + t. Let c be o(1). Let d(n) = 5*n. Let u(l) = c*d(l) - 3*q(l). Give u(x(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 5*l**2 - 2*l**2)*(l + 0*l - 30 + 31)*(4*l**2 - 3*l**2 + 0*l**2).\nAnswer: -l**5 - l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 5, 2\/9, -0.3, -5637?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 193*g**2 - 1814*g + 44. Determine m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -641, -1469, -2635, -4139, -5981?\nAnswer: -8161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11745938.\nAnswer: 2, 5872969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {z: 4, e: 3, d: 4, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 3. Let l be q(1). Sort 5, -4, l in ascending order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21051619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5781 (base 13) to base 16.\nAnswer: -2ff1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1488733*q**3 + 579244 with respect to q.\nAnswer: 4466199*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 109*s**2 + 3357*s - 795. Determine x(-31).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/26)*s)\/s)\/(s**(-11)*s))**(-3\/5) assuming s is positive.\nAnswer: s**(-861\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788032461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h**2 - 2*h - 5. Let d(f) = -6*f**3 + 4*f**2 - 27*f - 20. Give 4*c(m) - d(m).\nAnswer: 2*m**3 + 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -44?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14382\/13 + -1108. Let l = n + 24\/13. Which is the third biggest value? (a) 2 (b) l (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {h: 9, k: 3, u: 2, i: 1, v: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 26. Suppose 5*y = l, 4*y + 2 = 5*b + 3. Let j be 2\/(-6) + 2\/6. Solve -2*p + n = j, -p - b*n = -6*n - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -5 + 26. Let m(y) be the second derivative of d*y - 1\/12*y**4 + 1\/20*y**5 - 1\/6*y**3 + 0 + 1\/30*y**6 + 0*y**2. Solve m(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 1652*j - 1656*j = -59, -2*j = -5*o - 67 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1727 + 838 + 13327*z + 889 as i*z + p and give i.\nAnswer: 13327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6798 - 6791. What is the least common multiple of 935 and s?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -650.24 - -514.2. Let h = 136 + y. Which is the second biggest value? (a) h (b) 2\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 9. Let m be 12\/(-15)*(-10)\/4. Suppose -m*t = t + 9. Which is the closest to -2\/7? (a) t (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -745, 0.05, -68, 4\/7, -2\/9, -1\/3, -2\/3?\nAnswer: -745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 44*g**3 + 12*g**2 + 2*g + 11. Let o(y) = 15*y**3 + 4*y**2 + y + 4. What is -8*o(h) + 3*x(h)?\nAnswer: 12*h**3 + 4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -3. Let b = w + -2. Suppose d = 2*d - 4*t + 3, 2*t = 0. Put b, d, 4\/3 in descending order.\nAnswer: 4\/3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 + -4. Let w be 3\/75*1900\/228. What is the nearest to 3.4 in w, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 46, 92, 162, 262, 398, 576, 802?\n\"Answer: p**3 + 3*p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*c - 2. Which is greater: -2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-660)\/(-20)*-3*(-2)\/18. Let s(r) = 21*r**2 - 14*r. Let z(c) = 4*c**2 - 3*c. Calculate p*z(t) - 2*s(t).\nAnswer: 2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. Let f = 5 - c. Suppose -33 = -t + f. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 26. Let t = 1.78 + 24.22. Let h = q - t. Which is the closest to 1? (a) h (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76643100 is divided by 145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yzzzzqqqyqyq?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 + 5 + -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 856345043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 6*z - 7. Let a = 18 + -11. Let l be d(a). Suppose 3*x - 2*u - 110 = -u, -l = -5*x + 3*u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191826427 smaller than 191826426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101341441?\nAnswer: 587, 172643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/120 - d**5\/12 + d**4\/4 - 15*d**2 - d. Factor o(j).\nAnswer: j*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946 = -4875*k + 5021*k - 13677 - 999 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 2463030.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2016531 divided by 684.\nAnswer: 224059\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 40. Give r(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**3 - 6*b**2 - 9*b - 7. Let a be r(-3). Let i = a - -2154\/11. Let g = 0.22 + 0.18. What is the nearest to 1 in i, g, 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 147.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1684 = -8*n + 316. Round n to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + o**3 - o**3 + (-3*o**3 + 4*o**3 + 2*o**3)*(-6 - 12 + 0) - 5 + 5 - 2*o**3)*(41*o**2 + 17 - 73*o**2 + 33*o**2).\nAnswer: -54*o**5 - 918*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/7, -21\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6630 and 39\/140.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4065443 - -4065422.00011. Let j = r + 21. Round j to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122175 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 + -770771.\nAnswer: -770772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9044104 to the nearest integer?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**4 + 21*m**3 + 5*m**2 - 76*m + 48. Let v(b) = b**4 + b**3 - b**2. Let p(s) = f(s) - 5*v(s). Factor p(y).\nAnswer: 2*(y - 1)**2*(y + 4)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2413 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 5*t + 45, 34*y + 2*t - 17 = 29*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/(-119))\/(1*(-1)\/(-7)). Let i = 1 + -1. Let z be (-2)\/5 + (-24)\/(-10). Solve -k - k = -4, i = x*a - z*k - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125270, 250573, 375902, 501251, 626614, 751985, 877358?\nAnswer: 1002727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172 (base 14) in base 10?\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2587200 divided by 4?\nAnswer: -646800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 16371 = -d, 5*d - 26*x + 23*x = 81807. Does 57 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d. Suppose -5*n = s + 6, -5*s - 4*n = -3 + 96. Let o(x) be the third derivative of x**4\/8 + 14*x**2. Determine s*o(y) + 6*i(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13768 is divided by 2844?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, 6, -1, -2, 0.28.\nAnswer: -2, -1, -0.5, 0.1, 0.28, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (2 - ((-12 - -5) + 9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 64316*j + 642960.\nAnswer: 2*(j + 10)*(j + 32148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/((-8)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 + 122. Which is the third biggest value? (a) j (b) -2 (c) 0.4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 + 51. Let l = o - 198. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)*u*u*u**(-8\/5))**(-4\/13)*((u*u**(2\/15)*u)\/(u\/u**(6\/11)))**(-18) assuming u is positive.\nAnswer: u**(-151418\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256437149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 13. Let k(l) = 12*l**3 - 2*l**2 - 6*l. Let g(w) = 25*w**3 - 4*w**2 - 13*w. Give a*k(s) - 6*g(s).\nAnswer: 6*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*k = -258*k - 3564. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 106, 868, 2928, 6934, 13534?\n\"Answer: 108*x**3 + x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -13. Solve q*n + 0*z + z - 8 = 0, -4*z - 36 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -10. Calculate the remainder when 57 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 22*x**2 + 29*x + 12. Let t(u) = 20*u**2 + 28*u + 10. Determine -5*b(q) + 6*t(q).\nAnswer: 10*q**2 + 23*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, o: 4}. What is prob of picking 1 o and 3 n?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 135 = 6*z. Solve 0 = -5*g + b + z, 2*g - 10 + 4 = b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4000 - -4351. Calculate the greatest common factor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/10*6\/(-14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 7 (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -379, -3, 3, -6, -176.\nAnswer: -379, -176, -6, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 237 + 4*h + 85)*(2*h**2 + 0*h + 0*h) in the form b + l*h**3 + m*h**2 + u*h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 644, 834, 956, 1022, 1044, 1034?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 7, -3 in decreasing order.\nAnswer: 15, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -343890.6 - -3\nAnswer: -343887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*n + 58*n - 89*n as t*n + h and give t.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-3) - (-2)\/6. Let m be (u - 5)*(0 + 1). Let n(w) = -w**3 + 2*w**2 + 2*w. Calculate n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q + 173. Let h be x(-19). Solve h*z = -4, 2*s - 14 = 5*z - 0*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -26, -102, -248, -488, -846?\n\"Answer: -4*y**3 + y**2 - 5*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1214451, 1, 6 in increasing order.\nAnswer: -1214451, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (479*y - 12*y**2 - 479*y)*(-4*y**2 + 2*y**2 - y**2).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74144 divided by 37072.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 78. Let p = 36.000053 + y. Round p to 6 dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(2\/(-1 - 0)). Let b(a) = a - a + a**2 + 0*a**w. Let x(c) be the second derivative of -c**3\/6 + c. What is b(x(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 14*w + 12*w - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 11. Let s be r(-6). Suppose 5*j + 2*t + 125 = -0*j, -t = -s*j - 140. Let z = 45 + j. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + 8.16945?\nAnswer: 88.16945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-16)\/12 - (10 - 6). Suppose -11*j + 8*j - 2*a = -70, n = -5*j - a + 112. Solve 5*o = -j + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 101, 152, 221, 314, 437, 596, 797?\n\"Answer: x**3 + 32*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181\/126 + 17\/14. Let m = -94\/3 + 31. What is the nearest to m in 1\/2, -5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -9*p - 0*p + p - 59, 31*j + 139 = 2*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 686 (base 13) to base 2\nAnswer: 10001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 + 71*m + 72. Let n(s) = 81*s**2 - 1137*s - 1152. Let c(h) = 33*d(h) + 2*n(h). Factor c(r).\nAnswer: -3*(r - 24)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:42 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(54)\/sqrt(3) - sqrt(18)) + -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/25 - (-19)\/(-45). Which is the second smallest value? (a) 0.05 (b) -3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 875.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-13)\/z))**(-24)\/(z**3)**2 assuming z is positive.\nAnswer: z**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 - 2*w - 6*w**4 - 9*w**2 + 15*w**2 - 6*w**2 to the form y*w**3 + n + s*w**4 + r*w + p*w**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 389815576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.69998 millennia in months?\nAnswer: 44399.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from pwymy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77436 by -3.\nAnswer: 25812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.446 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p + 1139. Determine k(-73).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-36) + (-26)\/45\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7272 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 11*o)*(-154 + 19*o**2 + 154) + (o**2 + 0 + 0)*(3*o - o + o) - 3*o**3 - 3*o**3 + 4*o**3 - 11 + 11 - 4*o**3.\nAnswer: -212*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.4 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3343890 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 2, -71, 25, 6.\nAnswer: -71, 2, 6, 25, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 20*n**2 + 191*n - 2004. Give l(18).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*h**2 - f**3 - 5082*f**2*h**2 - 5*f**2*h - 60*f**2 - 3 wrt h?\nAnswer: 4*f**3 - 10164*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bheemmhemeemnem. Give prob of sequence emmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -1081, -1673?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:36 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 7. Let g = 164 - 175. Give c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/40441 and 32\/30049?\nAnswer: 1215211609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/35 and 123\/47727830?\nAnswer: 334094810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2*p**6\/3 + 3*p**4 + 8*p**3\/3 + 56. Let m(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9)\/(-8 + 3\/(-1)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735870 is divided by 430?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 512906938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 9, -1\/3, -0.5, -0.07, 1\/15, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/19 - 2204788*y**2\/19 - 607678154424*y\/19 - 1215188750736.\nAnswer: -2*(y + 38)*(y + 551178)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13407 nanometers in centimeters?\nAnswer: 0.000000213407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968\/((-2675)\/150 - -18) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 2470*k**3 - 302797*k**2 - 305266*k.\nAnswer: k*(k - 118)*(k + 1)*(k + 2587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 246*c + 6. Let u be k(0). Find f such that u*f**4 + 7\/2*f**5 - 53\/2*f**3 - 4*f + 21*f**2 + 0 = 0.\nAnswer: -4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 - -2) + 2. Factor -4*g**2 + 6*g - 2 + 0 + 2 - r.\nAnswer: -2*(g - 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*d**5 - 2*d**3*p**2 + d**3 + 2*d**2*p**2 + 214*d*p**2 + 2*d wrt d?\nAnswer: -3360*d**2 - 12*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 3. Let r(c) = -c + 1. Let v(a) = a**2 + 2*a - 7. Let j be v(0). Let w be r(j). Let m be s(w). Put -4, -2, m in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (151 - 32 - -14).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/8 + v**2 - 2. Let o(d) be the second derivative of q(d). Let s(f) = -3*f - 15*f + 16*f. What is o(s(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b**2. Let i(p) = -5*p**2 + 8*p**2 + 3*p**2. Determine s(i(l)).\nAnswer: -468*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 19*j + 41 - 93.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2632098 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/2 + (-17 - -23))*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1382953, -1382979, -1383005, -1383031, -1383057?\n\"Answer: -26*b - 1382927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087192 to the power of 1\/2, to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-3)\/90*-3*28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllrlrllrrll. What is prob of picking 2 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2550 and 27000?\nAnswer: 459000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*h**4 - 21*h**2 + 398*h + 1943288 wrt h?\nAnswer: -604*h**3 - 42*h + 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 1. Let r(l) = l + 8. Let i(w) = -r(w) - 2*x(w). Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*c**5*w - 44*c**5 - 2*c**3 + 2*c*w + 49*c + 13*w - 2 wrt c.\nAnswer: -580*c**3*w - 880*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 28*s**2 + 17*s + 86. List the prime factors of j(-27).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1390? (a) -8 (b) 0.211 (c) 17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15597*x + 1886 + 1887 - 5657 + 1884 to l*x + a and give l.\nAnswer: -15597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 21*t**2 - 25*t - 59. What is the units digit of o(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j*(j\/j**18)\/j*j)))*j**(-1\/29) assuming j is positive.\nAnswer: j**(492\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 77. Let a be q(9). Let z(m) = m**3 + 0*m - a*m + 42 - 7*m - m**2 + 21*m. Calculate z(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.81371 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.633614 to 2 dps.\nAnswer: -10.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 - 3*z**2 - 7*z + 3. Let y(o) = -o**3 + o. Let t(g) = u(g) + 3*y(g). Let w be t(4). Calculate the highest common divisor of w and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56350 is divided by 575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 + 428 - (-18 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (13 - -1) + -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000221519 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 5*a + 6*a - 52 + 102 - 56 + 0*a.\nAnswer: 6*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520)\/(-25)*(-16)\/448 + (-8)\/(-7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60891700 to the nearest one hundred thousand.\nAnswer: 60900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/29*(-2470)\/1235?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3098?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 - 33 + 11)*(-2*b**2 - 4*b + 4*b) in the form p*b**2 + w + y*b and give p.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from iiiihbcixiiddx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -29. Let y = s - 10. Put 0.5, 5, y in increasing order.\nAnswer: y, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 766, 1533, 2300, 3067, 3834?\n\"Answer: 767*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 - 311?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n*n*n*n\/n**(-2\/5)*n)\/(((n\/(n*n**4))\/n)\/n**(-2\/3))*n**(1\/18)*n**(-2\/3)\/((n*(n**(2\/15)\/n)\/n)\/n*n*n) assuming n is positive.\nAnswer: n**(449\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 2553*j**4 - 810574*j**3 + 74521962*j**2 - 2174671827*j + 2100957885 = 0.\nAnswer: -2847, 1, 69, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 8*j + 464. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21208.64 to the nearest 100.\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let u(j) = -3*j**2. Let g(b) = 6*b**2. Let t be 27*(8\/(-6))\/(-4). Let l(f) = t*u(f) + 5*g(f). Determine l(a(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47*(2 + -3))\/((-84)\/6 - (-143)\/11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 62679.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/5))**(5\/13)*(c\/(c*c*c*(c**(-1\/3)*c)\/c*c))\/(((c*c**1)\/c)\/c*c*c))**34 assuming c is positive.\nAnswer: c**(-5474\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 130?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:46 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 246 + 8*c + 246.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27497595 and 46.6.\nAnswer: 27497641.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 28*w + 10*w + 3*w - 20*w + 2 to b + d*w and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32421196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z + 4. Let w be (-10)\/3*9\/(-6). Suppose -5*f - 2*s - 6 = 0, -f + 5*s + w + 10 = 0. Calculate the remainder when 6 is divided by h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1567, 3314, 5061, 6808, 8555, 10302?\n\"Answer: 1747*b - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.347544 to three dps.\nAnswer: -4.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*f + 63 = -217*f. Let o be 28\/(-3)*(24\/f - 2). Solve o*b - 6*b - 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 7*m - 4*m)*(4 + 1 - 3) - 4*m + 2*m + 4*m - 1 - m + 1 + (-2 + 2 - 1)*(2 + 2*m - 2) + 0*m - 2*m + 4*m - 3 + 3 - 2*m to n*m + t and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/6*19\/(684\/(-450744))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 + 24 - 612)*(4*l**3 - 6*l**3 - 10*l**3).\nAnswer: 3480*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + -1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427051 and 16288?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3057027 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1390\/1293111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*(66\/(-396))\/(1\/((-24)\/(-4)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 8. What is the remainder when y(3) is divided by (0 - 0\/(-2)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + s + 0*s + (14*s + 3*s + 3*s)*(-2 + 0 - 5).\nAnswer: -138*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 10*h + 9. Let k(s) = 3*s**2 + 10*s - 8. Let n(f) = 5*k(f) + 4*u(f). Let i be (-1)\/(-4) - 31\/(-4). What are the prime factors of n(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -60\/23 (b) 3 (c) 5 (d) 15.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*g + 5 - 4022 + 36735 = 0 for g.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-14850)\/768) + 4968\/(-28350) + 4\/42.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 22*m**2 - 4*m - 48. Let g be j(22). Let f = g + 135. What is the common denominator of -51\/14 and (37 + 2)*3*f\/(-10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -62.45. Let h = w - 3.45. Which is the smallest value? (a) 4 (b) -0.08 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7148 at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 5. Let o be 1 + -2 + b - -2. Suppose 2*w + o = 10. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*m + 202*m = -5. Is m\/((-10)\/(-32212)) + (-1)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1164 + 1164 + 348*y in the form c + b*y and give b.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -18363010\nAnswer: -3\/9181505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-469)\/134)\/(2\/4))\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**3 - 3*h**2 - 6*h + 5. Let w(j) = 7*j**3 + 3*j**2 + 5*j - 5. Let r(y) = -3*b(y) - 4*w(y). Let a(q) = q**3 + q**2 - 1. Give 3*a(f) + r(f).\nAnswer: -f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99293 or 1494?\nAnswer: 99293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/481 and -3\/11.\nAnswer: 5291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1279, 1279, 1281, 1285, 1291?\n\"Answer: h**2 - 3*h + 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-25))\/((-4)\/20). Let v = -43343 + 433431\/10. Let a(g) = -7*g**3 + g. Let i be a(-1). Sort i, -1\/4, v, s in decreasing order.\nAnswer: i, s, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y - y**3 + 2*y**3 + 2*y**2 - 16 - 10*y**2 - 3*y**2. Let t be h(10). Let l be 4\/t - 644\/69. Which is bigger: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44512*y**3 - 16759*y**2?\nAnswer: -267072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 133175 + 2*q - 98083 - 61687 as w*q + x and give x.\nAnswer: -26595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*j - 61 - 64 = 295 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 3 - 8\/2. Is 0.7 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79820606.1 rounded to the nearest one million?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 159, 421, 805, 1311, 1939?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + x + 14*x - 26*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16698 and 68858?\nAnswer: 574895442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/9 + 2*a**5\/5 + a**4\/2 + 2*a**3\/9 + 2. Factor d(v).\nAnswer: 2*v**2*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/6665 and -13\/9588610.\nAnswer: 412310230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -1.0038.\nAnswer: -33.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Let w = 24 + f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1\/2. Let f = 134 + -131. What is the smallest value in 1, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.757 - 0.357. Put p, -0.072, -21 in decreasing order.\nAnswer: p, -0.072, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110210010 (base 3) to base 13\nAnswer: -431a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5899\/5180 - 3\/740. What is the fourth smallest value in -4, -0.045, -0.1, u?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12610457627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/9, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2)*-18 + 3. Let i be ((-36)\/m)\/(2\/40). Let x = 38 + -26. Calculate the highest common factor of i and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-21) - (-4)\/14. Suppose k*u + 133 = 5*v, 123 - 2 = 5*v + u. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/5397 and 17\/8798652?\nAnswer: 61590564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 117*w - 565. What is the thousands digit of b(89)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (67\/(-4))\/((-3)\/(-6)). Let x = k + 33. Let d = 1073 - 1074. What is the nearest to -1\/2 in 0.3, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 16*d - 33. Give b(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1033*w**2 - 10*w - 15. Let s be q(-2). Is (-5)\/(-20)*-4*s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1 - 6\/(-3))*-1. Which is greater: o or -1\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0103 and 2.5.\nAnswer: 0.02575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 r when four letters picked without replacement from {r: 8, a: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37622 + -37608. Sort -3, y, -15, -1, 4.\nAnswer: -15, -3, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 + -264. Solve t*b + 2*b - 21 = -3*a, 0 = -2*b - 3*a + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 + (-2)\/10. Suppose p = 2*t - 28 + 8. Suppose 6*f - t = f. Solve 3*x + 24 = -f*l + 1, 33 = -2*l - 5*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147255\/14 at most -81947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 198 = 42. Suppose -2 = 2*l - 3*l - 2*t, 4*t - 16 = -5*l. Let q be s*6\/(-15)*58\/l. Calculate the highest common divisor of q and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -235. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 46. Let u(a) = 7*a**2 + 8*a + 2. Let x be u(-2). Calculate the greatest common divisor of x and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6362.017 kilometers to centimeters.\nAnswer: 636201700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) 3 (c) -0.8493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/24)\/(2*3\/18). Let q(t) = 303*t - 74. Is q(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/5 (b) 5\/2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3710.1 - 3631. Round l to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2 - 0?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 834*d**4 - 694?\nAnswer: 3336*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 divided by -1696.\nAnswer: 705\/1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31008 and 32069568?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118150988?\nAnswer: 2, 29, 1018543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/62*-3*(-6)\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34121 - 34148 = -9*v. Solve -v*m = -0*s + 4*s - 38, s = -4*m + 29 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 17*y - 19*y + 7*y**4 + 6*y**4 - y**2 to the form t*y**4 + q*y + g*y**2 + s*y**3 + v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/5 + 22444*y**3\/5 - 44896*y**2\/5 = 0?\nAnswer: -11224, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3 + 166*p**6 + p**6 + p + 117*p**6 - 385*p**2 wrt p?\nAnswer: 34080*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.33351408 - -21.633514545. Let l = w + 5.7. Round l to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -6334 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*q - 3 = 0, 31*x = 30*x + q + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, -1, -1\/10, -44\/9 in decreasing order.\nAnswer: -1\/10, -1\/4, -1, -3, -44\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1c0 (base 13) to base 7\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and -169.2.\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/30 - v**4\/6 + 83*v**3\/6 + 35*v. Find the second derivative of o(i) wrt i.\nAnswer: 12*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**10\/1680 - x**6\/90 - x**3\/3 + 2. Let f(m) be the third derivative of k(m). Find the third derivative of f(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.301 - -0.1?\nAnswer: -15.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4094 and -51\/5?\nAnswer: 20470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -420302, -420314, -420326?\n\"Answer: -12*q - 420290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3338 - -3364. What is the remainder when 1398 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725500 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 2530, 4994, 7508, 10072, 12686, 15350?\nAnswer: 18064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9754 * 0.1.\nAnswer: -0.09754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4034151 (base 6) to base 12\nAnswer: 92957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3*z - 3*z - z to the form r + i*z and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g - 1. Let v(t) = 5*t**3 - 3*t + 1. Let f(n) = -3*n**3 + 2*n - 1. Let a(h) = 7*f(h) + 3*v(h). Calculate a(p) - 5*m(p).\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.7 and -33468.14?\nAnswer: -324640.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -151048 and -151049 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -156982*b + 2511813. Determine v(16).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-9))\/((-40)\/(-4)). Let q = 0.1 - 0.2. Which is the closest to q? (a) 0.2 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -21*w + 1638. Suppose -w = -10*a + 77. Let l be 3\/(3*(-3)\/(-378)). Calculate the greatest common divisor of a and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 277, -2\/13, 1, 6.6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 11*i**2 + 119*i - 269. Calculate q(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*d + 75*d + 1800. Let w = d - 197. Solve -w = 3*k, a + 2 = k - 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75434320783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1354239.2 + -83567.\nAnswer: -1437806.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/27 + -2)\/(265\/795).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15057 and 15296?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 2\/7 (c) -9 (d) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30775 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 6487745\nAnswer: 9731617.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 11*y**5\/30 + 5*y**4\/8 + 43*y**3\/6 + 18*y**2. Is d(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 - (4 + 20) - ((-5 - 0) + 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 275960960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 896509.2*-1\nAnswer: -896509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*v + 84 - 25, 4*k + 4*v - 56 = 0. Suppose -4*b - 3*c + k = 0, -4*b - c - c = -10. What is the units digit of b + -1 - (2 + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2613)\/(-364))\/(102\/4). Let v = -1\/238 - z. Which is the nearest to -1\/2? (a) 0.4 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 9 - 21*h**2 + 17*h**2 + 5*h**2. Give u(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 4, 6, 10, 16, 24, 34?\n\"Answer: l**2 - 3*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4399 and 2862424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 0)*12\/(-15). Calculate the least common multiple of (-6)\/5*(x - 1) and (28 - 21)*1\/((-4)\/(-8)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-12)\/1) + -3. Let z = b - 4. Find the third derivative of 4*a**2 - 2*a**4 - 3*a**z + a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19367, 19374, 19381?\n\"Answer: 7*a + 19360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -6\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -17*i - 11. Suppose -5*d - b + 59 = 0, -4*b - 4 = -0. Suppose 0 = -z - z + d. Let v(p) = -8*p - 9 - 5 + 8 + 1. Determine z*f(r) - 13*v(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 111*f + 338. Let v be r(-54). Calculate the greatest common factor of v and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4146653, -4146682, -4146711, -4146740, -4146769?\n\"Answer: -29*r - 4146624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbllbbbbbblbb. What is prob of picking 1 b and 1 l?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/18)\/((-15)\/54). Let z(s) = 4 + x - 2 - 3*s. What is the tens digit of z(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*n - 19. Let z = 13 + -15. Which is the closest to z? (a) -5 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - 142188\/(-48). Let g = 7073 - x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16503\/56 - -2161\/8. Which is smaller: o or -24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:21 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 97*v = 92*v - 6, 2*j - 33*v - 68 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 - 3*t**5 + 5*t**5 + (-2*t**2 + 2*t**2 + t**2)*(-21*t**3 + 18*t**3 - 24*t**3).\nAnswer: -25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98, -650, -2142, -5042, -9818, -16938, -26870, -40082?\n\"Answer: -78*l**3 - 2*l**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 2?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -17 - 24. Let n = 0 - l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)*r)\/r**(-2\/41) assuming r is positive.\nAnswer: r**(299\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628 - 20 = 8*c. Calculate the highest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 17\/132, -0.4, 7\/8.\nAnswer: -0.4, 17\/132, 7\/8, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 31*y**5\/60 + y**4\/24 - 5*y**2. What is the tens digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 15. What is the smallest common multiple of h and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7 - 8 + 5*b - 1. Suppose 2*k + 2*k = 0. Let q be t(k). Let j(x) = 2*x + 2. Let s(l) = -1. Give q*s(o) - j(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 3. Let k be q(-3). Suppose k = -2*c + c + 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 848593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*c**4*t - 1976*c**3*t**3 + 6*c**3 + 1604*c**2*t**2 + 13*c**2*t - 252*t**3 wrt c.\nAnswer: -3936*c*t - 11856*t**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1683.666254 to one decimal place.\nAnswer: 1683.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/18 - (8590\/6)\/(-5). Let o = m - 293. What is the nearest to 1 in 8, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by ((-2)\/(-2))\/((-40)\/(-150))*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770793001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 + 179. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (696\/(-522))\/(98\/3)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 33578599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 46 = -7*c. Let h be (1113\/212)\/(c\/16). Calculate the highest common divisor of 156 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 438*q**2 - 255792*q - 49794176.\nAnswer: -(q + 584)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9467694831 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 + 2*d - 1. Let i be c(-3). Let k(o) = 0 - 10*o**2 + 0 - i*o + 3 - o**3. Let r be k(-9). What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752926 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -33532532033?\nAnswer: -33532532042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 574c16?\nAnswer: 574c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1384212420277 + -5\nAnswer: 1384212420272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 97*a + 36. Give h(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -152 + 12?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -12. Which is bigger: 1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w = 42*w + 4*m + 7, -w - 14 = 5*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 103*t + 9. Let h be n(-1). Do -189\/2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 24. Calculate the smallest common multiple of v and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-21))\/(2 + 0)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -166083, -332129, -498187, -664263, -830363, -996493?\n\"Answer: -y**3 - 166039*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {x: 1, i: 4, c: 1, g: 4, e: 1, f: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 at most as big as 420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*w - 5, -45 = -4*q - 16*w + 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let w(a) = -830 + 830 + 9*a. Determine w(l(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2605 (base 9) to base 3.\nAnswer: -2200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/128464 and 47\/632.\nAnswer: 10148656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 70 = -3*f, -5*x = 194*f - 193*f - 50. What is the remainder when 440 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-56)*(-5504)\/(-4644)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*p - 9*p + 128, -3*p + 131 = 4*r. Solve -o = -4*y + 2*o - r, 0 = 3*y + 2*o + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*k - 744, -z + 2*k - 732 = 3*z. Let b(l) = l**2 - l. What is the remainder when (-2)\/(-3) + z\/(-12) is divided by b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 44) + -4 + 6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 10, v: 1}. What is prob of sequence zs?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3 = -y + 3*o, -11 = -y + 2*o. What is the greatest common factor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 12 = 0. Solve -1 + 13 = g*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/4 - (3 + 0). Let n = d + 1. What is the units digit of (-408)\/(-56) + n\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21851 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12451 is divided by 562.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, l: 4, v: 2, w: 5}. Give prob of sequence lv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 divided by 3?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 22 - 23)*(n**3 - 6*n**3 + 0*n**3).\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.04, -1, 10, 4\/7, 1 in decreasing order.\nAnswer: 10, 1, 4\/7, 2\/7, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*u + 1\/3*u**3 + 5\/3*u**2 = 0. What is u?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.96 + 0.04. Let l = -97 + 98. Let o = 2 - l. Which is the closest to n? (a) -1 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d3 + -6?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 289958089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:59 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -945 + 1457. Let o = 512.00000712 - f. Round o to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 10, -2*l + 18 - 28 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.501 + -0.48. Let r = w + 0.181. Let k = -0.2147 + r. What is k rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6384 and 74032.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 27 + -2 - 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*s - 5*s**2 + 2*s**3 - 73*s - 2 + 2*s**4 in the form u*s**4 + g*s + a + r*s**2 + c*s**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 + 4628708*a**2 = 0.\nAnswer: 0, 1157177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5850317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -0.0993.\nAnswer: -0.012909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*((h*h**(1\/13))\/h)\/h)**37\/(h*h**(-2\/15)*(h*h**(-1\/3))\/h*(h\/((h\/(h\/(h*((h**0*h)\/h*h)\/h*h)))\/h))**40) assuming h is positive.\nAnswer: h**(-13979\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -4644.1321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 99 = 0. Let z be -2*(o\/(-6) + 3). Solve -2*k + 5*n = -15, z*k + 20 = 2*k - n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079456564 rounded to 6 decimal places?\nAnswer: -0.007946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -839, 1.66?\nAnswer: -839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15316593\/2 at most -7658298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -961831?\nAnswer: 4809155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 714903 to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 721 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:43 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 297*j + 1 - 410*j + 4 in the form y*j + v and give y.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/1536*8444 - (-111)\/592*(-3)\/(-18).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 212120022 (base 3) to base 10\nAnswer: 17180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 508757 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:23 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -639 + 702. What is the remainder when 96 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14148, -14097, -14018, -13905, -13752, -13553, -13302?\n\"Answer: y**3 + 8*y**2 + 20*y - 14177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -3 (c) 5 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 3*w - 1. Determine z(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.16 + 10.2. Let u = 1.94 - j. What is the nearest to 1 in -2\/7, -15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 6.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 5*i + 4. Let z be v(-5). Let u = 822 + -820. Solve u = z*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 and -161\/2046.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6338 - 2164. Is 66 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-6))\/(5\/30). Let q = 63 - l. What is the remainder when 59 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 6. Suppose 0 = -3*s, -m - 2*s = 2*s - 9. Calculate the remainder when t(5) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7*c - 16 = -3*c, 4*r + 8 = -2*c. Let g be 1 - 10*11\/2. Let i = r - g. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1193 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(136) - (sqrt(136) - (1*-1*sqrt(136) + sqrt(136))))\/(sqrt(32)\/sqrt(4)*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*c**2*r*t + 2*b*c**2 + 21*b*c*t - 2*c**2*r*t - 5*c**2*t + 20*c*t wrt b.\nAnswer: -4*c**2*r*t + 2*c**2 + 21*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0)*(6*t - 3*t - t) - 3*t + t + 0*t - 2 as c + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -35. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*1)\/sqrt(8)*6)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m**4 - 2*m)*(0*m + 0*m + m)*(2 + 2 - 13)*(2 - 3 + 0).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 548640 + 177613 = 350659. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 699*p**2 + p. Let t be s(-1). Let m = t + -462. Suppose -2*k - 2*k + m = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 24\/(-9))\/((-2)\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 + -5.26. Let g be ((-2)\/(-5))\/((-6)\/(-5)). Put g, 0, x in increasing order.\nAnswer: x, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*n - 5 = 0, 0 = -5*b + 3*n + n - 21. What is the common denominator of b + 435\/18 - 4\/12 and -47\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*r - 32*r - 132*r in the form k*r + l and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 0.3. Let u = 16684 + -16690. Which is the second smallest value? (a) q (b) u (c) -0.4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s - 3 = 4*d, 2*d + 6 = 4*s. Let h be s*(-2)\/6*0. Suppose h*k = -6*k + 546. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -74 (c) 4\/3 (d) -2 (e) 304 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -122.5. Let f = 6.63 - -0.47. Let z = 7 - f. Which is the third smallest value? (a) z (b) h (c) 6\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.33545 * -1\nAnswer: 45.33545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3bf2de (base 16) to base 13\nAnswer: -a77343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (278*f - 478*f + 257*f)*(f - 5*f + 2*f) + (0*f + f - 3*f)*(f + 3*f - 5*f) in the form r + u*f + h*f**2 and give h.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 339851, 339779, 339659, 339491, 339275, 339011?\n\"Answer: -24*m**2 + 339875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -17.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5 + 4, -3*r = z + 5. Let v(n) = n - z - 2*n - 2*n. Let d(g) = 13*g - 4*g - 3 - 11*g. Give 7*d(p) - 5*v(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z - 87. Determine v(-11).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k - 2. Let j be h(4). Let c = 8 + -3. Let p(b) = -3*b**2 - b - 1. Let a be p(-1). Sort j, c, a in decreasing order.\nAnswer: c, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(322\/126 + -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6069*b**3 - 12541*b**3 - 719*b**3 - 28711*b**3 - 23223*b**3.\nAnswer: -71263*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m + 118. Let z be u(23). Suppose -28*v**z - v**4 - 56*v - 4*v**4 + 72*v - 7*v**4 = 0. Calculate v.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6*w + 19 = -5*q, 5*w + 2*q = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105*a - 31*a - 22*a - 52*a)*(-2*a**3 + a**3 + 6*a**3) as y*a**3 + h*a**4 + l*a**2 + m*a + f and give h.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 343, 1858, 5981, 14020, 27283, 47078, 74713, 111496?\n\"Answer: 218*c**3 - 4*c**2 + c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3501, 0.3, 0.1, -0.01, -8.6 in increasing order.\nAnswer: -8.6, -0.01, 0.1, 0.3, 3501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 - 90. Suppose 4*w + r - 48 = 0. What are the prime factors of (1593\/15 - 1\/5) + w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m = q + 44*m - 18, 24 = q - 4*m. What is the remainder when 108 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 3527?\nAnswer: -3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 29 - 29 + 1805*h)*(-4*h**4 + h**4 + 2*h**4).\nAnswer: -1805*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 26*d + 2323. Let v be j(-63). Sort -2, -5, 17, v, -4 in decreasing order.\nAnswer: 17, -2, -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 33 = 9*c. Solve -4*k - c = -6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49112575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 5, 1, -6, 33 in increasing order.\nAnswer: -6, -1, 1, 5, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**6\/150 + k**4\/60 - 3*k. Solve i(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 8)*((-a - a + 4*a)*(2 - 3 + 2) + 7*a - 6 + 6).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3525000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 18*r - 1. Let m(j) = 3*j**2 - 19*j - 1. Determine 3*g(q) - 2*m(q).\nAnswer: -15*q**2 - 16*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*h - 4*t = 232*h + 6, 8*h + 39 = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16562.26 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 47*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2340003 (base 5) to base 10\nAnswer: 43128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3461 + 6755 = 27*p. Is 971\/8 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(21\/8)\/(n*n\/(n*n*n\/(n*n**5*n*n*n))*(n*n**3*n)\/n) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - u + 3*u)*(u - 3*u + u + (-7*u + 56 - 56)*(-5 + 1 + 2)) as n + j*u + t*u**2 and give t.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let g(l) = -53*l + 4. Give z(g(a)).\nAnswer: 5618*a**2 - 848*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2959590 and -2959566 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11670582*y**6 - 1267*y**2 + 6*y + 61.\nAnswer: 1400469840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21989645.\nAnswer: 5, 277, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 43*q**2 + 1. Let x(r) = -r**2 - 7*r - 2. Let t(h) = h**2 + 6*h + 2. Let l(u) = -5*t(u) - 4*x(u). Let c be l(-1). What are the prime factors of y(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3316454*c**2 - 615088*c?\nAnswer: -6632908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383*r + 2821*r + 1675*r - 1209*r + 2371*r.\nAnswer: 7041*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/3)\/((-10)\/(-15)). Suppose 0 = -2*k + 10, -4*l + 5*k - o = 49. Let w(q) = -q**2 + 20*q - 102. Let v be w(9). Sort l, v, 2.\nAnswer: l, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((470\/4)\/((-70)\/(-42)))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228.8 - 229. Suppose -p + 3 = 9. Let k be 4\/p + (-84)\/(-153). What is the nearest to -0.1 in 2\/7, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**3 + 4*d**2 - 3*d + 1. Let a be t(2). Suppose 0*j - j + a = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*b*g + 13740*b - 245754*g wrt b?\nAnswer: -14*g + 13740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 - 32848*g**2 + 134841034*g + 269813476 = 0. Calculate g.\nAnswer: -2, 8213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1342*y**2 - 37*y - 8198*y**2 - 416*y**2 + 37*y in the form z + f*y**2 + x*y and give f.\nAnswer: -7272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 22*n - 169 = 0. Solve n*q - 4*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 8 = 20*s. Let j(o) be the third derivative of 0 + 0*o**3 + 19*o**2 + 1\/8*o**4 - 1\/60*o**5 + 0*o. Calculate j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 4, v: 1, e: 8, j: 3}. Give prob of picking 2 e.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**18*m)\/m)\/(m*m*m**(1\/2)*m*m) assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -11. Let n = -0.03 - -0.03. Sort -3\/2, y, n in increasing order.\nAnswer: y, -3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 35. What is the greatest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10 + (-2)\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.046 + 0.502. Let u = 3.4 - 3. Let q = u - t. Round q to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 40*f - 169. Let n be y(-7). Which is the fourth smallest value? (a) n (b) 7 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/44 and -33\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:34 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2665048 rounded to three decimal places?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 373, 34.688, 4\/9, 0.2 in ascending order.\nAnswer: -5, 0.2, 4\/9, 3, 34.688, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 25*o**2 + 18*o + 13. Let b be w(-12). Let x = -55 - b. Let h be (-5)\/10 - (-22)\/x. Solve h*r = 3*r + 4*c - 10, 5*c - 10 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46728 by 46728.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.75 + 0.25. Let q = 9.9999994 - r. Round q to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275090599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2302887 and 2302857 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12 = -0*m. Solve -10 = 3*s + 5*l, 4*s - m*s = 5*l - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*(-15)\/(-360)*-6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15627?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 12*l - 17, l - u + 3*u - 6 = 5*u + 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*h + h + 22, -2*h + 17 = -a. Let g be 1*1780004 - (-28)\/a. What is g rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/50? (a) -1 (b) -0.4 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 26. Let m(h) = h - 1. Let f(u) = -u + 2. Let s(w) = -2*f(w) - 3*m(w). Let a(d) = -l(d) + 6*s(d). What is the units digit of a(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*v + 43540 + 10536, 0 = v - 5*k - 13543. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(3*h - h - 5*h)*(9 + 10 + 1 + 48) to l + a*h and give a.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110002 (base 3) to base 15.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 33 - (-81 - -32 - -58).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 20*c - 88, 17*n + 3*c = 13*n - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*q - 96 = 67*q - 117*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -96.\nAnswer: 19\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10) + 11 - -2 - (3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*y**2 - 123*y?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9240 and 200.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-34) + 16\/136.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 429 = -4*r - 152, -347 = -5*r - 3*h. Suppose -3*z = -4*l - 363, -5*l - 5*z - 410 = r. Let s = -46 - l. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 830647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2783, 5561, 8339, 11117, 13895?\n\"Answer: 2778*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 + 10*r - r**2 + r**2.\nAnswer: -14*r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2767 + -2768. Which is the nearest to p? (a) -0.5 (b) 1\/4 (c) -2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 2*m + 2*y, 8827*y - 8823*y = -3*m + 79 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:12 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20474670.6 rounded to the nearest 10000?\nAnswer: 20470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = -333*i - 14630 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 - 3*x - 2. Determine v(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5536081*m. Let y(g) = g**2. Calculate t(y(r)).\nAnswer: -5536081*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752441.\nAnswer: 3, 29, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -4765287\nAnswer: -130\/4765287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -3. Suppose 2*g + 4*p - 26 = 0, -10 = -21*p + 19*p. Solve 0*b = -g*j - b + f, b - 3 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - 63*w**3 - 1075*w - 1076*w + 2153*w - 7*w**2.\nAnswer: -63*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 1 + 1)*(0*f**3 - 4*f**3 + 2*f**3) + (20*f - 2*f**5 - 20*f)*(4 - 2 + 6).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2899477*o**4 + 28*o + 97248226.\nAnswer: 11597908*o**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2374, -9535, -21476, -38197, -59698, -85979?\n\"Answer: -2390*l**2 + 9*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1112?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.6, -4, -0.5, -1618, -14\/5 in decreasing order.\nAnswer: 26.6, -0.5, -14\/5, -4, -1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 47*y - y**4 - 3*y**2 - 3 - 50*y - 4 in the form g + i*y + a*y**2 + c*y**4 + l*y**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -3*g - 2*h, -g = -h. Suppose -g*j + j - 8 = 0. Let v = j - -6. Which is the second smallest value? (a) 0.5 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.012, 1\/26, -13102?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -3. Let s = 6 - j. Let z(n) = n**3 - 2*n**2 - n - 1. Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -43*u + 11 + 3*u**2 - 5*u**2 + 0*u**2 + 48*u. Let s be o(4). Let n = -16 - -11. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/33 (b) -4.8 (c) -3\/8 (d) -2\/111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1390?\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48, 76, 124, 192, 280, 388, 516?\n\"Answer: 10*z**2 - 2*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-72) + 8\/(-64) + (-100)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 - v**4\/12 - v**3\/6 - 2*v**2. Let k be y(3). Suppose -2 = -k*d, 4*x + d + d - 26 = 0. Solve 2*z - 4 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121505 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**3\/6 + 3*w**2\/2 - 11*w. Let y be z(-1). Solve y = -0*l - 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.995479 litres to millilitres.\nAnswer: 4995.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 4*z + 9, -4*z - 13 = -5*g. Let h be g\/2*(-24)\/(-36). Which is the third biggest value? (a) 4 (b) h (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.46 + -47.54. Let y = -48.000000014 - f. What is y rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -23, -39, -35, -5?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 49. Determine c(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -71, -62, -39, 4, 73, 174, 313?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22449 divided by -7483.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 3*r**3 + 2*r**2 + 4 - 4 in the form g + p*r + w*r**2 + i*r**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5162409 is divided by 245828?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 37 - 23 + 4*g + 0*g - 6*g. What is t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96593.\nAnswer: 7, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g - 5*g**2 + 35*g + 25*g**2.\nAnswer: 20*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034 - 2?\nAnswer: -1.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71300232 to the nearest integer?\nAnswer: 8444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 44 = -4*a, 5*a + 5*v - 73 = 3*v. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Suppose -x = 3*x - 8. Let k(l) = -7*l**x + 5*l**2 + 4*l**2. Calculate k(q(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 37. What is the least common multiple of y and (-3)\/(9\/6) - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 6. Let d = -93 - l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(288) - (-2 + sqrt(288) + sqrt(288)*-1)) + -1 - (sqrt(288) + -3 + 1 + sqrt(288) + -1))*2*-4)**2.\nAnswer: -6144*sqrt(2) + 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11940997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 + 5*d**2 + 4*d**2. Let b(o) be the first derivative of -2*o**3\/3 + 17*o + 45491. What is b(q(f))?\nAnswer: -32*f**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(720) + 0 + -5))**2 + (sqrt(560)*4)\/(sqrt(63)*1).\nAnswer: -5744*sqrt(5)\/3 + 11920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 126 = -3*u + 2*n - 102, 0 = -u - 2*n - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/10 - 659084*u\/5 + 217195859528\/5 = 0?\nAnswer: 659084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -225.358 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 23*m = -5*z - 14, 3*z = -3*m + 78. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421577452 to the nearest integer?\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmvrmrrrrrv. Give prob of picking 1 v, 2 m, and 1 r.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h + 5. Let c be y(7). Suppose 6*p - c = 3*p. Suppose p*q + 0*q = 0. Solve q = 5*i + 4*a - a - 10, 2*i + 3*a = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -41, -78, -139, -230?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2136808 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*f = 18, 4*f = -3*d - 2*d + 30. Suppose -d*g = 10 - 28. What is the tens digit of ((-2)\/6)\/(g + 516\/(-171))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-4) - -1)\/(-25). Let l = 107\/175 + a. Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:27 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 1 - 2*h + 16 as x + m*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 2*g - 1. Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = -4*i + 20, 5*i + 3 = 2*u. Suppose -7 + 19 = u*s. Suppose 0 = 5*w - 4*r - s, -5*w + 24 = -r + 4*r. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((1 - 11) + 3 - (-71 - -73) - 67)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498965809.\nAnswer: 11, 136269619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4193 - -6502. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*k - 3, 0*o + 5*o = 15. Suppose 0 = 2*g + k*g - 20. Suppose -41 - 44 = -g*h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*s = -31*s - 2390 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1276. Let w(r) = -r + 15. Determine -o(s) - 2*w(s).\nAnswer: 2*s - 1306","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -2.09 times -0.5\nAnswer: 1.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/9 - 7\/((-35)\/20). Let y(m) be the second derivative of -1\/9*m**3 + 1\/45*m**h + 0 + 2\/3*m**2 - 1\/6*m**4 + 1\/30*m**5 - 12*m. Factor y(l).\nAnswer: 2*(l - 1)**2*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + 0*s)*(-2*s**2 - 2 + 2)*(s - 2*s + 0*s)*(-688 - 368 + 143) + (4 - 4 - 2*s**2)*(0*s**2 + 4*s**2 - 2*s**2).\nAnswer: 3648*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 84426*g + 84426. Give n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((405\/36)\/45)\/(((-175)\/1092)\/25)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let s(n) = -3*n**2. Let i be s(b). Let u be 2\/(-2) - i*1. Solve u*y + 14 = -4*l, -2*l + 0*l = -y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -22. Suppose 2476 = -8*q + w*q. Let p = q - 6. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 1, -66, 3 in decreasing order.\nAnswer: 3, 1, -33, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 1322 - 1314, 47 = -l - 5*p for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4*(-1)\/8). Let h(p) = -p**2 + 2*p + 4. Let o be h(0). Sort 0, o, y, 1 in decreasing order.\nAnswer: o, y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 6 = 9*j - 2*f, f - 7 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189470601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1542.4768 to the nearest 10.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 2614. Let d = o + -786. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(972)*2 + sqrt(972))\/(sqrt(54)*-4 - sqrt(6)) - (sqrt(30)\/sqrt(3)*6)\/(sqrt(5) - 6*sqrt(80))))**2.\nAnswer: 2358792\/89401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 6 = -b, 0 = -0*h - 3*h - b + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f + 6. Let p = 79 - 33. Let o = p + -12. What is the remainder when o is divided by k(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 37, 42, 47, 52?\n\"Answer: 5*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 2*v - 1196 = 0, -4*v = 5*l - 1469. What is the greatest common divisor of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmmm when four letters picked without replacement from {m: 6, p: 1, w: 7}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3849501 or 3849499?\nAnswer: 3849501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 - 4. Let a be y(5). Let d(l) = l**2. Let s(j) = -9*j**2 - 5. Let i(v) = a*d(v) - s(v). Differentiate i(n) with respect to n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 95. Let g(v) = m*v - 41*v + 21*v. Let n(p) = 2*p**2. Give n(g(i)).\nAnswer: 15842*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 608*y\/7.\nAnswer: 2*y*(y + 304)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.4851699?\nAnswer: -0.43665291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -4 (c) 76 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/27400 and -87\/24160.\nAnswer: 16549600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -7.4. Let a = q - 13. Let f = a + 5.9928. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99716 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52470 - -3?\nAnswer: 52473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223821.\nAnswer: 3, 13, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l - l)*(16*l - 20*l - 8870*l**2 + 4*l).\nAnswer: 26610*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u + 257420242 - 257420242.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/5)\/(9\/6*-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043726663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -4\/3 (b) -3\/7 (c) 0.4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371611237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 4*u - 261, 0 = -4*u + 4*s + 240. Suppose 6*z + 39 = u. Calculate the highest common factor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06823195 rounded to five dps?\nAnswer: -0.06823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.55 and 859.6.\nAnswer: 3911.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, -55, 21.\nAnswer: -55, -11, -7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506 - 502. Let r(q) = q**3 + 7*q**2 + 6*q - 7. Let m be r(-5). Let d = m - 9. Calculate the greatest common divisor of d and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533082846.\nAnswer: 2, 3, 1489, 59669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 38. Let x(v) = -6*v - r*v + 11*v + 1 + 6. What is x(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2310*l**3 - 1147*l**3 - 1159*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71206 + 3?\nAnswer: -71203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5056 - -50469\/10. Find the common denominator of p and 25\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1771)\/392) - (6 - 1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2386*b**2. Let u(x) = -15*x**2 - 11*x + 55. Let p(n) = 4*n**2 + 3*n - 15. Let c(j) = -22*p(j) - 6*u(j). Determine c(f(d)).\nAnswer: 11385992*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 - 8*j**4 - 6*j**4 - 2*j**4 + 5 - 5 + (2 + 0 + 0)*(-j**4 + 0*j**4 + 3*j**4) + 4*j**3 - 4*j**3 + 3*j**4.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22 + 70\/3 - 2\/(-3). Factor -4\/11*v**s + 6\/11*v - 2\/11*v**5 - 4\/11*v**3 + 6\/11*v**4 - 2\/11.\nAnswer: -2*(v - 1)**4*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157701000 rounded to the nearest 1000000?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - i**3 + 0*i**3 - i**3 + 2*i**3 - 3*i**3 + (5*i - 5*i + 2*i)*(-i**2 + 3*i**2 + 0*i**2) - 2*i**3 + 3*i**3 + 0*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 94*j**2 - 14008*j + 739. Give k(149).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 13*c**2 - 66*c + 60. What is the remainder when 1870 is divided by a(-17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*o + 5 = 2*s, 0 = -2*o - 2. Suppose -i + 5*i - 104 = s. Let h = i + -18. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5689 - 0.1689. Which is smaller: -41.8 or o?\nAnswer: -41.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17563 - 18226 = 13*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n**2 - 5*n + 5. Let r(d) = 9*d**2 + 2*d - 2. Calculate -2*k(z) - 5*r(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 26. Suppose 0 = -c + 74 + u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k**3 + 89*k**2 + 184*k - 60 = 0.\nAnswer: -10, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -6545?\nAnswer: -6552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -950.961 * -2.74.\nAnswer: 2605.63314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1010560630?\nAnswer: 1010560631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - v**2\/2 + 4*v. Let t(y) = -7*y + 2. Let g(l) = 6*m(l) - t(l). Let p be g(8). Is p < -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*h**3*u**2 - 2*h**3 - 13*h**2*u**3 - h*u**3 - 89*h*u**2 - 2*h*u wrt h?\nAnswer: 132*h*u**2 - 12*h - 26*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/46*-23*(1 + -1) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(131 + 193 - 467 - 2*n).\nAnswer: 6*n + 429","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*q + 36435 - 38945 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15774 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100000101110001011110 (base 2) to base 16\nAnswer: -105c5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 87 = 16*q. Suppose -q + 93 = 2*r. What is the greatest common factor of r and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223583611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (240*d**2 - 14 + 16 - d - 17*d**2)*(3*d + 3*d - d).\nAnswer: 1115*d**3 - 5*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 78*p - 77*p + 15, -p + 15 = 3*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:41 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9 + 7)*(0*q - 3*q + 2*q)*(3*q**3 + 0*q - q**3 - q).\nAnswer: -6*q**4 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 349*h - 1022. Suppose v - 5 = 10. Calculate the lowest common multiple of r(3) and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -0.2 (c) -0.4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 581137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 27*z**2 - 5*z - 8. Let x = 516 - 521. What is the tens digit of u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 95\/((-27)\/(-15) + -2). Let t be 4\/10 - (-115)\/g. Let d = t - -13\/38. Which is the closest to 1\/4? (a) 0.2 (b) d (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530720 + 530945 = -9*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -73 + (5 - -21) + -31\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828 divided by -4063?\nAnswer: -3828\/4063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 26 (c) 2\/7 (d) 481271\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**2\/9 - 19555262*u\/9 + 19555252\/9 = 0.\nAnswer: 1, 9777626\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 7068 + 912 = 0. What is t rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -0.3783?\nAnswer: 36.3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 6, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (205\/(-20) - -9)\/((-1)\/6281548). Let s be 2\/(-8) - (x\/(-52))\/(-5). Round s to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7609 smaller than -7609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z\/((z**8\/z)\/z))\/z)*z*z*(z\/((z*z**(-1\/5))\/z))\/z*z**21*z**23\/z assuming z is positive.\nAnswer: z**(256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17754186\/7 at least 2536313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.29 + -0.15. Let y = s - 0.24. Which is the smallest value? (a) 5 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.014 and 3080.688?\nAnswer: -43.129632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 27*t**3 + t**2 - 2*t + 1. Let n be z(1). Let v be n\/9*(-2)\/3. Let j = -3.5 + 3. Sort j, -1\/4, v.\nAnswer: v, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 0 + -56)\/(5 - 6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 47630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -20854 != -20854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348622*q**2 - 348634*q**2 - 348628*q**2 + 1045884*q**2 - 11*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 - v + 0*v - v as o*v + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 105 - s + 3 + 42. What is the remainder when u(-7) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 6, -4\/7, 5\/4, 0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 - 1017 - 3*v - v**2 - 1601 + 4*v.\nAnswer: -v**2 + v - 2371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -69*h**2 + 25*h + 2. Let i be x(2). Is 7\/21 + (i\/(-12))\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38859 - 0.395. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11021220011 (base 3) to base 10\nAnswer: 84487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 87*c - 288. Is r(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4779?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 p when four letters picked without replacement from {q: 17, p: 2}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -89, 5, 0.\nAnswer: -89, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65449659.\nAnswer: 3, 11, 1983323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 0. Let n be y*(0 - (-4)\/(-8)). Is -7 + 5 - 969\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let g(v) = 850314*v. Calculate g(z(d)).\nAnswer: 850314*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10815 = 10795. What is the second biggest value in -49.4, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:49 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 476869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 291119 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: Simplify (x**(-20)*x)**14\/(x\/(x\/(x**6\/x))*x\/(x*x**(-3\/29))) assuming x is positive.\nAnswer: x**(-7862\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 21175 + 24033. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1256322 or -1256191?\nAnswer: -1256322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u + 5. Let s(c) = -c**2 - 4*c - 6. What is 4*s(b) + 5*x(b)?\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/30)\/(-11) - 22\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - i**2 - i - 1. Let g be p(-1). What is the first derivative of -6 + 5 + g*c**4 + 2 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 51110413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110999*n**3 - 259457*n**2?\nAnswer: -665994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56848)\/3192 - 4\/21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4483, 17651, 39659, 70555, 110387, 159203, 217051, 283979?\n\"Answer: 8*i**3 + 4372*i**2 - 4*i + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 5*m + 21657. Give z(-103).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*((sqrt(405) + -1)**2 + 4 + (sqrt(405) - (sqrt(405) + (sqrt(405) + 1)**2)) + -4).\nAnswer: -3 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3561 + 18*m + 26*m + 19*m - 19*m.\nAnswer: 44*m - 3561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55602433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*3\/6*-13. Let p = -26 - o. What is the tens digit of 3 - (-46)\/(p + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*x = -4*x - 313*x + 4410 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i. Let w(j) = 2*j**2 - 5*j + 5. Let h(p) = p - 1. Let g(n) = -5*h(n) - w(n). Calculate g(c(k)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**2 - 47*x + 2. Let n(v) = -21*v**2 - 94*v + 5. Let w(m) = -5*k(m) + 2*n(m). Find the second derivative of w(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(48) - sqrt(3))*-6 + sqrt(3)).\nAnswer: -sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 5. Let d be x(-1). Let t(j) = 3*j + 17. Let i be t(-5). Suppose 9*h - 12*h = -i*b + 11, 4*h + 4 = 0. Put b, 5, d in decreasing order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/46404 and 133\/3851532.\nAnswer: 3851532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 7*m - 7. Suppose 0 = l + 696 - 724. Suppose -l*o + 27*o = -6. Calculate x(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from jiijujjjtavviii.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-12\/11)*w)**44 assuming w is positive.\nAnswer: w**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*p + 4\/5*p**3 + 0*p**2 + 2\/5*p**4 - 2\/5.\nAnswer: 2*(p - 1)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -91 + (-78 - -156)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -316*-2387\nAnswer: 754292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*f - 36, -3*d + 7 + 29 = -2*f. Solve -c - 1 - d = -3*i, 0 = -4*i - 2*c + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p - 92 = -52*p + 336. Solve -4*l + s = -37, 0 = l + p*s + 2 + 10 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 6) to base 4\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71314946.\nAnswer: 2, 35657473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 3. Suppose 4*i - 142 - p = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1123*d + 827 + 1113*d - 827. Let a(s) = 242*s. Calculate w(a(b)).\nAnswer: -2420*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61952 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -833.373 + 797.39. Let j = 0.017 - l. Let v = -36.1 + j. What is the biggest value in 5, v, 4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {t: 2, r: 1, s: 14}.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2877575?\nAnswer: 5, 31, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72\/5 - -1214\/85. Which is the third biggest value? (a) 22 (b) -3 (c) k (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85348 and 760.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0108369465 rounded to 5 decimal places?\nAnswer: 0.01084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7611 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 136950+-0.1\nAnswer: 136949.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 114057 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: Solve -76 = -11*r + u, 0 = 34*r - 36*r + 4*u + 10 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -891372199 take away 0.04176?\nAnswer: -891372199.04176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1191985659 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00189 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-10))\/3*(-10)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163524703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 124. Suppose -c*k - 4*i + 20 = 0, 5*k + 2*i - 12 = 22. Calculate the remainder when (-1*10\/15)\/(k\/(-387)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -806*q - 3540. What are the prime factors of c(-12)?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 147\/9 + (-1)\/3. Let y = 23 - l. Solve 3*r - y*r = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2091 + 1395. Let d be (-6)\/14 + r\/(-56). Suppose -10*b + 8*b = -d. Solve f = -f - b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 8 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 4. Let v be g(-3). Suppose -4*p = -v - 18. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19197713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + (-26 - -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111101001100101011 (base 2) in base 7?\nAnswer: -4234035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4. Let v(k) = 3. Let l(m) = 5*b(m) + 7*v(m). Let j(c) = -c. Calculate j(s) + l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -230 divided by 46\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 3*j**5\/5 + 9*j**4\/4 - 3*j**3 - 33*j**2\/2 - 18*j + 478. Factor w(o).\nAnswer: 3*(o - 2)*(o + 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5*v**3 - 4304*v + 34 + 4304*v - 24.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221001101020120 + -110?\nAnswer: 221001101020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -25*v - 44. Is 16 a factor of g(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660157 (base 9) to base 13\nAnswer: 10a31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*c + 53*c - 50 + 78*c + (-5*c + c + 2*c)*(1 - 1 + 2) to a*c + v and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*j = -163*j + 30. What is the highest common factor of 33 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.032.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 o when four letters picked without replacement from popduopojjouoou.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99856 is divided by 33145.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 31*q. Let a = 15 + 0. Let y = 31 - a. What is the remainder when t(1) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 p when three letters picked without replacement from {m: 1, v: 4, r: 4, c: 3, k: 7, p: 1}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 120 + 9?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 3 + 2*h**2 + 2*h - 3*h - h. Let f(s) = 2*s - 1. Let u(q) = -q**3 - 2*q**2 + q + 3. Let v be u(-3). What is v*f(g) - 4*k(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose 0 = 3*l - 2*l - 2*o - 6, 0 = -4*l + 3*o + 14. Suppose -l*u = 3*u - 5. Which is the nearest to u? (a) q (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 2*a - 2. Let k = 6 - 11. Let n(y) = 3*y**3 - 5*y**2 - 5*y + 5. Determine k*c(m) - 2*n(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - o**4 - 2*o**4)*(-2*o + 0*o - 2*o) + 9*o**5 - 5*o**5 + 7*o**5.\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m + 7 = 0, -n - 5*m = -4 + 5. Is n bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 - (-7 + 4 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2733 is divided by 550?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-5)\/(-7) - 632\/(-56). Suppose -m*r + 0*r = -4895. List the prime factors of r.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(11\/627)\/((42\/(-7))\/(-18)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 796 and 839923877?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 divided by -64369?\nAnswer: -695\/64369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 334 = 176*k + 2188 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61067 is divided by 157.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (9 - 0)) + (15 + -44 - -30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 66. Give n(19).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/24 - x**2. Let j(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1\/6*l**4. Calculate j(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + (-206)\/6. Let q = 193 + -199. List the prime factors of ((-9)\/q)\/((-1)\/t).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = x, 0*x - 2 = x + 2*m. Suppose 4*h + 5025 = -5*o, -4*h + 1900 = -2*o - 110. Is o\/(-10)*x\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 99. Let f be (-10)\/(-2)*970\/50. Let u = l + f. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = 59*d + 132. Solve -3 = w, -5*w + 4*w = -4*j + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 45*t - 190. What is d(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43 (b) 1\/5 (c) -2\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 237 = -0*j. Let u = j - 193. What is the remainder when 81 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/9*6\/56*(-296)\/740.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 14*g. Suppose -2*m = -3*m - 2. Let l(a) = -a. Let j(h) = m*z(h) + 20*l(h). Factor j(b).\nAnswer: 4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 + t + 2. Suppose -215*z + 198*z = -340. Calculate the least common multiple of x(2) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 - 8*s - 58. Let i(d) = -2*d**2 + 3*d + 19. Calculate -8*i(a) - 3*x(a).\nAnswer: -2*a**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 1\/25, -0.4, -4, -3\/5, 30?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 25 = -3*f, -5*f - 2*i + 10 = -8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {l: 4, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 + 7*v - 10. Let g be r(-8). Put -1, g, 0 in increasing order.\nAnswer: g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82252291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.6. Let t be -6 + -6*1\/(-2). Sort t, 2\/9, g.\nAnswer: t, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*a = f + 189*a - 93*a - 10, 0 = -5*a + 15 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose o = -0*o + v. Suppose 0 = -0*y + 5*y + 5*l - 20, -4*y + o*l - 11 = 0. Sort 0, y, -5 in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -1702.\nAnswer: -1702.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 4. Let o be q(4). Let r be (1 - (o - -1))*1. Suppose 5*c - 109 = 11. What is the highest common divisor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82679 or -67267?\nAnswer: -82679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - f + 6*f**2 - f - 13*f**2 as z + g*f + q*f**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*a**3*b*m + 98*a**3*m**2*z - a**3*m*z - a**2*b*z**3 + a*m - 6*b*m**2 - m*z**3 - 5*m*z with respect to b.\nAnswer: 18*a**3*m - a**2*z**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 7*d**2 - 4*d - 23. Let h(g) = 68*g + 605. Let j be h(-9). Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 + 78*f**5 + 25*f**2 - 4 wrt f.\nAnswer: 120*f**3 + 4680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 13071\nAnswer: 5097.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-54)*-3)\/((-9)\/((-972)\/(-60))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-120)\/(-80))\/(39\/3342014) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208278*u**4 + 73684*u - 2 wrt u?\nAnswer: -2499336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/34*3\/12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -71, -71, -53, -11, 61?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t**2. Let a(w) = -2*w**2 + 4*w + 1. Let u(d) = 7*d**2 - 4. Let c(q) = 4*a(q) + u(q). What is o(c(z))?\nAnswer: 17*z**4 - 544*z**3 + 4352*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -6. What is the closest to m in 1, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513592 divided by -64199.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-221)\/3 - (-4)\/(-72)*6. Let t = s + 42. Let n be t\/10 - ((-1)\/(-5))\/(-1). Let i(p) = p**2 + 2*p + 3. Give i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*w**2 - 44*w**2 + w - w to the form o*w**2 + h*w + p and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074.1184103 - -9.61?\nAnswer: -2064.5084103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from fynyfadnynynfadfffff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, 2\/5, -1.573?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/115 and 15\/391.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 4*v**2 - 4*v**2 + 10*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49784702*g**3 - 4889485.\nAnswer: -149354106*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t - 6*t - 2*t + 11*t to v*t + i and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136276, -136275, -136274?\nAnswer: -136273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -33*3\/9 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 301. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.250675 litres in millilitres?\nAnswer: 1250.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13582961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 15*c**2 - 48*c - 1. Let d be t(-10). Sort -3, 59, 3, d, 5 in descending order.\nAnswer: 59, 5, 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 + -146. Suppose 0 = 16*t - 16 - 103 - 41. What is the greatest common factor of t and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357601, -1430400, -3218397, -5721592, -8939985, -12873576?\nAnswer: -17522365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-6)\/(-6 - 0*7\/(-49)). Sort 1, -1, -8, j in increasing order.\nAnswer: -8, j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:58 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*v**2 - 484*v**2 + 213*v**2.\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*-2*(-3)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2268) - sqrt(2268))*-5)**2 - (6*sqrt(42)\/sqrt(6) - ((0 + sqrt(7))**2 + sqrt(7) + -3)).\nAnswer: -5*sqrt(7) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(120)\/sqrt(5))\/((-2*sqrt(108) + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -37, 1\/4, 200?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21.5353+-8\nAnswer: 13.5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 2*s + 124. Let a be 14\/4*(-1420)\/497. Let p be n(a). Solve -4*k + p = 4*x, -2*x - 4 = -k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7863 = -1035*o + 618 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099069760?\nAnswer: 2, 5, 107, 32099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 12 = -7*i. Let v = -2 - i. Let n be (-1)\/v*(-15)\/(-9). Which is the nearest to n? (a) -1\/3 (b) 2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331916985 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j*n*r**2*x + 2*j*n*r*x**2 + 6*j*r*x**3 - 2*j*x - 2*n*r**2 - 14*r**2*x**3 - r*x**3 wrt r.\nAnswer: 12*j*n*x - 4*n - 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 17. Solve -3 = 2*j + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 6. Let x = -6 - y. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 107*r**2 + 1. Let l be b(1). Let m be -2 - -4 - l\/9. Suppose -2*s + 2*y = -s + 3, 0 = s + y + 12. Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + k + (3 - 3 + k)*(-4 + 2 + 3))*(3 + 11*k + 5*k - 50*k) to d + h*k + w*k**2 and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 338.765541 and -1.41985.\nAnswer: 337.345691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 61 = 5*g, 0 = -d - 0 + 1. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 7552089?\nAnswer: 7552089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = 3*g - g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 8*a**2. Let j(g) = g**3 - 3*g**2. What is 8*j(z) + 3*o(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 542 and -3.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/20 - 85*w**4\/24 + 14*w**3\/3 + 2*w**2 - 7*w - 4. Determine y(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470114*o**4 - 11*o + 5641.\nAnswer: 5641368*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -12201201220202?\nAnswer: 12201201220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 - 75*r + 67*r + 8*r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 z, and 1 y when three letters picked without replacement from yuuzh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 3451767.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**4*m*m**(-2)*(m\/(m*m**(-3\/2)))\/(m**(-1\/3)*m))\/(((m**(1\/3)\/m)\/m**(1\/5))\/(m\/(m\/(m**(-3\/4)\/m))*m**1*m)) assuming m is positive.\nAnswer: m**(119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = 2*v, -4*v = 2*f + 10 - 6. Suppose 0 = -u + 4*l + 940, 0*u + 2*l + 4718 = 5*u. Suppose 4*q - u = -f*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - -1 - 14016\/1971. Let s = -85 - -82. Which is the biggest value? (a) -81 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 1358*o + 15470. Determine h(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s - 16*s**3 + 15*s**3 - 3*s**2 + 8*s + 2 - 6*s. Let f be 6\/(-39) + (-63)\/13 + 2. Calculate q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*b - 24150 - 13950. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56709 - -1701439\/30. Calculate the common denominator of 179\/30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626554 is divided by 5496.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-146.3.\nAnswer: -73.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 16*r**3 + 2*r**2 + r**2.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 86 = 12*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 - 32*s + 19. Determine c(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 37 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -1.2. Let h = 0.2 - c. Let w = -3 + 1. What is the second biggest value in h, 0, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 943, 3392, 7469, 13168, 20483, 29408, 39937, 52064?\nAnswer: 65783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3 - 386720*k**2 - 773412*k + 1160136 = 0.\nAnswer: -96678, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*a - 2*b, -a = 11*b - 8*b - 10. Let f be a\/(3 + (-15)\/6). Let t(z) = -z**2 - z - 2. Calculate t(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68.1 + 68. Suppose -2 = -3*x + 4. Let j = -0.1 + -0.9. Which is the closest to j? (a) -1 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 - n**2\/2 + 6*n - 4. Let p be c(0). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (3 + -3)) + 138 + -173.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 36*p**3 - 34*p**3 + 16*p**4 - 2*p + 8*p - 19*p**4 as h*p**3 + g*p**4 + c + y*p**2 + f*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v = 513*v - 8640 - 960 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 36*m - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -214631*s - 28. Give g(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + -28.94. Let i = -20 + u. Let m = i + 48.63. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774360 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-5 - (-2135)\/455. Suppose 4 = -2*i + 2. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 9) to base 10.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.4. Let k = -259 - -259. Suppose 5*w = -2*f - k*w + 18, 0 = 5*f - 4*w + 21. What is the closest to f in d, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -122, -4, -14, -5 in increasing order.\nAnswer: -122, -14, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345 - 225. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4595789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -197*s - 4. Let m be p(-1). Let a = m - 96. What is the remainder when a is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjjtptctncjpccznttp. Give prob of sequence jc.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 - (3 + 0)) + (-2915 - -2940)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*y + 286 = -22*y - 44 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9641594 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -422 + 46*o**2 - 420 + 845 - 32*o**2 + 17*o. Let k(c) = 5*c**2 + 6*c + 1. What is -3*j(g) + 8*k(g)?\nAnswer: -2*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 - 163. Do 55 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 + 16*g - 22. Calculate i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 + 3*u + 4. What is the remainder when q(-4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20.4 in -144, 0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let g(k) = -5*k**2 - 30. Let q(c) = -8*c**2 - 62. Let n(s) = -5*g(s) + 3*q(s). Determine r(n(y)).\nAnswer: y**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82938 = -3174*g - 20454 - 77526 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 239435653\/3693 - 64835. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 = -34*j - 163. Suppose 0 = 20*l - j*l - 16850. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwwwwww. Give prob of sequence wwww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (28\/10)\/(((-6307)\/530)\/(-119))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*k + 83*k + 2*l + 6, 6 = -0*l - 2*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/19)\/((21 - 26)\/(-5)). Which is the second smallest value? (a) 2\/91 (b) g (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 183440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*h - 1682*h = 2961 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 52?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136\/9 + -1750\/117. Let n(g) = 2*g**3 + 24*g**2 - 4*g - 51. Let c be n(-12). What is the closest to 1 in 2, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 2\/13, -1009, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c + 58*c = 75*c + 1376 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1284 - -12773. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3))**(-11)\/(k**4)**18 assuming k is positive.\nAnswer: k**(-172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.3, 1\/2, 0.2, 1\/42, 0.05.\nAnswer: 1\/42, 0.05, 0.2, 1\/2, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53510 is divided by 10702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -2*n + 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-64)\/(-6) + 4\/12. Suppose -l - 306 = -u*l. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -90. Calculate the least common multiple of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 0, -3, 5 in decreasing order.\nAnswer: 124, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 43450, 4 in increasing order.\nAnswer: -2\/3, 4, 43450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781 - -0.1.\nAnswer: 781.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 + 266*d**2 - 3*d - 70*d**2 - 140*d**2 - 91 wrt d.\nAnswer: 112*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114 times 274?\nAnswer: -31.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182419 - 182104 = 45*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 298\/(-5) - 48\/(-80). Let m = 70 + -132. Let x = n - m. Solve -x*d = -4*d - 2, 0 = -5*q - 5*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = -0*r + 3*z, -133*z = 201*r - 185*r - 130*z + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = l + 1 - 10, 5*l = 3*d + 35. Let o be (0 - 26) + (l - 6). Is 4\/(-14) - 764\/o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21621, -43209, -64797, -86385, -107973, -129561?\nAnswer: -151149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6688 = 15*h. Let a = h - -565. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196323973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112028236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 92 - (23 + 13 + 4 + -20)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - 3*y)*(-4*y**2 + 3*y**2 + 3*y**2) - 45*y**2 + 45*y**2 - 24*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001564 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 12725?\nAnswer: -12730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(408)\/(sqrt(24)\/sqrt(3) + sqrt(8)))\/sqrt(3).\nAnswer: -5*sqrt(17)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 409.9 times -0.16\nAnswer: -65.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yyyyooyyyyhhy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 + 245*a - 245*a - 5*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5996 - -1) + (-10 - -7). Let h be 1\/(-2) - c\/(-4). Round h to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1023 and 97526.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 85942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.015 - 20.015. Let l = -118 - -119. Is b bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 6 = 19*j. Suppose -j*z - 5*l = -8*z + 29, -l - 16 = -4*z. Solve 1 = z*y + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53139?\nAnswer: 3, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 7*f + 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11.53201 micrometers?\nAnswer: 0.00001153201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose -20 = -4*q - 2*s, -22 = -y*q - 2*s - 3*s. Suppose 0 = q*x - 105 - 87. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14964770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-7) - 8 - -36. What is the highest common factor of 187 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.239405102.\nAnswer: -0.718215306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -12 + (14 - (-13 + (0 - -4)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 11*s. Calculate u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 492\/7 - 5454\/77. Which is the third smallest value? (a) 0.5 (b) -6 (c) 0.4 (d) p (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1761.\nAnswer: -176.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 1)*(-1 - 3 + 3) - 2 + 1 - 1 + 2 - 3 + 0)*(r - r + 2*r) to the form o + b*r and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/131213 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384484404 to the nearest integer?\nAnswer: 19608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 12. Let q = 22 - 26. Let j be n(q). Solve j = -0*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-2)\/8)\/((-9)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -1\/2*h**3 + 1\/12*h**4 + 0*h + h**2 + 2. Let v(u) be the second derivative of j(u). Give v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(66)\/sqrt(24) + 1)**2.\nAnswer: -2*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h**3 - 40*h**2 - 42*h + 2. Let x(d) = -19*d**3 - d**2 - 1. Let r(g) = o(g) + 2*x(g). Let i(n) = -n**3 - n**2 - n. Determine -84*i(y) + 2*r(y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyyyyyyyvyyyyyvvy. Give prob of picking 1 v and 1 y.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.64 - -0.24. Let h = -1694 + 1690. What is the nearest to -1\/3 in m, h, 0.18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 10*v + 19*v to j*v + c and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53.2 or 401?\nAnswer: -53.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/5 + 4*v**2\/15 - 122*v\/15 + 8\/3 = 0. Calculate v.\nAnswer: -5, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 - 5*l**2. Let d(c) be the first derivative of -3*c**4\/4 + 2*c**3\/3 - 1. What is -15*d(u) - 6*n(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 20146603?\nAnswer: 20146607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 33. Suppose 4*w - z - 37 = 0. Calculate the greatest common divisor of 77 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501182 by -11.\nAnswer: 45562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 10*d - 12. Suppose -2*j + 96 = -14*j. Determine t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 105133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6 - 4. Solve -4*m - a = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-75633)\/119 + 2*1. Let l = -631 - h. Let i = 535\/187 + -61\/17. What is the common denominator of i and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let m be 0 + 0\/y + 2. Solve -2*v = m*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:44 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - b + 21. Let f(k) = -2 - k + 3*k + 3 - 4*k. Calculate f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.1 - -2.7. Let t = n - 22. Round t to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 1308*c + 13 + 1091*c as k*c + g and give k.\nAnswer: 2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Suppose -5*w + 13 = -4*x, -w + x = -2 - 0. Let f(s) be the second derivative of -1\/2*s**2 - 13*s + 2. Determine w*f(t) - 2*c(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9679.9431 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f - 5. Let z(v) be the third derivative of 5*v**4\/24 + 2*v**3\/3 - 18*v**2. Give -4*w(q) - 5*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2084, 4905, 7726?\n\"Answer: 2821*u - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 7*c - 31*c - 3*c - 20*c**2 + 2.\nAnswer: -20*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31992 * -259\nAnswer: -8285928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5487*c - 6 = -5485*c, -4*s - 5 = 3*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*(-3)\/(-2)*60\/(-45).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 94. Let s = -7 - -7. Suppose 168 = 7*r - 0*r. Calculate the remainder when c(s) is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 33839937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:28 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 5*y**7\/42 - 5*y**6\/24 - y**5\/15 + y**4\/6 + 3*y**2 - 10*y. What is h in d(h) = 0?\nAnswer: -2\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -4.94?\nAnswer: 19.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/24 + h**3\/6 - 2*h**2. Suppose 3*z = -g - 12, -8 = -0*z + 2*z + g. Let x be u(z). Solve 0 - 20 = x*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b - 0. Let d be b\/(2 + (-100)\/48). Find the common denominator of 12\/(-6)*113\/d and 40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 (base 8) in base 10?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76829114820 - 75*c**2 - 76829114820 + c**3.\nAnswer: c**3 - 75*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047993571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {z: 1, o: 1, l: 1, x: 2, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (1 - (3 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32696*l**2 - 33022*l**2 - 3 + 3.\nAnswer: -326*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -912872936 - -1?\nAnswer: -912872935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/7 + -19\/21. Let z = 48.75 + 45.67. Let q = z + -94.1. Which is the third smallest value? (a) q (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 2. Let z be m(-8). Let s(d) = z*d - 16 + d + 17. What is the lowest common multiple of 10 and s(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -74. Let u = m - 7. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 24 (c) 0.2 (d) 2\/9 (e) -59455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-20)\/14 + 3*4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -109\/2. Suppose d = 3*d. Suppose d = 3*h + 6 - 3. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 3033 = -3213 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87058 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: Are 65917291 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2458*c**5 + c**3 + 33*c**2 - 3*c + 4?\nAnswer: -147480*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 79. Suppose i*a - 2 = 7*a. Let x = -0.06 + 0.56. What is the nearest to a in x, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 40?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2941, -4972, -7003, -9034, -11065?\n\"Answer: -2031*l - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -48 + 2 + 15 + 10 + -15\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168204.\nAnswer: 2, 3, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -42. Suppose -s = n - 41. Let i(t) = 6*t**2 - t - 1. Calculate i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23785.89 litres to millilitres.\nAnswer: 23785890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p + 13 + 35 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128956*t + 27 = -128974*t - 3*n, t - 2*n = -8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187247, 178025, 168805, 159587, 150371, 141157, 131945?\nAnswer: 122735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 257*a**4\/24 - 3*a**3\/2 + 4*a**2. Let q be w(3). Is (2\/(-4))\/((-1)\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8032, 16062, 24072, 32062, 40032?\n\"Answer: -10*k**2 + 8060*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 353725664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-11 - -8) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let s(w) be the third derivative of -w**4\/12 + 7*w**2. What is t(s(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 1, r: 6, e: 4, h: 3, k: 2}. Give prob of picking 3 h and 1 i.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:19 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119, -206, -303, -416, -551, -714, -911?\n\"Answer: -u**3 + u**2 - 83*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -4. Let a = -29.0065 - z. Round a to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 5 + 5 - z + 3*z - z + (1 - 3 + 0)*(z - z + 2*z))*(-3*z**4 + 2*z**4 - z**4).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**3\/3 + 5*k**2\/2 + 12*k - 3. Is 6 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10867892*c**3 - 1041405*c**3 - 1989557*c**3 + 3833625*c**3.\nAnswer: 11670555*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43493, 87140, 130787, 174434?\n\"Answer: 43647*o - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(5 + (sqrt(180) - (sqrt(180) + (sqrt(180)*1)**2 + sqrt(180)))) - (-3 + sqrt(80) + ((sqrt(80) - (0 + sqrt(80) + sqrt(80))**2) + -4 - sqrt(80)))).\nAnswer: -2708 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r, 8 = 4*s + 2*r + 42. Let d(v) be the third derivative of -v**4\/12 + v**3\/6 - 10*v**2 - v - 12. Let m(j) = -j + 1. Calculate s*m(p) + 5*d(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 4. Let a be r(0). Suppose a*f + 23 - 7 = 3*s, -4 = -5*s + f. Suppose -6 = -3*c - s. Solve o - 4 = 3*j, -5*j + 12 = c*o + o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.038 in -1\/5, 0.2, 188, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50139308 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*h + 69*h + 50 - 50 - 175*h)*(-h + 5*h - 3*h).\nAnswer: -439*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(304)*-2 - (2*sqrt(19) + sqrt(19) + 0 - (sqrt(931)*-1 + sqrt(19))**2).\nAnswer: -11*sqrt(19) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 0 - 85*q + 8 + (-1 + 2 - 3)*(2 - 2 - q).\nAnswer: -83*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1903396, -3806790, -5710184, -7613578, -9516972?\n\"Answer: -1903394*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 2*v + 3*v**2 + v)*(0*v**2 - v**2 - v**2).\nAnswer: 2*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 1a40?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 7)*((-25)\/2)\/5. Let t(c) = c**2 + 8*c + 5. Calculate t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 - 9. Let p be o(7). Let s(q) = 4*q - 9. Let c(w) = -w + 2 + w - 2*w + w. Calculate p*c(r) - 2*s(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.44 and 196.\nAnswer: -86.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 24*p - 62 = 3*t, 4*p - 36 = -t. Solve p = -2*r - 5*n, -8 + 20 = 4*r + 2*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718030.\nAnswer: 2, 5, 59, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/48 - (-375)\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-170))\/((-5)\/(75\/30*-4))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 73 = 7*h - 2*h, 0 = 4*h + 4*l - 84. Let y(k) = -k**3 + 4*k**2 - 3*k. Let r be y(3). Does r = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) - sqrt(12)*-1) + (sqrt(432)*2 + sqrt(3))*-4.\nAnswer: -96*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + p - 4. Let z be w(-2). Suppose 6 = -z*a + 16, -2*k = a - 9. Suppose -2*y + 10 = 3*y. Calculate the smallest common multiple of y and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-2 - -1)) + -1. Let w be 4 + (1 - 3 - a). Suppose 5*x + 30 = 5*m, -4*x + 5*m = w + 26. Round x to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 4:38 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221210101 (base 3) in base 8?\nAnswer: 113125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 888206607 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 0.4. Let c = -1.1 - o. Let k = -8193\/4 + 2048. Sort 2\/9, k, c in ascending order.\nAnswer: k, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4 + 15. Let o(n) = -2*n**3. Let z(k) = -k - 16. Let d be z(-12). Determine d*t(r) - 7*o(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -87. Calculate the smallest common multiple of ((-33)\/1)\/(2 - (-21)\/(-9)) and r.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*g - 23 = -58, 3*k = 5*g - 16. Solve -q - 1 = -k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -7, 0.4, 303\/5, 25\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1634 * -10192\nAnswer: 1665.3728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5607274 decades?\nAnswer: 0.005607274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 6, 1, -2, 171 in increasing order.\nAnswer: -5, -2, 1, 3, 6, 171","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -3\/2*z**2 - 1\/120*z**6 + 0*z**5 + 0 - 2*z + 1\/24*z**4 + 1\/3*z**3. Let p(u) be the first derivative of b(u). Determine p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344065 (base 7) to base 16\nAnswer: f004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - (-1448)\/36. Let p(j) = j**2 - 3*j - 6. Let f be p(5). Suppose 0*o = -f*o + x. Solve 2*n + 0*n + o = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 3*n**3 + 4*n**3)*((2 - 3 + 3)*(n + 0*n - 3*n) + 0 + 5*n + 0).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*l = l - 120, 54 = 2*h - l. Solve -m + 5 = p - 6*p, 0 = -5*m - 5*p + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 24. Solve -4*m + u*f + 2*f = -22, 3*f + 21 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5394367 millilitres in litres?\nAnswer: 0.0005394367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - 1. What is d(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + sqrt(56)\/sqrt(2) - sqrt(28)) - ((sqrt(448)*1)**2 + sqrt(28) + -1 + sqrt(4032) + sqrt(4032))) + -3.\nAnswer: -446 - 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11422297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117909083, 235818165, 353727247?\nAnswer: 471636329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29549, -29 in increasing order.\nAnswer: -29, -2, 29549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310944673.\nAnswer: 13, 149, 229, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 + y - 57. Let c be x(0). Let a be 6\/(-9)*9\/c. Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10184931 is divided by 311.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l - 91 + 415 = 0. Solve 8*n = l*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 2*z**3\/3 + 5. Let u be (-20)\/25*(-10)\/4. Let a(x) = 0*x - x - 6*x + u*x. Determine a(m(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 25*h**2 - 1. Let q = 56 + -57. Give t(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 32. Is h equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12342340 + -1?\nAnswer: -12342341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5392111*b**2 - 3154390*b wrt b.\nAnswer: 10784222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*8\/100*5. Let w = v - -4. Let m be 35\/7*w\/5. Solve -m*a + 7 - 1 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/352 and -103\/72600.\nAnswer: 290400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n. Let v be 0 + (3 - 6) + 0. What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by -4.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 - 95*h - 538. Let u be r(-5). Solve 65*o - u = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 115 = 142 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/64*0)\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10 - 5*d + 3*d - 10 + 4*d. Suppose 528 = 3*c - 2*y, -3*c = 3*y - 658 + 115. What is the remainder when c is divided by i(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 + 1.74. Let y = 3.06 + -3. What is the second biggest value in 4, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-23)\/4)\/((-1)\/4). Let m = -10 + c. Suppose g + 4 = m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2712552 and 30.\nAnswer: 13562760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 1633, 3848, 7021, 11170, 16313?\nAnswer: 22468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 94, 60, 3, -3.\nAnswer: -5, -3, -1, 3, 60, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/8, 0.55, 2\/5, -21, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.4 (c) -87 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3734*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2 - 2 - w) - 25*w + 47*w + 38*w + (2*w + 0*w - w)*(3 - 2 + 1) + 1 + 2*w - 1 - 3*w + 0*w + w + w + 5*w - 2*w.\nAnswer: 64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = 3*u, -3*n - 10 = -n + 2*u. Let v be (-8)\/n*509\/3. Let q = v - 226. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 451873529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (13 - 3) + 20 + -25 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1679\/(-46))\/(1\/36)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.0912 (c) 0.3 (d) 2\/9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 405 = -0*x. Let u = x + -56. Suppose -3*k + u = -5. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*c**3 - 460*c**2 - 2552*c - 544.\nAnswer: 4*(c - 17)*(c + 4)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 3*r - 3. Let a be h(6). Let u be ((-20)\/2)\/(5\/a). Calculate the remainder when 9 is divided by u\/(-12) - (-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 201 = 77*m. Let i = -13 + 13.9. Sort -0.5, i, m in decreasing order.\nAnswer: i, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k - 10*k + 107*k**4 - 4*k**3 - 4302*k**2 + 4303*k**2 in the form q*k**4 + w*k + j*k**3 + s*k**2 + b and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 322550563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*o = -25, 3*c = 5*o - 10*o - 19. Suppose -2*v = -c, 5*d - d - 4*v = -192. Let w = d - -86. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*k**2 - 421*k**2 - 54*k - 149*k + 3 + 5*k.\nAnswer: 2*k**2 - 198*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*g - 5*o, 8*o - 5 = 2*g + 3*o. Let q = -6 - g. What is the first derivative of 2*u**3 - 2 + u**q - 2*u**3 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 210\/(-3)*1. Let m = t + -29. Suppose -28 = -3*s + m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 10. Let x be p(0). Let b(l) = l**2 - l. Let o be b(-2). Suppose -2*n = o - 14. What is the greatest common divisor of x and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8573 minus 7.73225?\nAnswer: -8580.73225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3.3. Let i = -0.1 + 0.4. Let p = -4313\/16 - -4317\/16. What is the closest to 6 in b, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 7) in base 11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -41. Suppose -3*d - d = h*t - 144, 2*d - 4*t - 66 = 0. What is the highest common factor of d and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 2840 - 2072 = 0 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.646 take away -255?\nAnswer: 256.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -142 + 420 - 138 + 17*a - 141. Let p(g) = -16*g + 1. Calculate 3*b(n) + 4*p(n).\nAnswer: -13*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6750 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-23652)\/2628 - -4*1\/4*101).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-216)\/120*-13*35 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**2 - 11*y - 8. Let r(l) = 3*l**2 + 3*l + 2. Give 2*j(f) + 9*r(f).\nAnswer: 5*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + f**3 + 13*f**2 - 8*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.3 - -16. Let g = d - -5.297. What is g rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*g**4 + 11*g**3 - g - 80625?\nAnswer: 200*g**3 + 33*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 224*t + 673. Let k be b(-3). Solve -23 = -4*p + a, 2*a - k = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1823\/612 + (-15 - (-4807)\/323) and -115\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2127528\/610016 + 1 + -3. Let p = f - 18\/1733. Calculate the common denominator of p and -29\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from dddudljjjluddjbll?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*m + 1006984822 - 1006984822.\nAnswer: 317*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -126*l + 8. Let j be m(8). Let z = j + 109. Is (-5)\/(30\/z) - 1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*m + 2*r, m + 0*r - r + 3 = 0. Does 5 divide 1\/4 + (-142)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-189)\/(-36)))\/(-2*(-14)\/105)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2.3 (b) -1.5 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32004 in 0.1, 11, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -49.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/((p\/(p*p\/(p\/p**7*p)))\/p))\/p*p\/p**(3\/10)*(p**(-2\/11)*p)\/(p*p**4) assuming p is positive.\nAnswer: p**(497\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(35)\/sqrt(5) + -4))**2 - (3 + (sqrt(189) - sqrt(21))\/sqrt(3) + 2).\nAnswer: 574*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/39208 and 27\/247312.\nAnswer: 3215056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 - 18*v - 19. Let f be m(7). Are f and 100 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 90.02. Let h = k - 0.02. Let p = 10959 + -10961. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1094 divide 34661866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1957*0.473\nAnswer: 925.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Suppose v = -3*m - m + 20. Solve -m*q - 15 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 15 = 4*v - t, 2*v = 5*t + 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 1. Suppose -277*f - 2 = -276*f. Let h(y) = 4 + 17 + 1 - 20*y. Calculate f*h(p) + 44*i(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.740392km in centimeters?\nAnswer: 74039.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42914 and 37410.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/4, 5, 372\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75772094467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 491, 3, 5, -2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 69*h - 879. Let b = 110 - 69. What is the remainder when n(20) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.34 millennia in years?\nAnswer: 1538340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2342 + 24550015?\nAnswer: 24552401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 113269 times -15.9\nAnswer: -1800977.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 19*x**2 - x - 2. Let h = -12 + 11. Let r be n(h). Calculate the remainder when 50 is divided by (24 - 3)\/(-3)*r\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21 - -17)*(-2)\/20. Let z = -0.184 + 0.484. What is the nearest to w in -0.1, -7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 + 1 - i)*(-4 + 11 - 5)*(4 - 2 - 4).\nAnswer: 8*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57932.\nAnswer: 2, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 23 + 72 + (-118 - -48).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - -3.03. Let v = -2.29391 - -2.19391. What is the nearest to v in -1\/55, 5\/3, 0.4, a?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 18 = 2*v, -3*v + 5*w = -v - 21. Suppose -2*k + 7 = 3*b - 2*b, 5*k - 25 = -5*b. Is b greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (63\/6)\/(-7)*2. Is 6 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -390, 3, 2, 419 in descending order.\nAnswer: 419, 3, 2, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttq when four letters picked without replacement from qbttbttptptqtbt?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 52*o**2 - 4*o + 4. Let x(q) = 153*q**2 - 13*q + 6. Let f(t) = 13*r(t) - 4*x(t). Let n(j) = 7*j**2 + 3. What is 6*f(k) - 56*n(k)?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -565.\nAnswer: -565, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -12 - -1 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 60195, 3 in decreasing order.\nAnswer: 60195, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 16*f**2 - 748*f - 2913. What is m(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009359443 rounded to 6 decimal places?\nAnswer: 0.000936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269108149 - 269108203.0000011. Let f = 54 + h. What is f rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -533 + 275. Let a be v\/(-24) - (-9)\/(-12). Is (230\/(-20))\/((-1)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -457 + 456.9. Sort -5\/3, -2\/39, n in increasing order.\nAnswer: -5\/3, n, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 3*g + 4*g + (30*g - g + 6*g)*(0 + 1 + 0) - 2 + 2 - 2*g.\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:57 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two sevenths of a week in hours?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*3*sqrt(13).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 10*w**2 + 14*w - 24. Determine z(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 6) + -40 + 1. Let q be 3\/6 + x\/(-2). What is the highest common factor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 3*u + 4*u)*(303*u - 1075 + 1075) as r*u**2 + c*u + z and give r.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggllwgwarggwala. Give prob of sequence lg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956713739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-351)*195*7\/3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -102.\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2522, 20361, 68860, 163373, 319254?\n\"Answer: 2559*k**3 - 24*k**2 - 2*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3941*n = -3943*n + 2*q - 52, 118 = -3*n - 17*q for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 24. Let m = s + 30.00016. Round m to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = 0. Suppose u + u - 4*l = 4, a = 3*l + 6. Let r(y) = 2*y**2 + y + 2. What is the units digit of r(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79163 + -34619. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 0, 0 = 2*g - w + 6*w - 34. Suppose 4*u - 3*u = 13. Let k = u - g. Sort k, -0.3, 0.1.\nAnswer: -0.3, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 54. Suppose 0 = -n*i - 0*i + 3*w + 254, -w = 3*i - 381. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019441947 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (2*sqrt(204) + sqrt(204)) - sqrt(204))*-6 + sqrt(204)*-3*5)\/(sqrt(144)\/(sqrt(84)\/sqrt(7)) + (sqrt(48)*-6 + sqrt(12) - sqrt(12))))**2*-1.\nAnswer: -153\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2*d + 1)*(7 - 2 + 2) in the form y + k*d and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/108)\/((-40)\/(-8)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, k: 6}. Give prob of sequence ffff.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/7*w**3 + 9\/28*w**4 - 6\/7*w + 5 - 9\/14*w**2 + 3\/35*w**5. Factor h(n).\nAnswer: 3*(n - 1)*(n + 1)**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*t**3 + 715 + 4*t - 715 + t**3 + 44*t**3 - 51*t**2 wrt t?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/288)\/((-30)\/99)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -29*h + 140 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 7, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812392 and 7476.\nAnswer: 2437176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 11:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-26)*(-2249)\/346.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n + 146 + 143 - 289 + 14*n**2 wrt n.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from rtwwwrrwownwwnr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 3*n - 3. Let i be t(-5). Let p = -3 - i. Let c = p - 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396.5405 + -0.0405. Let x = h - 397. Which is the nearest to 6? (a) -5 (b) x (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6008226*g**3*r**4 + 2*g**3*r**3 + 2*g**3*r - g**3 + 509*g**2*r + g*r + 2244*g - r wrt r?\nAnswer: 72098712*g**3*r**2 + 12*g**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -63, -273 in ascending order.\nAnswer: -273, -63, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10232010 - 10000?\nAnswer: 10222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/7, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9306*w - 36662*w - 3005*w.\nAnswer: -30361*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 11*d + 145. Let o = 44 - d. What is the least common multiple of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316703 take away -21091?\nAnswer: 337794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) 4 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-30)\/24). Put -0.2, g, -3\/5 in descending order.\nAnswer: g, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*1*(-45)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 3*g, -5*n = -5*g + 5 + 15. Let v(z) = z**2 + 7*z. Let m be v(n). Let u = m + 25. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 212\/6 + (-2)\/6. What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 + (9 - -2). Let k = u - 6. Let o(y) = 3*y - 2 + 3 - k. Calculate o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 1. Calculate the least common multiple of 8 and l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 42, 111, 218, 369, 570, 827, 1146?\n\"Answer: x**3 + 10*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let o(y) = 6*y**2 + 4*y - 2. What is -o(a) + 4*s(a)?\nAnswer: -10*a**2 - 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 14, 0, 0.3, -0.3, 2.75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 4.7. Let l be (13\/(-4) - 0)*4. Let b be (-1 - l\/15) + 0. Sort h, -5, b in descending order.\nAnswer: h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2))**2 + sqrt(2) + 5)*5.\nAnswer: 5*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5) + -5)\/(-2 + -4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -60*m + 81*m**2 + 14*m - 17*m. Let x(t) = -5*t**2 + 4*t. Give -4*p(c) - 63*x(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 205*k**3 - 2256*k**2 - 37*k + 301. What is n(11)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1443*f**2 - 161*f wrt f?\nAnswer: -2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -303 in -2\/79, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*h = 192 + 212, 0 = -h. Is 202 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283200 divided by -56640\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*o - 5*d = -155*o - 9, -d = -5*o + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 974150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0700595601 to 4 dps.\nAnswer: -0.0701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1742, 3446, 6098, 10172, 16142?\nAnswer: 24482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 1416045280.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -4*v - k + 2320, 2*v - 5*k - 1363 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -59, -84, -111, -140, -171?\n\"Answer: -p**2 - 20*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 2*y + 1. Let t be o(-2). Let b = t - 2. Is 5 a factor of (-14)\/2*(0 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20448527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 3. Let z be i(2). Let a = -4 + z. Calculate the smallest common multiple of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 4*g - 15 + (-3 - g + 3)*(0 + 4 - 3) - g + 4 - 4)*(-1382 + 319 + 489) to the form r*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t + 6*t + 1 - 6*t + 32*t + 9*t + 37*t + (4 + 1 - 3)*(0*t - 2*t + 3*t) - 2*t + 0*t + 4*t.\nAnswer: 89*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1364470, -5 in ascending order.\nAnswer: -5, 0, 1364470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601\/28 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 87*h**3 + 963*h**2 + 66*h = 0.\nAnswer: -11, -2\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17276 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 + -265. Calculate the remainder when (-11)\/((-22)\/16) - -4 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2637? (a) 1627\/6 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206821 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.026, -22, 0, 5, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from fffffsfsssssfs.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22885869.\nAnswer: 3, 37, 206179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -4 + -4 + 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 304*k**2. Let t(r) = 4*r**2. Give y(t(h)).\nAnswer: 4864*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 1. Let g(l) = -14*l**2 - 6*l + 7. Let o(x) = -g(x) + 6*n(x). What is the derivative of o(u) wrt u?\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42798 divided by -3?\nAnswer: 14266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(78) + sqrt(78) + -1*sqrt(78)*-4 + sqrt(78))*5)\/(-2*(-1*sqrt(96) + sqrt(96) + sqrt(96) - (sqrt(864) + sqrt(864)*2))).\nAnswer: 35*sqrt(13)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1642901, -1642897, -1642893, -1642889, -1642885?\n\"Answer: 4*y - 1642905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/180 - n**4\/24 - 5*n**3\/9 - 13*n**2 - 3*n. Find o, given that p(o) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11111940 to the nearest 10000.\nAnswer: 11110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1649.66642 to the nearest integer.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w + 272. Let p be t(8). Let h be (-280)\/p + (-1)\/6. Let u = -5.8 - -4. Which is the closest to 1? (a) u (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -43*k**2 - 9*k - 18. Give j(-2).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 13. Let d(k) = -6*k**3 - 5*k**2 + 10*k - 42. Give d(s) + 3*x(s).\nAnswer: -3*s**3 - 5*s**2 + 10*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20534756 and 2796.\nAnswer: 61604268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 355, 5?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30546389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(9*r - 4*r + 4*r)*(-151 - 20 - 19) + 4*r - r - 4*r.\nAnswer: 1709*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 35*t**3 - 347*t**2 - 93*t - 7. Let g(r) = 35*r**3 - 346*r**2 - 94*r - 6. Let k(n) = 6*c(n) - 7*g(n). Factor k(l).\nAnswer: -5*l*(l - 10)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 794.24 + -809. Let o = w - 0.24. Let l = 15.00028 + o. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 26*y + 749. What is m(-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(2*p**4 - 3*p**4 - p**4)*(2*p + 3*p - 3*p).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-15)\/6)\/((-2)\/4). Suppose 0 = 9*b + j*b - 308. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:13 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, 8444, 182 in descending order.\nAnswer: 8444, 182, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -241, -1180, -2733, -4894, -7657, -11016, -14965?\n\"Answer: g**3 - 313*g**2 - 7*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*l**3 - l**2 - 101*l + 21942 wrt l.\nAnswer: -51*l**2 - 2*l - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8628 + 8622. Let v(j) = 3 + 2*j**2 + j + j**3 + 6*j**2 - 2*j**2. What is v(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512074628 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiib when four letters picked without replacement from {p: 2, b: 6, i: 6, j: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -38. Let s be 36 - 3\/i*3. What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3*r**2 - h**3*r + 16*h**2*r**2*t**2 - 4*h**2*r*t**2 - 5*h**2*r*t + 2*h*r*t wrt r?\nAnswer: -6*h**3 + 32*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3903256 divided by 278804.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-12))\/((-14420)\/34608). Let k = 74 - 368\/5. Which is the biggest value? (a) 9 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b7 - -669ba?\nAnswer: 67ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-9) + (-9)\/7. What is the closest to 2\/3 in -5, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1200) - (sqrt(1200) + sqrt(1200)*1)) + sqrt(1200))**2 - ((sqrt(36)\/sqrt(2)*6)\/(sqrt(6) + sqrt(6)*1*3))**2)*-3.\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -228*i**3 - 32*i**2 + i - 1485. Let m(x) = -226*x**3 - 40*x**2 + 2*x - 1486. Let r(y) = -4*m(y) + 5*t(y). Differentiate r(o) wrt o.\nAnswer: -708*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 166\/3. Let c = 0.1 - 3.1. Let a = c + -1. Is a less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Let c(n) = n**2 + 890*n + 4. Determine v(c(h)).\nAnswer: 4*h**2 + 3560*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*s + 2*j*v**4 - j*v - 6*j - s*v**2 + 4*v wrt v.\nAnswer: 8*j*v**3 - j - 2*s*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17964\/7 or 0.46?\nAnswer: 17964\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.02199 + -0.02199. What is the closest to g in -4, -3, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 24. Let y(c) = c - 5*c + 6*c**2 + 5*c - 3*c**o + 3. Is y(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035635141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123142 + 1011?\nAnswer: 124203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21\/4, -5, 0.2, -2236?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2250 and 530250.\nAnswer: 1590750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + 5*n + 2. Let o be y(-3). Suppose -o*s = -0*s. Let m = 11 - s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984245219 to the power of 1\/3, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from 4981.\nAnswer: 4981.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -195 (b) 1\/4 (c) 4\/5 (d) -2 (e) 7 (f) -30 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162532753?\nAnswer: 162532753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-4)\/(-2) - -12. Suppose 0 = -15*w + h*w - 36. Let g = 20 + w. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - 2*c**3 + 13*c**2\/2 + 9*c + 2. Suppose -5*x + 5*m + 30 - 85 = 0, -43 = 5*x - m. Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32067, -4, 1 in descending order.\nAnswer: 32067, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 19. Let d be h(8). Suppose 0 = -3*y - 4*c + d, 2*c - 26 = -y - 3*y. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 469 + -469.00008972. What is v rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*s + 441*s - 216*s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4 + 2*c + 7 - 5*c. Let v be q(3). Let p be -3*1\/2*v. What is the highest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86110, 172123, 258068, 343945?\nAnswer: 429754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + 2) - (2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*n = 30*n - 2055300. Does 170 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -12 + 76 + (-9 - -5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745744 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -19. Let k = 15 - c. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1323 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -854, -0.5, 35?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*s**2*x**4 + s**2*x + 2*x**4 + x + 38 wrt x?\nAnswer: -240*s**2*x**2 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*((sqrt(112) + sqrt(112)*2)\/sqrt(7))\/(2*sqrt(392) + sqrt(392) + sqrt(392))*-4)**2.\nAnswer: 648\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*8\/160*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y - 1862148 + 1853468 = 0 for y.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22cb9 (base 15) to base 4.\nAnswer: 123010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127913929 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94041 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5633 divided by 1?\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 - 16*d**2 + 3*d + 5. Let r(x) = -22*x**3 + 48*x**2 - 10*x - 16. Let v(b) = 10*j(b) + 3*r(b). Differentiate v(h) wrt h.\nAnswer: 12*h**2 - 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:36 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71\/548 - -52\/137. Let t(w) be the first derivative of 0*w + 0*w**2 + 16 + i*w**4 + 1\/3*w**3. Find the third derivative of t(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 6223 - 6223 - 2*v. Let p(t) = 28*t**2 - 8*t. Let c(g) = 9*g**2 - 3*g. Let z(a) = 8*c(a) - 3*p(a). Determine z(d(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -23*y**3 - 23*y**3 + 47*y**3 - 3. Let i be q(2). Solve 0 = -i*v + 3 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241 - 243141?\nAnswer: -243141.0241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 5*q - 2. Let i be o(5). Does 2 divide 6\/(-1)*2\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 9*b**2 - 15*b + 79. Let z be u(-11). Solve -z*l + 5 = t + l, t + 10 = 2*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38025672 is divided by 341.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746153043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - v + 0*v + (-5 + 2 + 4)*(0*v + v - 3*v) + (-3*v - v - 3*v)*(1 + 2 - 4).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -5 in descending order.\nAnswer: 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2257? (a) 2\/9 (b) 3 (c) -10 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152235, -152233, -152231, -152229?\nAnswer: -152227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/3 + 10580*v\/3 + 868686 = 0.\nAnswer: -5031, -259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 252.8 + -253. Which is the closest to k? (a) 46 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(5\/(-6) + (-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a27986 + 0?\nAnswer: a27986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005067696 to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -29*s + 1. Let q(c) = -c**2 + 81*c - 379. Let y be q(76). What is i(y)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*x + 5*x - 31, 3*r - 29 = -5*x. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 70 - 2 = 15*m + 2*c, 0 = -3*m - 2*c - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 406. Let o = 268 - z. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - z - 7 + z**2 - 30*z**2 + 1.\nAnswer: -29*z**2 - z + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-612)\/459*(-99)\/(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -87\/7, 1\/2 in descending order.\nAnswer: 3, 1\/2, -0.3, -87\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14151 + 9623 + 29126 = -737*t - 20800 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 111. Let x = 1939 - 1962. What is u(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Suppose 3*j + 12 = 0, -4*j - 12 = 3*b + w. Is 1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**37*l**0*l*l*l**(-1\/5)*l**(1\/2)*l\/(l*l*l**(-1\/3))*(l**(-1\/3)*l)\/(l**3*l) assuming l is positive.\nAnswer: l**(-859\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -1\/8, 5, -24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.380795 kilometers?\nAnswer: 2380795000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2845 + 7505. What is q rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6, 1\/2, -6, -1\/36, -9, -3, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -14728920800559\nAnswer: -14728920800556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 1)*(o + 2*o - 5*o) - 5 + 2*o + 5 + 1 - 1 + 2*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52, -255, -806, -1879, -3648?\n\"Answer: -29*u**3 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6282 = 10*u + 2482. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16 + w**2 + 0 - 41*w + 32*w. Let o be x(7). Let j(t) = -21 + 21 + t**o. Let s(u) = -16*u**2. What is j(s(b))?\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -469788.1183 to the nearest ten.\nAnswer: -469790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2936 (b) -7 (c) 0.1 (d) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 27) + -78 + -55 + 83.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.7 and 132?\nAnswer: 2336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 10*v + 5. Let f be g(10). Suppose 6*d + 2 = 4*d + f*l, 0 = d + 4*l + 1. Which is smaller: -3\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263022534 divided by -3093\nAnswer: -85038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97533 < 97535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 69*i**2 - 126*i.\nAnswer: -3*i*(i + 2)*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -270 in ascending order.\nAnswer: -270, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2472525\/(-924))\/81 + 33?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/(-16544) + (-242)\/(-329)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - -221. Let s(o) = -4*o. Let a be s(-1). Is p\/a - (-1)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-3 + 1)*-1. Let r(p) = 5*p - 11. Let m be r(5). Let l = a + m. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*r - 11964 + 56039, -3*p = 3*r + 44091. Let t = p + 35975. What is t rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x + 28*x + 24*x. Is 1\/2147 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530.1 + -1.\nAnswer: 529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 111. Is c(5) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12558150 to the nearest 10000.\nAnswer: -12560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -20*m + 16. Suppose 0 = m*o + 63 + 17. What is the closest to 0.2 in o, -4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, 2\/17, -1\/12, 0.5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204 + -109 + 4 + (5 - 8) + (1 - 1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:28 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*b - 0 + 12, 9 = 2*i + 3*b. Let q(c) = -c - 6*c + i*c + 10*c. Let u(m) be the third derivative of -m**5\/60 + m**2. Calculate u(q(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -683, -2686, -6671, -13298, -23227, -37118?\nAnswer: -55631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14547\/16785 + 12\/(-15).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-114)\/228)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180414000 rounded to the nearest one hundred thousand?\nAnswer: 180400000","meta":{"dup_signals":{},"source":"numbers__round_number_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 w = -1080 + 1225. What is the remainder when 276 is divided by w?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-2) - 21\/(-7). Suppose -q + f = 2*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 19. Let p = -31463\/14 - -2240. Find the common denominator of (-5 - a) + 107\/12 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, 20, -66, 1 in descending order.\nAnswer: 24, 20, 1, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1753, -1.51, -2 in descending order.\nAnswer: 1753, -1.51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*z + 15*j**2*z + 2*j*z - 337*z wrt j?\nAnswer: -6*j**2*z + 30*j*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*5\/25 - 2706\/5. Which is smaller: -540 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 508348*b - 254183*b - 254165*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -60?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/7 - 585799*t\/7 + 585798\/7.\nAnswer: (t - 585798)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 - 12333*u - 34*u**2 + 12333*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65306, 65299, 65292, 65285, 65278, 65271?\nAnswer: 65264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6008397 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 758*l**2 - 12130*l + 17. What is a(16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r - 18908*r**3 - 23456*r**3 + 32*r.\nAnswer: -42364*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12.4965*-6.1\nAnswer: -76.22865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 96 = -5*b, -5*w - 2*b - b = -368. Suppose 2*u = -u + 48. What is the remainder when w is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - 153.4. Let i = 1.4 + u. Is i smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119800518 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*m + 2*n - 40, 4*n + 62 = 2*m. Suppose -7*w - 30 + 86 = 0. Calculate the remainder when m is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*1*sqrt(128) + 3 + sqrt(128) + 5 + -3*(sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) + (sqrt(128) - sqrt(128)*2)*-4) + 1)**2.\nAnswer: -5600*sqrt(2) + 80196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 + 45940*j**2 - 91900*j = 0 for j.\nAnswer: -9190, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**8\/56 + 4*d**6\/15 + d**4\/2 - 3*d + 3. Find the third derivative of m(w) wrt w.\nAnswer: -120*w**3 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**3 + l**2 - l. Let h be z(1). Let p be 60\/45*6\/4. Suppose -3*n + 5*c = -17, -p*c = -4*c - 2. What is the second smallest value in n, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aappaaapaaappapapaa. What is prob of sequence aaa?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -88. What is the common denominator of 10\/m*(4 + 22) and -6\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -603 divided by 1\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let x(m) = 74*m**2. Calculate t(x(n)).\nAnswer: 148*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -3)*-3 - (sqrt(7) + (-1 + sqrt(7))**2*-5)) + ((sqrt(14) - sqrt(56)\/sqrt(4))*4)\/(sqrt(4)\/sqrt(2)*3).\nAnswer: -14*sqrt(7) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75\/(-3)*54\/270. Sort 61, u, -1 in ascending order.\nAnswer: u, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5060 + 5062. Suppose 2*p - 5*b = 164, p - 81 = -4*b + 27. Suppose 5*k + l*t = 10*k - p, 3*k - 2*t = 56. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96 and -59.8?\nAnswer: -5740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 7314*d**3 + 110160*d**2 + 551550*d + 919875.\nAnswer: -3*(d - 2453)*(d + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 97146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1, -3, -372.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 68 - 3136*a - 18 - 12 - 18.\nAnswer: -3136*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 + 3*i - 6. Suppose -2*l - c + 21 = 2, 5*c - 15 = 0. Let j be l\/2*36\/(-24). Calculate r(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33b - -17?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*k - 20, k = -3*u + 2*u + 2. Let t = 5 - 3. Solve 0*i - 2*x = 3*i - 20, -20 = -t*i - u*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*j = -20, 322*f + 6*j - 52 = 320*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.02 - -0.02. What is the nearest to m in 0.2, -0.5, 4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 2. What is i(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.973 - 24. What is h rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/27 and -119\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 25 = -p. Suppose -p*t = -t - 46. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992900921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1872\/1092*245\/21\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 1029 + 483 = 1742. Let z = 38 + 15. Calculate the remainder when c is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330623834.\nAnswer: 2, 7, 11, 31, 44381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26491 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6793 - -16?\nAnswer: 6809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -30*c - 58. What is the hundreds digit of d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 3*k**2 - k. Suppose 3*j + 4 = -11, -2055 = -5*r - 4*j. Let c = 418 - r. Give b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 40. Let w be j(22). Suppose 4*g - 48 = 4*a, -3*g + 24 = g + w*a. Solve 2*p - 1 = -2*n + g, -7 = -3*p + 5*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 113*f**2 - 112*f + 14. Calculate v(112).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1823, 1964, 2203, 2540?\nAnswer: 2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 2772?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100092, 200158, 300224, 400290, 500356?\nAnswer: 600422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100010100 + -101?\nAnswer: 11010100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/1 + 77\/3. Suppose 6*a - 5*a = z. What is the biggest value in 4, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8975 - 8933. Solve 422*o - w = 416*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) 1\/2 (b) -1\/21 (c) -4 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 12, 2\/9, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-75)*-5*10)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7360 or 7357?\nAnswer: 7357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3069*b + 3246*b + 3357*b - 9002*b + 2*b**2 as m + q*b**2 + t*b and give t.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1002\/(-167)*(-28)\/(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -32*v + 7*v - 4 + 14*v + 9*v. Calculate x(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/209 and 49\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8690*c**3 + 4580*c**2.\nAnswer: 52140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.3 (b) -1 (c) 5\/6 (d) 0.2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257985 and 630.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 194920\nAnswer: -1\/38984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 8 + 3. Let m(g) = 10*g + 1. Let t(d) = -11*d - 2. Let n(q) = o*t(q) - 6*m(q). Is 6 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let p(o) be the first derivative of o**5\/60 + o**2\/2 + 3. Let r(t) be the second derivative of p(t). Calculate r(i(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111022110111000 (base 3) in base 14?\nAnswer: d22664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y + 12. Suppose -y*j + 7*j - 8 = 0. Which is the nearest to 3? (a) 0.4 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 36*b**2 + 11*b. Let i(s) = 3*s**2 + 0*s - 9*s + 4*s**2 + 11*s. Calculate -2*d(w) + 11*i(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 16 = -2*j, -1029 = 3*j - 10*t - 988 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by (21\/(-42))\/(3\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/((-4)\/30). Suppose x*g + 4 = 2*g. Is 211 - (-3 - (-4 - g)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 - 570\/(-75). Suppose -y*s + 4*s = 0. Suppose -k + 6 = m + 4, -k - 3*m = s. Solve -k*h - h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 979, 963, 943, 919, 891, 859?\n\"Answer: -2*s**2 - 10*s + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837830 a multiple of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12739 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - k - 24, 5*s - 32 = 4*s + 5*k. Let w = 6655 - 6651. Find the second derivative of 9*d**4 + 18*d + 29*d**4 - s*d**w wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 429, 1553, 3433, 6075, 9485?\n\"Answer: y**3 + 372*y**2 + y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*o + 9. Calculate the common denominator of -37\/2 and (o + -70)*(-2)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/259 in 0.5, 2\/41, -2\/37, -5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*c + 97*c + 545 = 0. What is the fourth biggest value in -2\/17, c, -14, -1.7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*j**2*x - 218*x wrt j?\nAnswer: -80*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 2}. Give prob of sequence fdf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(-12\/13))**(15\/2)*((t*t*t*t*t\/((t\/t**(2\/5)*t)\/t)*t*t)\/t*t**6)\/(t**(-1))**(-32) assuming t is positive.\nAnswer: t**(-1249\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*j + 3626 = -5073, -x = -4*j - 1727. List the prime factors of x.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*f - 29, 3*f - f = -5*r. Put r, 2, 0.09 in descending order.\nAnswer: 2, 0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 8*t - 9. Let m be a(2). Let c = -29.034 + 29. Which is greater: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14.76, 0.39, 0.06 in ascending order.\nAnswer: -14.76, 0.06, 0.39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(24)\/(sqrt(3) + sqrt(9)\/sqrt(3) - sqrt(3))) + sqrt(18)\/((sqrt(9) + sqrt(144))*6))**2.\nAnswer: 961\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -7 in increasing order.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/11 and -76\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 106.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4648 - 4*a**2 - 9289 + 26*a + 4641. Let k(h) = 2*h**2. Determine k(q(c)).\nAnswer: 32*c**4 - 416*c**3 + 1352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96835 and 2140?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 471\/35 in -1, -2\/3, -4, -145, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 5\/18*a**3 + 5 + 1\/20*a**5 + a + 7\/36*a**4 + 1\/6*a**2. Solve v(k) = 0 for k.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-26 + -8 + 40 + 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5588 and 5654?\nAnswer: 1436116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 157992 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307 + 1094. Let m = -1652 + 2936. Let d = m - q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5477 (base 8) to base 13\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -82. Let d(l) = 39*l + 11. Is d(x) 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 860752*x**5*z**3 - 4*x**4 + 18*x**2*z**3 + 2*x**2*z**2 - 2*z**3 + 1176*z + 3 wrt x?\nAnswer: 51645120*x**2*z**3 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 3987?\nAnswer: -3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvnxe. Give prob of sequence ev.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5)\/f*f**6)\/(f*f\/f**(2\/9))**(-40) assuming f is positive.\nAnswer: f**(739\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62784 to 3 decimal places.\nAnswer: -0.628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*z**6 + 8*z**2 - 4 wrt z.\nAnswer: 9480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, 50, -1.\nAnswer: -1, 3, 25, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 3\/13 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587\/440 - -262457\/3960. Let h = f + -395\/6. Factor -h*g**3 - 8\/9*g + 4*g**2 + 0.\nAnswer: -4*g*(g - 2)*(4*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -112 - 84. Calculate the highest common factor of 147 and h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-207)\/(-92) + (-6)\/(-8). Suppose 145 = 5*x + k*m, 0*m = -4*x + 4*m + 148. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + 75\/108. Let o = 1643 - 1636. Which is the second biggest value? (a) -0.1 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 + 6 = 4*n, -3*z + 2*n + 26 = 0. Let y be (-20)\/5*(-14)\/z. Solve 2*a + 30 = y*a + 3*j, 0 = 5*a - j - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 + -141. Let s = 41 - f. Suppose -5*b = -2*c - 42, 4*b + 7 = c + 25. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.066 + -10.534. Let d = 10.5 + s. Which is the nearest to d? (a) 1 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 + 280. Let b = -1157\/11 + m. Let z = 3 + 1. Sort 0, b, z in ascending order.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 711 - 706. Solve -11*y = -f*y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**4\/12 - k**3\/6 - 4*k**2 + 7. Let q = 3 - 0. Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*339930\/(-15108).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14187\/8 - 1773. Let h = 1\/38 + -47\/342. What is the closest to 0 in h, o, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 5. Let b = -546 - -544. Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-39)\/2) - (-100)\/26. Solve -14 = -v + n*w, w - 19 = -2*v + 6*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11c - -6bf0?\nAnswer: 6ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 - a - 8. Let n be k(-7). Let g = -29 + 56. Let v = g + n. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 15. Calculate t(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 538815455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15208\/9 < 1691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.269729cm to nanometers.\nAnswer: 72697290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -126, -139, -120, -69?\n\"Answer: 16*a**2 - 93*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/152)\/((-324)\/48)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823*u + 9305 = -52677 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 2:47 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944006 is divided by 331?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 f when four letters picked without replacement from pffpppfppfpf.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 3. Let i(c) = -3*c + 3. Let o(z) = -2*i(z) + 2*x(z). Let l(d) = -186*d**2. Determine o(l(m)).\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1361, 0.1 in ascending order.\nAnswer: -1\/5, 0.1, 1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + (-2)\/(-6). What is the nearest to h in 1\/4, 0, -0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j. Suppose j = -4*k - k, 2*k + 90 = 5*v. Suppose 0 = 5*f + c - 264, -2*c - c = 3. What is the remainder when f is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.29 + -0.36. Let o = -10.975 + 9.975. Which is the closest to o? (a) 5 (b) 0.3 (c) -1\/8 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from cgccrcoogccccc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*v + 564 - 536, -j + 20 = -4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4309457 is divided by 1436478.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 - 1300*b\/3 - 27200.\nAnswer: -4*(b + 85)*(b + 240)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17608*c**2. Let z(w) = 11*w**2 - 7*w + 42. Let y(l) = -3*l**2 + 2*l - 12. Let b(k) = 14*y(k) + 4*z(k). Determine b(n(s)).\nAnswer: 620083328*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9867*f - 9431*f + 37939*f.\nAnswer: 38375*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 - 10542135?\nAnswer: -10541500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/7))\/a)\/(a\/a**4))**(-1\/23)*a**(-7)\/(a*a**1)*(a*a\/((a**(-5\/2)*a)\/a))\/((a**(-5)*a*a)\/a) assuming a is positive.\nAnswer: a**(-205\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4\/5 (c) 45.3 (d) 0 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*i**2 - 36?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1472 + -69181\/47. Let a = i - -73\/329. What is the nearest to a in 1, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, -2\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -11 - 3. Suppose 0 = q + 3*q + 24. Let s(p) = -p**3 - 6*p**2 + p + 8. Let j be s(q). Solve m = l + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 7*n + 1)*(1 + 1 + 0 + (1 - 1 - 1)*(2 - 4 + 1) + 2 - 6 + 3).\nAnswer: -16*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -3, -12, 0, -1 in ascending order.\nAnswer: -12, -3, -1, 0, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - -11250181.72945.\nAnswer: 11250133.72945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -93. Let j be -4 - (-1 - z\/21). Suppose 0 = -4*o + 19 - 35. Put 4, o, j in descending order.\nAnswer: 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 4*b**2 + 14*b - 3. Suppose r - 33 = -5*n, 4*n + 0*r = -2*r + 30. Let t be v(n). Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*r + 1, c + 0 = -2*r + 7. Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1492078201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15459497180 and -0.2.\nAnswer: -15459497180.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-2652) - (-840)\/(-10400).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 2.93?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/24 - 7*r**3\/6 - 16*r**2. Let y(f) = 7*f - 28. Let l be y(3). Determine h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1377) - (sqrt(1377) + 0))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, -99, -3, 2, 3\/13, 17 in descending order.\nAnswer: 17, 2, 1, 0.3, 3\/13, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (0 - 1). Suppose 3*a - d*h = 21 + 6, 15 = -3*h. Solve -20 = -t - a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*((-1*sqrt(76) - sqrt(76))*2 + 4*sqrt(76)*-1))\/((sqrt(28) - (sqrt(28) + sqrt(252))*-1)\/(-6*-1*sqrt(7) + sqrt(7))))**2.\nAnswer: 238336\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h**2 + 1211*h + 627. Calculate b(-120).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 19 - 3 + m**3 + 0 + 5*m**3 wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39949112 by -223.\nAnswer: -179144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81774 and 1089?\nAnswer: 899514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:46 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 + 9\/2*b**2 - 4\/3*b**3 - 14*b. Differentiate q(j) with respect to j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5922208.\nAnswer: 2, 185069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1758635, -1758637, -1758641, -1758647, -1758655, -1758665, -1758677?\n\"Answer: -v**2 + v - 1758635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 11) to base 6.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 7. Let x be w(-8). Suppose -64 = -x*r + 13*r. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q**2 + q - 3. Let x be n(9). Suppose -x*u + 5500000 = -u. Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -144*b + 1428. Give s(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73631*z - 2976 = -73569*z for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1))**(4\/9)\/((n**(-18)\/n)\/n**12) assuming n is positive.\nAnswer: n**(283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(-8))*u)**30 assuming u is positive.\nAnswer: u**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96388.49nm in meters?\nAnswer: 0.00009638849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 3. Let u be c(-5). Suppose -u*g = -13*g + 5. Solve 0*i = -i - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -552\/5*b - 562 + 2\/5*b**2.\nAnswer: 2*(b - 281)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6873987*c**4 + 3*c**2 + 48*c - 2?\nAnswer: 164975688*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 72 (c) 106 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114305, 114227, 114151, 114077, 114005, 113935, 113867?\n\"Answer: y**2 - 81*y + 114385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-24 - -27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/30 + (-30)\/150\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, 177, 682, 1671, 3306, 5749, 9162?\n\"Answer: 27*z**3 - z**2 - 3*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/184 and 63\/20.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 10*o**2 - 13*o - 8. Give a(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n - 59*n + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let h = 2.1 - 5.1. Let j = h - q. What is the third biggest value in -2\/13, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*u**4 + 2*u**3 - 6678*u**2 - 47076*u - 451?\nAnswer: 408*u**2 + 12*u - 13356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*-1 + -4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94379 + -49095. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(5\/2) assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3866830.14 rounded to the nearest 1000?\nAnswer: -3867000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 200480 in descending order.\nAnswer: 200480, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208674 and 27.\nAnswer: 626022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 446470396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547*o + 20 = -543*o. Let v be 4 + 4 + 4\/(-4) - o. Solve -2*c - v*h = -10, 0*h - 15 = -3*c + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3.1 (b) -6 (c) 0.41 (d) 0.6 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-11 - -15)) + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (21*(-518)\/105 - 1*-3)*-1415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1086*v**2 + 3534*v**2 + 4420*v**2. Let d(z) = -z. Calculate d(y(a)).\nAnswer: -6868*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078 = 40*v - 33*v. Let k = v + -150. Solve 3*r = 3*b - 18, r + k = -b - 0*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 37. Let y be d(11). What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111182.\nAnswer: 2, 23, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49937 is divided by 2490.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*k + 7 = -6*n, 0 = 5*n + 5*k. Let z be -477 + -4 - 1\/((-7)\/(-14)). Let q be n*2\/13 + z\/(-13). What is the greatest common divisor of 333 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.83 - 0.6. Let y = -0.13 + r. Which is the nearest to -1? (a) 5 (b) -2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:55 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:37 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*(-2)\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:37 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(o**2 + 2 - 2) + (-o**2 + o - o)*(0 + 1 + 2) + (4*o + 33 - 33)*(-10*o + 12 - 12) to q*o**2 + f*o + s and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 119 + 123. Is 116 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22265 and 132349.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/11)\/((r\/(r**(-4\/25)\/r))\/r))\/(((r\/(r**(-15)*r))\/r)\/(r**(12\/11)*r)) assuming r is positive.\nAnswer: r**(-3569\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = t + 607, 3*w - 1817 = 3*t - 2*w. Let v = 359 + t. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 2, s: 1}. What is prob of sequence tst?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-803)\/264 + 3). Let f(c) be the third derivative of 0 - 6*c**2 + 1\/6*c**3 + l*c**4 + 0*c. Give f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -3 - -7 - (-9 - -1). What is the greatest common factor of r and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {m: 2, h: 2, f: 5, i: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7670\/25 + 4\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a factor of 33408993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*q - 3. Let r(b) = 2*b**2 + b**2 + 4*b**3 - 4*b + q - 6*b**2 - 3*b**3. Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + 1.1. Let h = -8 + -1. Let j = -10 - h. Which is the biggest value? (a) q (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 5 + (5*(sqrt(18) - (sqrt(18) + -1)*-6))**2 + (4*sqrt(108)\/(sqrt(6)*2))**2 + 4).\nAnswer: -31500*sqrt(2) + 115150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307 + -955. Let v = l - -651. Solve -2*r + 5*f = -7, -3*r - 3 = -v*f - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*t - 10*t + 20, -5*t = 4*f - 20. Suppose f = -3*p + 4*a + 93 - 11, 3*a + 56 = 2*p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*27\/(-474). Let t = y - -2659\/711. Calculate the common denominator of t and (-10)\/9*84\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4 - 14 = 0. Put 2, f, 4, -5 in descending order.\nAnswer: 4, f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.1 + -45.1. Let j = -1.15 + -62.85. Let h = -64 - j. Put -1, -2, h, t in descending order.\nAnswer: t, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1112 and 6660463.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1770 and 123?\nAnswer: 72570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3 = 5*i. Let j = -42 + 49. Sort j, i, -5.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001 + 111011011010101?\nAnswer: 111011001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23167 and 0.286.\nAnswer: 0.06625762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/7)\/o*o))**0*((o*o**(-6))\/o*o)\/(o\/(o*o\/(o**(-2\/5)*o))) assuming o is positive.\nAnswer: o**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.200242 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -74. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:57 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 = -3*o, 0 = 15*o - 16*o - 3*j - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/792 and 25\/396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1147)\/(-124))\/(-37)*(-2)\/(-6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f**3 + 18*f**2 + 4*f - 8. Let p(r) = 39*r**3 - 35*r**2 - 7*r + 14. Calculate 7*a(b) + 4*p(b).\nAnswer: -5*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/2)\/((-21150)\/28200)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962 and 545923937.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19320123, 38640254, 57960391, 77280534, 96600683?\nAnswer: 115920838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let w(o) = -3 + 61*o**2 - o - 1 + 4. Is w(h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225124278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 0.3537.\nAnswer: 0.3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 57*f**2 - 104*f**2 - 224*f**2.\nAnswer: -251*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -339631916 divided by -40442\nAnswer: 8398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8978*j**5 + 108272*j**4 + 6440*j**3 + 96*j**2.\nAnswer: 2*j**2*(j + 12)*(67*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 181. Let k = -127 + y. Which is the nearest to k? (a) -4 (b) -2 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:53 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 24 = 2*q, 2*d - 5*d - 12 = 0. Suppose 2*h = 3*z - 116, -4*z - 4*h = -185 - 3. What is the smallest common multiple of 7\/z + (-83)\/(-12)*q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276133.6um in millimeters?\nAnswer: 276.1336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**3\/3 + 4*u - 4. Let b be z(0). What is the third derivative of 3*h**5 - 4*h**5 - b*h + 4*h + 13*h**2 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3706798 - -11565209599\/3120. Find the common denominator of -5\/1872 and d.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = -3*w. Solve -4*a + 4 = -w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317487 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -7 + 0 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 11626775?\nAnswer: 11626775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93, 173, 243, 297, 329?\n\"Answer: -r**3 + r**2 + 84*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-9)\/(180\/5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i**3 + 69*i - 145*i + 76*i + (i**2 - 6*i**2 + 3*i**2)*(-3 + 3 + i) as d*i**3 + x*i**2 + v*i + b and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 1408. Let g = -141 - a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -29 + 4. Let r(n) = -2 + 14 - 21 + 13*n - 12. What is the tens digit of r(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 - 1183\/65) + (-2)\/(-10)*1. Let y(d) = -1. Let n(w) = -w**2 + 10*w. Let g(s) = n(s) + 5*y(s). What is the remainder when g(o) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264924315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28389012 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: Sort 5, 0, 0.547, 1337, 1\/8, -3\/4.\nAnswer: -3\/4, 0, 1\/8, 0.547, 5, 1337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*w - 84*w + 6*w**2 + 29*w**2 - 17*w**2 + 125*w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -204.90206 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2680, 5244, 7794, 10324, 12828, 15300?\nAnswer: 17734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 10*n - 6*n. Suppose 5*m + 5*g = 45, 0*g + n = m + 2*g. Suppose 4*u = -t + 68, u - m = -5*t + 11. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -20.7. What is the closest to -0.2 in a, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Suppose 3*o + 126 = 5*z, -2*o + 0*o + 114 = m*z. Let i = z + 10. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (2\/6 + 4241\/3). Let f = d - -5243. Suppose -5*u = -n - 3*n + 3088, f = 5*n + u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) -0.1 (c) -40 (d) 2\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*r + 2 = 3, 8 = -4*p - 2*r. Let w be 6\/p*1 + 2. Let q = 3 + w. Solve 0 = -2*x - x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 3*m - 1. Let l be p(2). Let x = l - -1. What is the remainder when 17 is divided by x - (1 + -2) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.06, -1, -0.5, -420, 0.006, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.9688 - -0.0412. Let c = -45.98 + q. Let w = -0.53 + c. Round w to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**4 - 3. Let f(u) = -501*u**4 - 1983*u - 18. Let t(x) = -3*f(x) + 18*o(x). What is the second derivative of t(s) wrt s?\nAnswer: 18468*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*y**3 + 12*y**2 - 23*y**2 + 11*y**2 + 119*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p + 359*p = 846 + 1332 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 + 122. Let f = a + 354.000317. What is f rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15270.\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 35. Let h(c) = 3*c + 45. Let z(i) = -5*i - 54. Let b(w) = 6*h(w) + 5*z(w). What is b(o(y))?\nAnswer: -7*y + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/26? (a) -3\/31 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 5742.\nAnswer: 17226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - j = -3292 + 3308, j + 32 = 8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 + 12*t**2 + 2*t + 3. Let b(n) = -n**3 - n. Let o(g) = -4*b(g) + r(g). What are the prime factors of o(6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -15)*((-6)\/6)\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*s + 1273 + 4687 = 1249*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t*(((t*t**(1\/5))\/t)\/t)\/t)*t)\/t)**(3\/13))**(-6\/19))**14)**37 assuming t is positive.\nAnswer: t**(-83916\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17954 + -17773. Solve -61*g + 59 = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*r - 1032 = 0, 3*q - 5*r = 5*q - 428. Suppose -3*v = -6, -3*j - v = -4*v - q. Calculate the remainder when 131 is divided by j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 3*n**3 - 6*n**2 - 25 + n**2 - 23 - 7*n + 44. Give q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37006 greater than -35951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*4\/(-6))\/1*100\/(-40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1298359737*y**5 - 10655511*y**2 - 30*y - 2.\nAnswer: -77901584220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -2)*13\/13. Sort -92, -4, 1, x.\nAnswer: -92, -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 8*h - 10. Let j be l(-6). What is the third derivative of 22*b**3 - b**2 - 2*b**2 - 8*b**j - 11*b**2 wrt b?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/29757 and -53\/100716.\nAnswer: 1309308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209690 rounded to the nearest 10000?\nAnswer: 4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.819 - 0.181. Let q = -13890255020.00000069 + 13890255092. Let m = q + b. Round m to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 - 2*n**2 - 2*n + 1. Let t(i) = 6*i**3 + 10*i**2 + 30*i + 1005. Let h(q) = -5*a(q) - t(q). What is the first derivative of h(b) wrt b?\nAnswer: -123*b**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 - 5*f + 2. Let y be m(5). Suppose y + 71 = 4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**6\/120 + v**4\/12 + 2*v**2 + 6*v. Let h(j) be the first derivative of w(j). Find the second derivative of h(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)\/(g*g**(1\/2)))**(-18)\/(((g*(g**(-6)*g)\/g)\/g**(-1\/3))\/(g**(-2\/5)*g)**(1\/10)) assuming g is positive.\nAnswer: g**(-641\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 48336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -3*i - 77 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 70198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 + 0*d**3 - 6*d**3)*(-6 + 3 + 2) + (-4*d**2 + 0*d**2 + 2*d**2)*(3*d - 1 + 1) to a*d + t*d**2 + n + p*d**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-3*a**5 + a**5 + a**5) + (3 - 29*a**3 - 3)*(a**2 + a**2 - 7*a**2).\nAnswer: 144*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628204 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - -0.1. Let l = 6 + c. What is the second biggest value in l, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 + -30. Calculate the highest common factor of 59 and g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - u**3 + 0)*(17037 + 3394 + 7515 + 12826) in the form x*u**3 + w + t*u + n*u**2 and give x.\nAnswer: -40772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 70*j + 77*j + 73*j + 5*j**3 - 17*j**3 - 298*j + 74*j.\nAnswer: -12*j**3 - 4*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5312326 * -7.\nAnswer: -37186282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b - 2334 = -1008 + 1138 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*l + 7770*l**3 - 1 + 0 - 7768*l**3 as v*l + z + g*l**3 + a*l**2 and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + 7*v)*(0*v**2 + 2*v**2 - 3*v**2) + 2*v**3 + 0*v**3 - 4*v**3 in the form q*v**3 + k*v**2 + p + r*v and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j + 5*s, s + 1 = -5*j + j. Let n = -0.7 + 0.4. Which is the nearest to n? (a) 7 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790243?\nAnswer: 17, 43, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2*(8 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5076*u = 5079*u + 3*h + 60, 4*h + 102 = -5*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042105 (base 6) in base 5?\nAnswer: -3133223","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -3659098.25 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let g(s) = s**3 - 12*s**2 - 12*s - 5. Let u be g(13). Let r(n) = -17*n - 20*n + u*n. Give q(r(z)).\nAnswer: 3364*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + n = -19, 51*l = 54*l + 3*n + 3. Solve 0 = -q + 3*y + y + 3, 0 = l*y + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**6\/60 + 3*z**5\/40 + 2*z. Determine u so that g(u) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.2, -6, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 781*d**2 + 1381*d**2 + 218*d**2 in the form n*d**2 + v + f*d and give n.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - v)*(-3*v - 3*v - 2*v) + 87 - 87 + 6*v**2 - 8*v**2 - v**2 - 13*v**2.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46 (b) -5 (c) 1 (d) 128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -6*s - 73. Let q(m) be the second derivative of -m**4\/6 - 22*m**3\/3 - 24*m. Let h be q(-21). What is the greatest common factor of s and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 1742?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 + (-247)\/(-38)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364241, -2728478, -4092713, -5456946, -6821177, -8185406, -9549633?\nAnswer: -10913858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u + 2*u**3 + 1 + u**3 + 17*u - 9*u in the form v + p*u**2 + s*u + z*u**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2 - sqrt(931))*6*5 - ((2*-1*sqrt(228))\/(-2*sqrt(300)))**2.\nAnswer: -1519\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2335410 and -103\/2075920?\nAnswer: 18683280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15962433 - -15962431.2000057. Let s = w + 1.8. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 - 1 - 1 + 2.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -411 (b) 7\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 1261*u - 94088. What is m(-485)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + r - 69 = 21 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.6 (b) -2 (c) -147341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4 (c) 2.711 (d) -0.5 (e) 1 (f) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121) + sqrt(121) + sqrt(121) - sqrt(121))*3)\/sqrt(11).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8169585 and -1343?\nAnswer: 8168242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112223 - -10?\nAnswer: 112233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327\/5 - -65. Which is the third smallest value? (a) -4\/9 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 22, 5\/4 in increasing order.\nAnswer: 5\/4, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26800 and 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**22*z**(-8)\/z)\/((z**21\/z*z)\/(z*z**0*z)) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -158*i + 2617. What is the thousands digit of c(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:11 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, -9, -205?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 2*k**2 - 2*k + 1. Let x be g(1). Let j = -129 - -73. Let t = j + 51. Sort x, -1, t in increasing order.\nAnswer: t, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11478*i - 11443*i + 34380*i - 11490*i.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 8116*u**2 - 9247*u**2 - 2728*u**2 + 4502*u**2.\nAnswer: -15589*u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3861 greater than -3812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3101*s**6\/30 + 7*s**5\/30 - s**4\/4 - 28*s**2. Let b be k(8). Round b to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxkeikdi. Give prob of picking 1 v and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0 + 4\/105*a**7 - 1\/8*a**4 - 1\/15*a**6 + a**2 + 35*a - 13\/3*a**3 + 0*a**5. Find the second derivative of m(o) wrt o.\nAnswer: 96*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80 + -2ac1?\nAnswer: -2b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-7)\/(-3)) - 403\/(-7). Let d = -25 + w. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 2*n. Suppose -15 = 3*s - 6*s. Suppose 25 = s*u + 35. Put n, -3, u in descending order.\nAnswer: n, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/102 + 3*o**3\/17 + 14*o**2\/17 - 103*o. Factor d(c).\nAnswer: 2*(c + 2)*(c + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*y + 170*y - 333*y + 70)*(-y + 2*y - 4*y).\nAnswer: -15*y**2 - 210*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2405 - 1628. What is the greatest common factor of 42 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 3*j - 1. Let r(s) = -s**2 - s + 1. Let p be (9 - (10 + -3))*1. Determine p*q(v) + 6*r(v).\nAnswer: 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 32*j**2\/7 - 146*j\/7 - 180\/7.\nAnswer: -2*(j + 2)*(j + 5)*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 237 - 127. Let w(n) = -n**3 + 3*n**2 + 3*n. Let b be w(3). Let a be (3\/b - 1)*-15. Calculate the greatest common divisor of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7537647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-156)\/(-18))*2*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25301, 25199, 25015, 24707, 24233, 23551, 22619?\n\"Answer: -7*u**3 + u**2 - 56*u + 25363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2077613510 to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257516?\nAnswer: 2, 7, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 134978 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/4 + -2 + -1. Sort o, 0, -658.\nAnswer: -658, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -763 by -1028.\nAnswer: 763\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*z + 22, 0 = -5*o - 5*z + 7 + 3. Let u = 3.89 - 0.89. Let k = -3.1 - -0.1. What is the smallest value in k, u, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/13201 and 35\/641016.\nAnswer: 27563688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9222 - -276527\/30. What is the common denominator of g and -49\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (480\/24)\/(-40)*(-22)\/(-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243273101\/18485088380 + -7\/1126796. Let x = 2\/193 - k. Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -182. Is x at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14168 is divided by 225?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 13*x**5\/60 + x**4\/8 + x**3\/2 - 9113*x**2. Determine u(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775900?\nAnswer: 2, 5, 7, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 8\/63813, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -4*y + 2*u - 0*u, 355 = 5*y - 4*u. Suppose 0 = 3*a - 2*v - 181, -a + 4*v + y = 5*v. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -603, -597, -589, -579, -567, -553?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10)*(3207 - (3 - 2)). What is h rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28535401 (base 9) in base 3?\nAnswer: 222121012110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49453 by 6.\nAnswer: -49453\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 1, a: 2}. Give prob of picking 2 k, 1 x, and 1 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.037 + -0.925. Let j = p + 0.028. What is j rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.37 (b) 0.092578 (c) 4 (d) 6 (e) -0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1162.489 + -1163. Let v = j + 0.011. What is the closest to 1 in 0.01, v, 12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25))\/(5\/(-30)*-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/293 - 1045\/68269. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2724825 and 101\/139140.\nAnswer: 32697900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r\/(r*r*(r\/(r**(6\/11)*r))\/r*r*r*r))\/r)\/r*r*r\/r**9)**(3\/29)*((r\/(r**(-2)\/r*r))\/r)**(-12)*((r**(-2\/11)*r)\/r)\/r*r**(1\/4)*r*r assuming r is positive.\nAnswer: r**(-30641\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4212767.\nAnswer: -12638301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:04 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + 2*f**3 + 39*f + 2*f**4 - 39*f - 2 + 2*f**2 to the form x*f**2 + c*f**3 + n*f**4 + o + q*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5739 by -26.\nAnswer: -5739\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 3*g + 3*g)*(-3*g**2 + g**2 + 0*g**2) + (-g**2 - 3*g**2 + g**2)*(-4 + 4 - 3*g) as j + h*g + q*g**3 + o*g**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*114\/1140*3\/(-9)*-55?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruaa. Give prob of picking 1 r and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*q = -28, 5*u = q + 4*q - 45. Let w = 10 - 4. Let r = w + u. Solve r*z = -z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3061 - -3059. What is the closest to z in 0.5, 3, 2\/7, -19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 2. Let z(r) = 3*r - 2. Let t(a) = -4*u(a) + 5*z(a). Let c(i) = 8*i - 1. Let f(m) = -3*c(m) + 4*t(m). Let n be f(5). Solve -p + n = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 6*i + 5*i)*(-141 + 5*i**3 - 53 + 69).\nAnswer: -10*i**4 + 250*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - (-9)\/7. Let n(x) = -1008*x + 10084. Let y be n(10). Calculate the greatest common factor of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -32980151474.37.\nAnswer: -32980151526.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 2*p + 7*p + 12*p to q + z*p and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1765660 by -13.\nAnswer: -135820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 431797505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.024 - -2.1. Let j = t - 3.176. What is j rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45591 and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19637, 39984, 60331, 80678?\n\"Answer: 20347*u - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180837080741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2550\/20)*(-5)\/1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35837402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = s - 5*h, -54*h = -49*h - 10 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxxxsixd. Give prob of sequence is.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36 and 67\/2954907.\nAnswer: 11819628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x**3 + 2*x**2 - 1. Is 20 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000218435 to 6 decimal places.\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 81, 111, 141, 171?\n\"Answer: 30*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-175)\/(-10))\/(133\/(-190)*-1)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i - 1800. Suppose -2 + 14 = 2*a. Find the common denominator of -10\/7 and (-4)\/a - 1430\/i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(882) + (sqrt(882) - 2*sqrt(882))))\/(sqrt(864) - (sqrt(864)*-1*4 - sqrt(864))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9)*-3 - -2. Calculate the remainder when 31 is divided by 6 + -1 - (-1 + t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5665041, 5664993, 5664945?\nAnswer: 5664897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 973*b**2 - 9280*b - 1252524.\nAnswer: -(b - 962)*(b - 42)*(b + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 5 + -4 - (-14)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**4 - 2*k**3 - 5*k**2 - 3*k - 5 - 12*k**4 + 5*k**2 to the form c*k**3 + v*k**2 + d + p*k + u*k**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggfgffggggffgfgfgfg. Give prob of sequence gf.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 + 822 = 53*h - 1220. What is the remainder when 682 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -71, -145, -249, -383, -547?\n\"Answer: -15*n**2 + n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3367*a**2*w - 35*a**2*x**4 - 19*a*w**2*x**2 - 15*w**2 wrt x.\nAnswer: -140*a**2*x**3 - 38*a*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2. Suppose 0 = -20*l + 26*l - 30. Let t(a) = 5*a**2. Calculate l*t(o) + 4*m(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728 and 2506.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f - 43*f + 5456 - 5437 - 47*f.\nAnswer: 2*f + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-452 - 61)*(-22)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.59919791 to three dps.\nAnswer: 9.599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33120 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 0*q + (q - 6*q + 4*q)*(-1 + 0 - 1) + (2 + 0 + 0)*(q - 3*q + q) - 2*q + 0*q + q - 1 + 1 - 2*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1755 and 139581.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 854 - 810. What is the highest common divisor of l and 2332?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c = -3*i, 3*c - 3*i = -24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14490 + 31063. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 2*t**2 - t**2 + (2*t - 3 + 3)*(-2 - 2*t + 2) - 1 - 3 - 341*t**2 - 1343*t**2 + 153*t**2.\nAnswer: -1533*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5365937cm in millimeters?\nAnswer: 5.365937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*w - 18122, -28*w = -32*w - 20. Which is smaller: a or 6045?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 728*h + 6635. What is t(9)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23540 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/10)*a*a**(-7\/3)\/a assuming a is positive.\nAnswer: a**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 4*g - 2*g + 0*g in the form a*g + n and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 10:44 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b37 - -178a8?\nAnswer: 16971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((((g\/g**(-4\/7))\/g)\/g*g)\/g)))**(-2\/19) assuming g is positive.\nAnswer: g**(6\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6374, -4, 4 in descending order.\nAnswer: 4, -4, -6374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.0884773 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8059 + 13862. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 9*i + 9. Let t(j) = -3*j**2 - 5*j**2 + 4*j - j**2 + 7*j**2 - j**2 + 4. Suppose 20 = 2*r + 2*r. Give r*t(p) - 2*v(p).\nAnswer: -5*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18140046, 36280101, 54420158, 72560217?\n\"Answer: y**2 + 18140052*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5918191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/14)\/(g*g\/(g\/(g**(-15)\/g))) assuming g is positive.\nAnswer: g**(213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 3*d**3 - 4*d**3 + (-2 + 0 + 1)*(d**3 - 2*d**3 + 0*d**3) - 36*d**3 - 38*d**3 + 73*d**3 - 19 + 19 + d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(3 + sqrt(2) + 0).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j + 57*j + 12 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.6. Let q = 1 - i. Sort -4, q, 3.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-405) - (-62)\/15. Solve p = -u*r - 15, 4*r - 6*r = -3*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -57*i + 1. Let h be s(1). Let m be (-96)\/h + (0 - 2). Let t = 4 + -4. Is t greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.3*0.3.\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + -6. Suppose 3*k - 5*o + o = 128, -4*o - 224 = -5*k. Let z be (6\/76)\/(36\/k). Which is the third biggest value? (a) z (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f*f**(21\/2)*f)))*f**32)**(-10))**(-16\/7) assuming f is positive.\nAnswer: f**(3280\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 271 and 17344?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**3 - 2 + 76*b**2 + 4*b - 4*b**3 - 56*b**2 - 18 = 0. What is b?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-4) - (-377)\/58.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 101 + -104 - ((-34)\/5)\/2. Let t = -5 + 3. Which is the third smallest value? (a) -0.3 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -16, 1701, 4 in ascending order.\nAnswer: -16, -3, 3, 4, 1701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51.8 and 0.479.\nAnswer: -24.8122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-14\/3)*o*o*o*o**(-3\/7)\/o)\/(o*o*o**(-1\/35)*o**(1\/5)))**(-4\/13) assuming o is positive.\nAnswer: o**(-304\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 510.91kg?\nAnswer: 510910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/7))**45)**(-35\/2) assuming j is positive.\nAnswer: j**(-1125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11652 - 43*j**2 - 11652)*(12*j + 3*j - 8*j + 2).\nAnswer: -301*j**3 - 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 280 = -11*s. Calculate the highest common divisor of 320 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-15)\/r*r)*r)**(1\/12))**23 assuming r is positive.\nAnswer: r**(391\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103\/565 + -2\/113. Let g = -1\/60 + 43\/180. What is the closest to 1 in g, 0, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*k - 360, -288 = 5*j - 4*k + 193. Let o = j - -180. Suppose -5*d + 2*d = -o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 15. Let a be y(-4). Suppose 0 = 5*j - 4*o - 451, 5*j + 5*o - 2*o = 423. Calculate the remainder when -1 + j - (-8 + a) is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16999.4754 nanoseconds?\nAnswer: 0.0000000001967531875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 1}. What is prob of picking 1 i and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21292519?\nAnswer: 21292519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 3*z**2 + 2*z + 1. Let a(l) = -6*l + 137. Let h be a(23). Determine u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 171*a + 1552 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1853*k**2. Let h(v) = -v. Calculate u(h(p)).\nAnswer: -1853*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11650, -23462, -35268, -47068, -58862, -70650?\n\"Answer: 3*n**2 - 11821*n + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuyukwyouwwwoywyw. What is prob of sequence wyo?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -954*w**2 - 53*w. Let j(y) = 53*y**2 + 3*y. Let r(o) = -3*h(o) - 53*j(o). Let k(q) = -5*q. Calculate k(r(m)).\nAnswer: -265*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z. Let u(b) be the second derivative of 4*b**3\/3 + 45*b. What is h(u(l))?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70710866 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from uuqquuq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {t: 1, e: 1, z: 4, a: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22688576591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 3. What is the highest common divisor of 88 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201956*u**4 - 115037*u**2 wrt u.\nAnswer: 4846944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = t, 0 = -2*x - 3*t + 1 + 1. Let g(m) = -m**3 + m**2 + 2*m + 1. Let w(u) = u**3 - 4*u**2 - 4*u - 6. Let h be w(5). Let l be g(h). Sort x, l, -3.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14114327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/10326 and -64\/36141?\nAnswer: 72282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4112443 (base 5) to base 9.\nAnswer: -111345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7320 = 4*l, 0*h - 9151 = -5*h + 4*l. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.32128058842 - -22.\nAnswer: 30.32128058842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143*h = 1152*h - 18. Let s(k) be the first derivative of -k**3\/3 + 2. Let g(z) = -7*z**2 + 20. Let p(w) = h*s(w) - g(w). Let p(c) = 0. Calculate c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 238*l + 9017. Give z(50).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o - 22*o + 19 + 47 + 37*o - 10.\nAnswer: -5*o + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Suppose -26 = -7*s + 44. What is the greatest common divisor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1 = -3*o, -60*f - 3 = -2*o - 59*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/2, -2, 4\/3, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 49*u - 816. Suppose 0 = 32*t - 8*t + u. Which is smaller: t or 2\/1945?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.1. Let s = -7853\/5 + 1571. Which is the third smallest value? (a) 3\/5 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999?\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 35 - 55 = 0. Let s be (-32030)\/(-45) + h\/9*-1. Suppose 8*f - s = 4*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21325785 to the power of 1\/2, to the nearest integer?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -892 (base 15) to base 6.\nAnswer: -12545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 151 + 142 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 298058, 298055, 298050, 298043, 298034, 298023, 298010?\n\"Answer: -z**2 + 298059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -44, -104, -188?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 1179 + 1151 = 0. Solve -15 = 3*u, u + 9 = -5*t + j*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1057816204+32.025\nAnswer: -1057816171.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 667744.\nAnswer: 5\/667744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172002683 divided by 6.\nAnswer: 172002683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1493 and 626.2417.\nAnswer: -866.7583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274390536 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8 and -30\/17089.\nAnswer: 136712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 25 - 16)*(6*k + 0*k - k).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1528424, -3056847, -4585266, -6113681, -7642092, -9170499?\n\"Answer: 2*w**2 - 1528429*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/91)*w**(-1\/5) assuming w is positive.\nAnswer: w**(-81\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46465987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-22))\/((-1657)\/(-36454))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 19 + (-1 + -6 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 5*d + 2 - 4 + (d - 3*d + 5*d)*(-2 + 0 - 2) - d + d + 5*d + (1 - 2 + 5)*(d + 2*d - d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 17*n + 34. Let v be g(-10). Let h be 831\/12 + 3\/v. Let z = 73 - h. Solve -2*l = -l - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376505195.\nAnswer: 3, 5, 13, 281, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-59 + (-36 - -43))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 + 2. Give s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1785 - -8966. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-507)\/(-2184) + 5\/25*5\/(-8)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -574994107729 and 12.\nAnswer: -574994107717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-205)\/(-52) + (5 + 3)\/(-8). Let z = -35\/13 + k. What is the second biggest value in 39, 5, -3, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 28.05.\nAnswer: 14.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 205633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1*4\/(-2). Suppose -2*n - 2*w - 2 = -0*n, -3*n + 4*w + 11 = 0. Is n smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321272 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**4 + 2*w**3 + 2*w**2 - 1. Let z(g) = 175*g**4 + 10*g**3 + 10*g**2 - 726. Let n(f) = -5*r(f) + z(f). What is the derivative of n(t) wrt t?\nAnswer: 680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/3))\/((-30)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = d + 5*a, 26*d - 2*a - 10 = 25*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6906 + 6908. What is the biggest value in j, 1\/9, 1, 44, 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -144*h**2 - 6*h + 7. Determine i(1).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 15 = 1. Suppose -f*w - 52 = -6*w. Let h = 306 + w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 13) in base 14?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*a + 126*a - 125. Suppose 5 - 5 = a*u. Is u bigger than 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 - 128 = 30*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 1)*(4*f + f + 3 + 0).\nAnswer: 45*f + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*6*90. Let q be -19 - -20 - (0 - 282). Let f = 310 - q. What is the highest common factor of f and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 604250 and 600?\nAnswer: 7251000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163933571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 37, 54, 87, 142, 225?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -353329\/4953 + 5\/1651. Let m = 72 + t. Which is the closest to m? (a) -5 (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -68. Suppose 8*l - 439 - z = 0. Calculate the lowest common multiple of l and 22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 145\/6 (b) 1\/4 (c) 1\/6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 229 = -234. Suppose 0 = 4*o - o - 12. Solve 0 = -r*k + o*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 38*s + 116. Let r = 506 - 499. Let j(o) = o**2 + 13*o + 38. Let z(h) = r*j(h) - 2*a(h). Factor z(i).\nAnswer: -(i - 17)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**2 - 46*r**2 - 48*r**2 + 154*r**2 - 39*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -3*c, -3*l + 0*l = -2*c - 16. What is the third derivative of -405*t + l*t**4 - t**2 + 405*t wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - 8*v - 7. Suppose o - 9 = -0*o. Suppose -5 = -g, -5*s = 4*g - 4 + o. What is y(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56516187 divided by 13?\nAnswer: 4347399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 472403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*k**5 - 2 + (2*k**2 - k**4 - 2*k**2)*(2*k + 2*k - 3*k) + k**5 - k**5 - 2*k**5 - 213694*k**3 + 213694*k**3 - 171*k**5.\nAnswer: -172*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300)*-2 + -5)) + sqrt(1300) + (-1*sqrt(1300) + 2)**2 + (sqrt(1872) + sqrt(1872)*1 - (sqrt(13) - (0 + sqrt(39)\/sqrt(3)))).\nAnswer: 24*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2*(-2)\/51. Let r = 8 - 8.1. Let x = -8 - -5. Which is the closest to r? (a) o (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 + 17*x - 28. Let v be q(13). Find o, given that 12 + 49 - 11 + v - 5*o**2 - 100*o + 31 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = -3*c + 10, 2*c = 5*o + 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.024 (b) 2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66020 + 3?\nAnswer: 66023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + s**3 - 6*s - 2*s + 4*s**2 - 5*s**2 - 2. Let u be m(-7). Suppose -u*h - 30 = -70. Calculate the least common multiple of 6 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-6\/13))\/c)**(-38)\/(c**(10\/13))**8 assuming c is positive.\nAnswer: c**(-308\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:52 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -208? (a) -0.06 (b) 149 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -11\/4, -1, 4\/3, -9 in ascending order.\nAnswer: -9, -11\/4, -1, 0, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201.7 and -0.19.\nAnswer: 38.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannnnannnnaan. What is prob of sequence nna?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-11*(-1 + 2). Let i = 15 + g. Suppose i*z = -1 + 5. Is 1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.450701 and 0.5.\nAnswer: 0.2253505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 208156, 417041, 625926?\n\"Answer: 208885*r - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630478763 to the power of 1\/3, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**2 + f + 21. Calculate m(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 290.\nAnswer: -8, 5, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117.3 - -117. What is the fourth biggest value in a, -2\/9, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 257 - 51)*(-2*k**2 - 1 + 1).\nAnswer: 620*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 9*m**2 - 7. Let i(l) = 4*l**2 - 3. Determine 2*c(y) - 5*i(y).\nAnswer: -2*y**3 - 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-555)\/(-370))\/(1\/7)*(-2)\/6?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -39*z**2 - 11. Let u(t) = -10*t**2 - 3. Determine -6*h(a) + 22*u(a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158935561 to the nearest integer?\nAnswer: 12607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 + n**2 - 2*n - n**3 - 2*n**2 - 2*n**2 - 2*n**2. Give b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137900 and 209608?\nAnswer: 5240200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 10*s**2 - 14*s - 53. Let v be c(-9). Is ((-10)\/25)\/(v\/4320) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6981 (base 14) in base 11?\nAnswer: -12864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/21 - (3 + 1)\/(17\/(25092\/126))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902096.\nAnswer: 2, 31, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -o - 7, 10246*o - 10249*o + 5*j = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3622 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + (-8 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -8*d**3\/3 - 3*d + 14. Let k(i) = 7*i**2. Determine k(n(q)).\nAnswer: 1792*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-8\/3)))\/o*o)\/((o\/(o*o**(-18))*o)\/o))**(-2\/99) assuming o is positive.\nAnswer: o**(92\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i - 1620. Calculate w(76).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.8848 micrograms to nanograms.\nAnswer: 447884.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335700?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.15399 and -0.085.\nAnswer: 2.47808915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016788 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-194)\/5 + (-3)\/15 + 3. Let j = z + 40. What is the highest common divisor of 44 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3581*c**3 + 0*c - 3481*c**3 + 0*c + 7093*c**3.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94623 - -0.0608.\nAnswer: -94622.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 148 + 128. Let m = -39 - -57. What is the remainder when i is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-eight fifths of a milligram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2666*y - 15991. Calculate f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.7299 rounded to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1102?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6 + 8 + 461*y - 5 - 9. Is r(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75972275*b*n**2 - 3*n**2 + 22097793 wrt b?\nAnswer: -75972275*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -183?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574245420 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -29699.3, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2574\/17 - 34319\/238. What is the common denominator of r and -125\/26028?\nAnswer: 182196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 386704, 386699, 386694?\n\"Answer: -5*l + 386709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Let t(u) = -u**2 + 6*u - 2. Let s be t(k). What is the first derivative of -2*p**4 + 4 + s*p**4 + 3*p**4 wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90975 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -532*t**2 - 2*t - 10. Let i(w) = 53198*w**2 + 201*w + 1005. What is 8*i(f) + 804*y(f)?\nAnswer: -2144*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 243038592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174204661 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 + -158. Suppose 5*b - 6 = 4. Suppose -3*n - 6 = 2*q + 2*n, -2*q - n = -b. Solve 0 = -g*r - r + q*j + 2, -3*r + 5*j = 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*f**3*k - 2*f**2*k + 26*k wrt f?\nAnswer: -294*f**2*k - 4*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 375, 1206, 2805, 5424?\n\"Answer: 42*y**3 + 6*y**2 + 3*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226656753?\nAnswer: 3, 103, 733517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 80 = 6*d. Suppose 15*w - d*w - 83 = 0. Round w to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 - 49*w**2 - 36*w**2 - 20*w**2.\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, 3, -2, 143 in decreasing order.\nAnswer: 143, 4, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 2*f + 9. Does 2 divide (-24)\/(-36)*(11 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.87+33254370\nAnswer: 33254364.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + 16.36. Let w = n + -17. Let z = w + -1. Which is the nearest to 1? (a) 3 (b) z (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 46.91, 4, 2 in ascending order.\nAnswer: -0.16, 2, 4, 46.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -29. Suppose 0 = -5*u + 2*r + 210, -4*u - f = 5*r - 146. Let z = u - 23. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 29*l**2 - 59*l - 91. Let g be k(31). What is the closest to g in 0.2, 2, -1\/3, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszlbbbzzbzzzzbbbbzs. What is prob of picking 1 s, 1 l, and 2 b?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*d - 10, 59*d - 6*r + 30 = 63*d. Solve d = 120*y - 127*y + 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 341, 517, 695, 875?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047.5 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 4. Let z be (-3 + -2)\/(f\/(-2)). Let p(x) = x - 13. Let h be p(z). What is the second smallest value in h, -5, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 4, k: 8}. Give prob of sequence nn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose 0 = 2*t + 4*f - n, 4*t + 4*f - 11 = -3. Is (t\/6)\/((-1)\/(-116)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*f + 5*z = -982*f + 26, -3*z = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddododdddodddddoddd. What is prob of picking 4 d?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 9*b - 8. Let l be s(-7). Let g be 4\/l + (-68)\/48. Let z = -2\/215 - 203\/1290. What is the closest to -0.2 in 2\/3, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234391 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4481 divided by 6357\nAnswer: 4481\/6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 18*h. Let w be x(12). Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002219447 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:56 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 164. Let m = l - -111. Calculate the smallest common multiple of m and 35.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3))\/w**(-4))\/(w*w\/w**(-1)*w**(-9)) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02237 to four dps.\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, 1, 4, -8 in decreasing order.\nAnswer: 4, 2, 1, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*5 + 2)**2 - (4 + sqrt(18) + sqrt(2)) - (-2*sqrt(2) + 0 + sqrt(2) - (sqrt(242) + 0))**2*-1.\nAnswer: 20*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 14. Let s = -9 - g. What is the third biggest value in s, 4, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d. Let t be h(8). Let q = 78 + t. Suppose -4*x + 10 = -q. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -332 - -328.03. Let s = -0.03 + m. Which is the second smallest value? (a) 0 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkkkcwcwwkckc. What is prob of picking 2 w and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2216 divided by -554.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 813.595 and 5.\nAnswer: 4067.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01707539 and -0.097.\nAnswer: -0.07992461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*j + 26 = 6*u, -4*u = -j - 12. Suppose -2*p - 8 = u*i, -10 = -3*i - 2*i. What is the units digit of 12*(8\/p + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4 + 0 + 1)*(-l + 4*l - l)*(772*l - 4632 + 4632).\nAnswer: 4632*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**4\/8 - 5*n**2 - 8*n - 8. Let a(y) = -44*y + 32. Determine a(c(d)).\nAnswer: 132*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121196 a multiple of 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:18 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -99057 smaller than -99041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 61*l**2 + 236*l - 54. Let h be b(-34). Solve -14 = -0*y - h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*w**3*y - 418*w**3 wrt y.\nAnswer: 72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4903945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) -0.5 (b) -3 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23233150)\/(-40) - 42\/(-168) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tvtvtvty?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131166, -131184, -131202, -131220?\nAnswer: -131238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483869310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -386735 + 761?\nAnswer: -385864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.82795ml?\nAnswer: 0.07482795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 744505915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 11592*l**2 - 11599*l**2 + 4*l + 115.\nAnswer: -7*l**2 + 4*l + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (5 - 10)) + 18\/(-4). What is the third biggest value in -4, -6, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2172377 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bctbsyyschcy. Give prob of sequence bh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/184 and -53\/23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-3 - 0))*-11. Let u = -53 - h. Let t = -21 - u. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -128.\nAnswer: 11\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 38*l**2 - 38*l - 555. List the prime factors of a(-13).\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let f(d) = 9*d. Let n(k) = 3*k + 5*k - 9*k + 0*k. Let m(s) = -f(s) - 6*n(s). Give m(g(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 13*r + 19*r + 18*r**2 + (-1 - 2*r + 1)*(-4*r - r + 3*r) + 6*r - 6*r + 14*r**2.\nAnswer: 36*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3*x - 12. Let o be m(9). Let j = -58 + o. Let t(r) = -18*r**3 - r. Let d be t(-1). Calculate the greatest common factor of j and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddwccdcdcdcddcdc. Give prob of sequence dwcc.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, -2, -0.1, -2.18, -35, 74?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 268713443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 37 + 21 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -969 - -1672. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3252)\/270 + -4 + 16.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -10\/339039?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.066 - -0.224. Let m = i + -0.29026. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-21))\/4*7. Solve c*h + 4 = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16*c*c**(15\/7))\/(c**(-11)*c)**20 assuming c is positive.\nAnswer: c**(1534\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c**2 - 6*c. Let w(p) = p. Let l(m) = -6*w(m) - y(m). Let s(a) be the first derivative of 2*a**3\/3 + 72. Calculate s(l(h)).\nAnswer: 578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 - 578 = 179*v + 1885 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 0*u**3 + 5*u**3 - 2*u - 4*u**3 in the form c*u + h*u**3 + o + k*u**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 91 = -3*g. Let a be (-8)\/((-16)\/g)*-36. Let b = 11 + 7. Calculate the highest common factor of a and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -921, -927, -907, -849, -741?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, l: 1, u: 11}. Give prob of picking 1 a and 1 u.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 14*f**2 - 12*f - 31. Let j be d(16). Suppose -38 - j = -3*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1405 and 290.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35330*u**2 - 40*u - 900 wrt u?\nAnswer: -70660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 180*s**3 - 109*s**2 + s. Let l(m) = m**3 - m. Let f(y) = l(y) + o(y). What is the third derivative of f(i) wrt i?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1427.5 and -0.4.\nAnswer: 1427.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9538 divided by 44.\nAnswer: -4769\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 13*x - 87. Let s be j(-18). Let b be s\/4 + 108\/48. Solve 3*f - m = m - 12, b*f = -m - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.3 and -1546.6.\nAnswer: -1547.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -3*1*sqrt(78))*4)\/((sqrt(480)\/(sqrt(20)\/sqrt(2)))\/sqrt(8))*3.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 7. Let t be w(5). Let g(x) = 20 - 12*x + 17 - 29 + x**t. What is the least common multiple of 11 and g(12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 13*g - 28. Let c be m(12). Find the common denominator of 107\/16 - (1 + 1) and 1*-2 - c\/64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 1. Suppose 28 + 7 = -5*h. Is (4\/v - 0)*(h - -22) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:25 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3 + -6. Suppose 3*x + 28 = 25. Which is the nearest to x? (a) -5 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q. Suppose -5*b - 8 = -23. Let j = -2 - -2. Let h(x) = -b + x + j*x + 3. Calculate h(a(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, b: 9, n: 3, s: 1}. Give prob of picking 1 b and 1 c.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*v - 0*v + 4*f, -3*v + 2*f = 9. Let i be 6\/4*4\/3. Let w(k) = 4*k**2 - i - k + k**3 - 4 - 5*k. What is w(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 1 - 3*t + 2*t**2 - t**2 + 7*t**3 - 9*t**3. Suppose -4*v + 0*v + 4 = 0. Let u be f(v). Let o(y) = -y**2 + y + 1. Calculate o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.10269 and -221.6?\nAnswer: 22.756104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345*b + 944*b + 20084*b + 852*b to x*b + f and give x.\nAnswer: 22225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 - 7*j + 47. What is t(-5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23282 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1408721238 by 6.\nAnswer: 234786873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61435.\nAnswer: 5, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1. Let n(w) = 4*w + 8. Let q(a) = -2*n(a) - 17*o(a). Let g = 5 - 7. What is q(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = -5*b + 77. What is the common denominator of (b\/84)\/(2\/(-18)) and 93\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 5*j + 2. Is l(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7 - 2 + 7*f + 0. Let t be c(-9). Let m = t - -130. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14004643\/10544576 - -2\/164759. Calculate the common denominator of i and 99\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279.2561943 + -29.\nAnswer: -308.2561943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164975 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3580, 4068, 4572, 5098, 5652, 6240, 6868, 7542?\nAnswer: 8268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 316*a**2 - 577*a**2 - 2283*a**2 - 4485*a**2 + (2 + 0 - 6)*(0*a**2 + 3*a**2 - a**2) to the form x + w*a + r*a**2 and give r.\nAnswer: -7037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaae. What is prob of sequence ka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 - 66) + 331037\/2508?\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-26 + 31 + (-7 - 0)). Solve s*n - 70 = -55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - ((-54)\/(-5))\/(-6). Let s(q) = q + q - q**v + 1 + q + 2*q. Give s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**3\/3 - 6*m**2 - 5*m - 2. Let r(i) = -8*i**2. What is r(h(x))?\nAnswer: -32*x**2 - 384*x - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1090\/49, 27, 44, 2 in descending order.\nAnswer: 44, 27, 2, -1090\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138114285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 12 = 0. Suppose 5*t - c = 2. Is -1 + t - (-7)\/1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 175 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353911.\nAnswer: 353911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - 738\/12*3\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39608?\nAnswer: 2, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1389.3 + -1033. Let y = m + -356. What is the closest to -2\/7 in -2, 1\/8, y, 3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -290974 <= -290959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/((-101962)\/(-2505352)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18387 and -0.7.\nAnswer: 12870.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139248 + 370956679\/2664. Calculate the common denominator of 109\/144 and o.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8286*b + 9471. Let r(c) = -2*c. Let h(o) = -f(o) - 2*r(o). Differentiate h(m) wrt m.\nAnswer: -8282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:30 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 4. Let p(t) = -4*t + 7*t**2 + 6*t - h*t + t**3 - 8. Suppose 8*m = 10*m + 14. Calculate p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = t + 27, -4*a + 141 = -5*t + 116. Let k(v) = v**3 - 11*v**2 + 8*v + 21. Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 172, 383, 676, 1051, 1508, 2047?\n\"Answer: 41*p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 3, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17206.\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 4. Let k(a) = -3. Suppose -5*u - 393 = 2*w + 1, 5*w = 2*u + 175. Let d be (-17)\/4 - u\/64. Determine d*k(p) - 2*j(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(-3)*(-12 + 9). List the prime factors of 4\/(-16) + d\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486558*t**2 + 162235*t**2 + 162231*t**2 + 162087*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -3*sqrt(475)).\nAnswer: -60*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - p - 17, 13 = -y + 5*p. Factor 11*r**4 - y*r**4 + 2*r**2 - 1 - 5*r**4.\nAnswer: -(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5601\/17 - -50443\/153. What is l in 0*l + r - 2\/9*l**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose p - 12 = -w*p. Suppose p*z = 73 - 22. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 84 = 2*v. Let z = -7 + v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958445?\nAnswer: 5, 191689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521*u**3 + 187*u - 8700 + 350*u + 8700 wrt u.\nAnswer: -3126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235425 and 764325?\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 79. Suppose -2*u - 4*l + 2*l = y, 74 = -3*u + 2*l. What is the units digit of 2*3\/(u\/(-124))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -3*a, 4*l + 12 = 5*a. Let n = 5 - 5.2. Let f = 0 + -0.1. What is the smallest value in f, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596846?\nAnswer: 2, 3, 37, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84 + -6524a7?\nAnswer: -652423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**7 - 4*p**3\/3 - 5. Find the third derivative of v(f) wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2105*g + 2123*g - 116442. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/638 and 1\/35573662.\nAnswer: 391310282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2598, 2597, 2596, 2595?\n\"Answer: -h + 2599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s**2 + 4*s - 3. Let w be t(-2). Suppose -2*c + 8 = -0*c. Suppose c*p = w*p. Solve 0*u + 1 = -5*v - u, -4*u + 16 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((-404)\/4 - -77)?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 329, 560, 793?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1624831 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7228839?\nAnswer: 3, 2409613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 5. Let r be n(0). Put 2, r, -1 in descending order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098178 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:06 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1253 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -274.\nAnswer: -274, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 0.03, -12, -1, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-3 - (sqrt(5) + 1 + 0).\nAnswer: -13*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 250\/20. Suppose 923 + i = 12*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2, -3, -7.175?\nAnswer: -7.175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 8. Let n be k(-2). Suppose -2*w - n = -22. Differentiate -18 - 1 + w - 7*c wrt c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 3*p**2 + 69*p - 22*p - 25*p.\nAnswer: 21*p**2 + 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36770, -59662, -82554, -105446, -128338, -151230?\n\"Answer: -22892*a - 13878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2241614*k + 8966457. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 1723?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = o, 0*l + 6*o - 6 = -l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36732 + 36943. Calculate the remainder when 980 is divided by g.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 15) to base 12.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 33 - 25. Suppose -n*t + 19 = -f, -t = -5*f + 2 + 2. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 16.8?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 9.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-1) + (-84)\/(-12). Solve -3*x - 3*a + 21 = -k*a, 3*a - 25 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 42*r + 5185. What is the remainder when 307 is divided by v(-117)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2024*d**5 - 818*d**5 + 978*d**5 + (-d**4 + d**4 + d**4)*(-5*d + 5*d + d).\nAnswer: -1863*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 12*t**2 + 14*t - 2. Let d be l(11). Suppose -4*g = 4, -d = -5*m + g + 10. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 33113868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -5)\/(1 - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/3968558 and -17\/682?\nAnswer: 3968558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1819, 1818, 1817, 1816, 1815?\nAnswer: 1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.11, -0.4, 1, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1 - (-4)\/3). Suppose -m - 28 = -r + 3*m, 0 = -y*r - 4*m + 68. Suppose -3*q + r = q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 3. Suppose b = 3*l - 0*l - 65, a*l + b = 67. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 182270, 182267, 182262, 182255?\n\"Answer: -b**2 + 182271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 1\/56*j**8 + 0 + 0*j**3 - 1\/4*j**4 + 0*j**7 + 3*j + 0*j**6 + 0*j**2 + 0*j**5. What is the third derivative of q(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2\/365, -23, -3 in increasing order.\nAnswer: -24, -23, -3, -2\/365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*x = -0 - 16, 3*x + 6 = -3*b. Suppose 0 = 3*c + b*c + 2315000. What is c rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1931029041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giwrkcik. Give prob of picking 1 g and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -563, -557, -553, -551, -551, -553?\n\"Answer: -m**2 + 9*m - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 7) in base 6?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11452.6953 milliseconds in days?\nAnswer: 0.00013255434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-126)*(-1 + -14). Let s(w) be the first derivative of -4*w**3\/3 + 3*w**2 + 9. Let b(p) = 2*p**2 - 3*p. What is c*b(y) - 2*s(y)?\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.50243 micrograms to milligrams.\nAnswer: 0.06950243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*a = -3*f - 27, 6 = 2*a. Suppose -f = 3*o, -10*r + 7*r + 110 = -4*o. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 180\/42 - (-2)\/(-7). Find u, given that -u**4 - u**4 + 6*u**2 + 3*u**5 - q*u**4 - 3*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -13*s + 12. Let v be ((-30)\/(-24))\/(s\/440052). Let w = -673355 + v. What is w rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*g - 81*g - 71*g**2 + 12*g**2 + 129*g**2 - g**3 + 261*g**2 to the form z + m*g + j*g**3 + u*g**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1)\/2*(-1 + -5). What is the second smallest value in 0.3, h, 5, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -2.3. Let w = 1.97 - -0.03. Which is the closest to w? (a) -1 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 638 + -8?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*l**3 - j**3*l + 13*j**3 - 11419*j**2*l**4 + 3*j*l**2 + 90*l**2 wrt l?\nAnswer: -6*j**3 - 274056*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb (base 13) to base 14.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m = 0. Suppose -4*h - j + 327 = -m*j, 0 = -h + j + 78. Suppose -4*r + 6*r + 3*d = h, 5 = 5*d. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 17119 = 5799. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -52*h + 78. Let g(p) = 35*p - 52. Let l(j) = -8*g(j) - 5*i(j). Let x be l(-5). Let c = -91 + x. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0. Let n be ((-1)\/5)\/((-3)\/(-2)). Let i = -1233\/11 + 112. What is the second smallest value in n, i, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851 - 7197 = -9*m. Suppose m = 6*u - 198. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*14\/5*(-1440)\/864?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 3*s. Let x(d) = 56*d - 1. Let j(m) = -m. Let a(z) = 3*j(z) + x(z). Does 26 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7218 less than 0.93408654?\nAnswer: 7218.93408654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5470918*v**3*y*z + 3*v*y + 13*y*z - y - 757196 with respect to v.\nAnswer: -16412754*v**2*y*z + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 6*n - 2. Let j be s(8). Let i(a) be the third derivative of a**6\/120 - a**5\/12 - a**4\/8 - 8*a**3\/3 + 493*a**2. Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 504?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + h - 16 = -3098, 3*h = 6. Suppose 5*g + 0*g = 4*s + 950, -4*g + i = -s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -304, 3, -3, 1, -86\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = -4*h + 28, -4*w = h - 17. Suppose -m + 59 = -3*v, -v = -m - w*m + 192. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2 + 3 - -9. Let f = -5 + p. Find the second derivative of 2 - 2 - z - 2*z**f wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.5. Sort -1\/4, i, 0.04, 2 in decreasing order.\nAnswer: 2, i, 0.04, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + 5. Let s be p(0). Let y = s + 1. Solve 4*v - 2 = y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 13425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 3926435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*i + 8 + 2 - 2 - 8.\nAnswer: 149*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15812957*i**2*k - 42*i*k - 132*i + k - 403 wrt i.\nAnswer: 31625914*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37513 - 35469 = 146*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0 + 20. Let g = -0.87 - -0.47. What is the closest to v in g, 3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138\/5*l + 3\/5*l**2 + 27 = 0. Calculate l.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.550848 months in decades?\nAnswer: 0.1545904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6, m: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n + 9. Determine c(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7915*i**4 - 2*i**3 + 2*i**2 + 3338 with respect to i.\nAnswer: -31660*i**3 - 6*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:42 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 618700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 24*t + 77. List the prime factors of q(-21).\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-2))\/(6\/6). Suppose 89*v - 84*v + a = w, -4*a - 17 = 3*v. Solve 3*r - 2*r + 4*n = v, -3*r - 14 = -5*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Let j be 6\/(-15) + (-16)\/60. Let f = 0.07 + -0.37. Which is the nearest to j? (a) u (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-14)\/(r*r**12))**(-37) assuming r is positive.\nAnswer: r**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -93 - 0.1\nAnswer: -93.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*v**2 - 13762*v + 304070?\nAnswer: 36*v - 13762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let t be 2\/b - 2\/3. Let h = -157 - -788\/5. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + t = -661, -5*k - 2*t = 971 - 4318. Calculate the remainder when k is divided by 176.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/7))**(11\/3)*(d**2*d)**(-2\/111))**(-33) assuming d is positive.\nAnswer: d**(4939\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**2 + 53. Let k(v) = -6*v**2 - 9*v - 1. Calculate k(c(d)).\nAnswer: -726*d**4 - 7095*d**2 - 17332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*f + 1 - 3)*(-1 + 1 - 1)*(-1 + 1 + f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10 = 8*m. Suppose -62*f = -53*f - 5895. Let u = f + -652. Solve t = u*o + m*t - 4, -t = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 10 = -28*t + 31*t, 5*t + 1250*h = 1245*h + 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90 + 126)*2\/4. Solve 47*m + 155 = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnltn. What is prob of picking 1 n and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*f - 4*f + 9045 - 8145 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 - x**2\/2 - x + 3. Let n = 12 + -17. Let q(d) = -3*d**2 + 4*d + 4. Give n*u(o) - q(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) -9\/1654 (c) -2\/11 (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17115691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 30\/50 + (-239037)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, v: 1, q: 3, n: 10}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2288 + 27539\/12. Let c = 3603 - 21481\/6. Calculate the common denominator of c and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 23 - 70 = 0. Let a = 181\/2 + o. Let h = 0.3 + 0.2. What is the second biggest value in h, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8592404 rounded to the nearest 10000?\nAnswer: 8590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 2987 = -137*t - 2837 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2 - 114232*w - 26507478 = 0.\nAnswer: -56883, -233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 3\/3)*38. Let s = 69 + d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) - (-31)\/4. Let m(g) = 9*g + 13. Let n be m(p). Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-8)*4822. Suppose -3*p = -v + 6*v - o, 478 = v + 2*p. What are the prime factors of v\/28 + (-2)\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/288*-144)\/((-6)\/(-424))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-54))\/((-7)\/(-63)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221446196 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73479, -147040, -220601, -294162, -367723, -441284?\nAnswer: -514845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49820 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: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2267 - -2266.9. What is the closest to -2\/5 in -2, 3, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*l - 35 = -327*l. Solve 63*z = 56*z + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 3559370*d**2 + 7118746*d - 3559374 = 0. What is d?\nAnswer: -1779687, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164283 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/270)*12*(-3)\/(-108)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-24) + 9\/(-24)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -144357261, -144357260, -144357259, -144357258, -144357257?\n\"Answer: u - 144357262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 69. Let t = 33.1 - i. Which is the third smallest value? (a) t (b) 0.2 (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(15\/4) - (-16)\/(-24). Let n = -7 + 12. Which is the nearest to 8? (a) 0 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-2412)\/(-21)))\/(14*9\/(-216)).\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 + -143. Let v = -58 + n. Calculate the remainder when v is divided by 215\/15 - 4\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-16))\/d)**(-16\/5)*(d**(-2\/3)\/d)**5 assuming d is positive.\nAnswer: d**(-893\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 58\nAnswer: 58.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90450 and 1237301730?\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*g - 1, 5*u - u - 4*g - 20 = 0. Solve 7 = u*l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - -6653?\nAnswer: 666b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/84 and ((-27)\/(-192))\/(7\/252).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.29, -29, 9\/5, 0.1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*l - 82. Let b be 0 + l\/15 + -2. Sort 1\/4, b, 0.2 in decreasing order.\nAnswer: 1\/4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 2*q**5\/15 - 22*q**3\/3 - 20*q**2. Differentiate a(t) wrt t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u - 30. Let m = -5 - u. Is m at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2301231 (base 4) to base 3\nAnswer: 120121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((5\/(-670))\/((-2)\/(-4))). What is the units digit of 10 + 4 + -9 - b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26354373\/2 at most 13177188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2848856*g**3 + 3140102*g**2.\nAnswer: 17093136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**4\/2 - 5*t**3\/3 - 2*t**2 + 2*t - 25. Let x(w) = 5*w**3 - 4*w**2 - 3*w + 2. What is -3*r(l) + 4*x(l)?\nAnswer: 2*l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/48 - 458\/(-12) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - -768?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:07 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 33*p**2 - 16*p - 335. Give r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 9*h + 1499. Let p = -162 - h. Solve 0 = -4*f - p + 47 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.2 (c) -2\/9 (d) -4213.192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12245590 and 232379.\nAnswer: 2611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(468)*-5 + 1)**2*-5*6.\nAnswer: -351120 - 3600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 13*d**2 - 3*d - 21. Let q be w(-13). Let n be (-21)\/q*(4 + 325\/(-70)). Which is the closest to 2\/3? (a) n (b) -1\/2 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*p**3 + 0 + 3\/2*p + 7\/2*p**2 + 1\/2*p**4.\nAnswer: p*(p + 1)**2*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 + 187. Let w = 413.9 - x. Is w at most 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -5, 21, -15, -2 in descending order.\nAnswer: 21, -2, -5, -15, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 42*v**2 + 115*v + 26. Let m be l(-38). Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36a18 (base 11) in base 9?\nAnswer: -80802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + w + 1 + w - 1 + w + 0*w + 0*w - 3*w + w + 4*w + (0 + 0 - w)*(-3 + 3 - 2) + 0*w + 0*w - 2*w + 3*w + 0*w - 5*w - 2 - w + 3 - 3*w.\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 10*a - 7. What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from nznznzznnnnnnnnz.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 3*i - 2*t - 974, 1052 = 5*i + t. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414987.\nAnswer: 3, 17, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3*3)\/(125\/102125)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 + 3*h - 3. Let w(i) be the second derivative of i**4\/4 - i**3\/3 + i**2 - 3*i. Let a(b) = -3*w(b) - 2*z(b). Let c(u) = 4*u. Give c(a(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j + 13. Let r be l(-2). Let t = 121\/7 + r. Which is the closest to t? (a) 6 (b) 4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -3\/8 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(2\/(-12)). Let j = -21 - -8. Let w = 11 - j. Calculate the highest common factor of w and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5 - 49.5. Let p = z - -56.5. Let b = 0.1 - -0.1. What is the third biggest value in 2, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and -1951.5.\nAnswer: 122944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 42. Suppose -32323 = -b*z - 10147. Suppose -z = -5*c - 9*c. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let l be f(5). Let k = l + 0. Factor g**k + 0*g**4 - g**4 + 0*g**3.\nAnswer: -g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-19)\/i)\/(i\/(i\/i**(15\/4))) assuming i is positive.\nAnswer: i**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175, 236, 297, 358, 419?\n\"Answer: 61*t + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178397657?\nAnswer: 619, 288203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5992 times -53334\nAnswer: 319577328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.98711?\nAnswer: 3.97422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 1. Let w = p + -2.2. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*i - 5 + 0)*(-38*i**4 - 935*i**3 + 935*i**3 + (3*i**3 - 2*i**3 + 0*i**3)*(0*i + 5*i - 4*i) - 2*i**4 + 0*i**4 + 0*i**4).\nAnswer: -78*i**5 + 117*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c3108 (base 16) in base 8?\nAnswer: 37030410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 - 3a?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j)*(-j**2 + 0*j + 0*j) + j**3 + 0*j**3 - 3*j**3 + 3*j - 2*j**3 - 3*j - 17*j**3 - 3*j**3 - 51*j**3 + (-3 - 2*j**2 + 3)*(j + 4 - 4).\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 6)\/(21 - 20) - -29 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*s**4\/11 - 900*s**3\/11 + 386*s**2\/11 + 312*s\/11 + 40\/11 = 0. Calculate s.\nAnswer: -2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 113 = m - 111, -p = -3*m - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*m + 3, 0 = -p - 2*m - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3621.5 - -3622. What is the fourth smallest value in 85, b, -0.5, -7?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 78*o + 2657. Let n be z(-34). Let x = 8 - 5. Sort n, x, 26 in increasing order.\nAnswer: x, n, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7 + 8 - 138 + 123 + 2*a**2. Let m(n) = -112*n + 7. Determine u(m(v)).\nAnswer: 25088*v**2 - 3136*v + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 748441 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 2. Let t = 0.5561 + -66.5661. Let k = t - -66. Sort -5, k, c in decreasing order.\nAnswer: k, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 2 = 4*j, -j - 3*y + 8 = 0. List the prime factors of 5 + j - (-62 + 13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((-20)\/(-50)*5)*4*(-35)\/56.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10172 + -50616\/5. Is v at least 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (2 + -4 + 6 + 8)) + -1 + 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325273 times 0.2?\nAnswer: 65054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(475) - (0 + sqrt(475))*1) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s - 14 + 14)*(-1 + 3 + 5) - 5*s - 5 + 5.\nAnswer: 86*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*y**2 - 7*t**2*y + t**2 - 3870*t - 4*y**3 with respect to y.\nAnswer: 2*t**2*y - 7*t**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = t, -191 = -3*s - t. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 58. Let a = m - 11. Calculate the greatest common divisor of a and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((-3)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 60 = 11*f. Suppose -5*o + 4*o = -f. Suppose 3*r + a = -0*a + 15, 4*r = -5*a + o. Calculate the highest common divisor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*o = 16, -3*t - 27 = -0*t + 4*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78945.6 rounded to the nearest one hundred?\nAnswer: -78900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 749*f**4 - 436*f?\nAnswer: 8988*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y**2 - 59*y + 172. Let h be t(3). Calculate the highest common factor of 333 and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127a (base 11) to base 12.\nAnswer: -b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a**6 - 8*a**5 - 544*a**2.\nAnswer: 5400*a**3 - 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**6 + 13*a**3*y**2 + 2736*a**2*y**2 wrt a.\nAnswer: 840*a**3 + 78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let h(m) = 2042*m. What is d(h(k))?\nAnswer: -2042*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 48. Factor 3\/4 + 3\/4*w**n - 3\/2*w**2 + 0*w**3 + 0*w.\nAnswer: 3*(w - 1)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14879376140 less than 10602?\nAnswer: 14879386742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1196 (base 14) to base 9.\nAnswer: -4183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/9)\/(212\/(-159)) + (-1772320)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101487501 to the power of 1\/2, to the nearest integer?\nAnswer: 10074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/360 + 17*y**5\/180 - 2*y**4\/9 - 59*y**2 + 3*y. Factor h(f).\nAnswer: -f*(f - 16)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13066759543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*j - 18, 3*i + 4*j - 27 = -5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 12*y = -4*h - 59, -h + 0*y = -3*y + 13 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891812 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 16*y + 11. Give w(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91.24 - 3.64. Let k = -88.6 + j. Let g = 75\/11 - 719\/99. Which is the closest to g? (a) 0.2 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k**3 + 11*k + 5. Let m(u) = -3*u**3 + 2*u + 1. Let s(g) = 2*b(g) - 11*m(g). Suppose 0 = -4*j + 3 + 1. What is the units digit of s(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 168\/1818*7*2\/(-8) and 97\/30.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-9)\/15)*3. Let n(y) = 18*y**2 + 10*y + 1. Is n(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*g + 18 - 88, -5*h + g + 175 = 0. Let c(s) = s + 1. Let t be c(0). Suppose -f = t - 13. Calculate the remainder when h is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1165*l**2 - 30300*l - 138780.\nAnswer: 5*(l - 257)*(l + 6)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (66\/(-44))\/((-5)\/2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*r**6 - 3*r**5 + 2*r**2 - 374 wrt r.\nAnswer: -25440*r**3 - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-8))\/(3\/(-211)). Let a = -53 + m. Let h be (10 + 364\/(-35))*(-5)\/88. Is a less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -384335 or -384411?\nAnswer: -384335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 143. Let f be r(25). Let l(m) = m**3 - 8*m**2 + 2*m + 33. Let j be l(f). Let v be (8\/10 + -1)*9. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 50*g + 610. Let z be s(29). Suppose 0 = -4*p + 2*i + 32, -3*p + p + 4 = 2*i. Differentiate z - 10*b**3 - 4 - p - 6 wrt b.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(1008))*-6)**2 + -1 + (0 + sqrt(1008) + -1)**2.\nAnswer: -13848*sqrt(7) + 582192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:10 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3110*k + 4. Let l(b) = 2*b. Calculate f(l(w)).\nAnswer: 6220*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgb when three letters picked without replacement from nggggggbggngb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14763 + 0?\nAnswer: 14763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 4, q: 5, t: 1}. What is prob of picking 4 c?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1289 - 803. Let i(z) = -z**3 - 2*z**2 + 2. Let f be i(-2). Suppose 5*u - f*m - 773 = 2*m, -5*m + v = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -11, -32, -33, 4, 5 in decreasing order.\nAnswer: 5, 4, -11, -32, -33, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 2*x + 2. Determine f(4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53.8 - -54. Let i(u) = -5*u - 1. Let k be i(-1). Suppose -k*n = -0*n - 8. Which is the nearest to -0.1? (a) y (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, -4, -38 in ascending order.\nAnswer: -38, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1302604.\nAnswer: -3\/651302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - v + 5*v = 17*v. Put v, -3, 23, -4 in increasing order.\nAnswer: -4, -3, v, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -35\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24037.13ms?\nAnswer: 24037130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-8)\/(192\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -11*h**6\/15 - 19*h**4\/6 + 33*h - 8. Let w(s) be the first derivative of q(s). What is the third derivative of w(m) wrt m?\nAnswer: -528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 4. Suppose 0 = -2*l - 3*y + 22 - 9, -29 = -4*l - 5*y. Let a(r) = 26*r - 12. Let z(x) = l*j(x) + 4*a(x). Is z(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777.31 centuries in months?\nAnswer: 2132772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86*m - 21*m - 252*m)*(10*m**2 - 8*m**2 + 18*m**2 + 16*m**2 + 4*m**2 - 8*m**2) as v*m**3 + g*m + n*m**2 + l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 4*t + 5*t)*(t - t + t) + 7*t**2 + 19*t**2 + 2*t**2 + (185*t - 11*t - 62*t)*(-1 - 2*t + 1) to the form m*t + c + b*t**2 and give b.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -2 + 94\/3*c**3 + 0*c - 42*c**2 - 89\/24*c**4. Differentiate q(r) wrt r.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4023 (base 13) to base 4\nAnswer: 2021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 359*g - 1916. Give r(66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 37*i**2. Let t(z) = z**3 + 6*z**2 - 11. Let o be t(-4). Let f = -18 + o. Let d(y) = -f*y + 0*y + 4*y. What is d(u(s))?\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35129, -33700, -31325, -28004?\n\"Answer: 473*s**2 + 10*s - 35612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 41, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*r + 46 + 171 + 111 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2466450 and 988610.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + -8 + (2 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/105 - 603*i**6\/10 + 9461*i**5\/60 + 38*i**2 + 4*i + 1. Find the third derivative of x(g) wrt g.\nAnswer: 48*g - 43416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from gggfggfgggfgfggfggg.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*x = 647*x + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}